From 1d1ed7093384b57256249b733f6acca2093227a0 Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sat, 19 Sep 2026 17:24:12 +0200
Subject: [PATCH 01/14] feat(nebula-lab): acquire the VST Omega Centauri
reference image
---
.gitignore | 3 +++
.../lab/src/cli/commands/acquire-images.ts | 21 ++++++++++++++---
labs/nebula/sources/lmc-smash-full.webp.json | 2 +-
.../sources/omega-centauri-vst.webp.json | 23 +++++++++++++++++++
labs/nebula/sources/reference-images.json | 18 +++++++++++++++
labs/nebula/sources/smc-smash-full.webp.json | 2 +-
6 files changed, 64 insertions(+), 5 deletions(-)
create mode 100644 labs/nebula/sources/omega-centauri-vst.webp.json
diff --git a/.gitignore b/.gitignore
index 4d0d756284..e1dca8c700 100644
--- a/.gitignore
+++ b/.gitignore
@@ -211,6 +211,9 @@ src/objects/*/source/**/*.bpc
# the accepted bytes instead of replaying them (`--verify-replay` still can).
/labs/nebula/models/*/candidates/prepared/*.webp
/labs/nebula/models/*/clouds-observation/source/target.png
+# Reference derivatives rebuilt by `acquire-images` from the hash-pinned publisher TIFF in the ignored cache.
+# Their `.webp.json` sidecars stay tracked: the pins and the interpretation are the record, the pixels are not.
+/labs/nebula/sources/*.webp
# Reacquirable distant-world paper originals; acquisition recipes pin exact bytes.
/src/objects/oumuamua/source/reference/*.html
/src/objects/sedna/source/reference/*.html
diff --git a/labs/nebula/packages/lab/src/cli/commands/acquire-images.ts b/labs/nebula/packages/lab/src/cli/commands/acquire-images.ts
index a00a43db95..40102bd63e 100644
--- a/labs/nebula/packages/lab/src/cli/commands/acquire-images.ts
+++ b/labs/nebula/packages/lab/src/cli/commands/acquire-images.ts
@@ -12,8 +12,14 @@ interface ReferenceImageRecipe {
schema: 'cssearth-lab-reference-images@1';
images: { id: string; url: string; sha256: string; bytes: number; width: number; height: number;
publisherUrl: string; credit: string; license: string;
- output: { path: string; quality: number; effort: number; sha256: string } }[];
+ // `resizeWidth` is for a source libwebp cannot encode at native size: the VST Omega Centauri mosaic
+ // (14540px of a crowded star field) overflows the encoder at every quality, while 8192px encodes. It only
+ // ever reduces, and the recorded interpretation states the reduction, so a downscale is never silent.
+ output: { path: string; quality: number; effort: number; sha256: string; resizeWidth?: number } }[];
}
+/** sharp reports the sample type; a provenance record states the bit depth a reader recognises. */
+const DEPTH_WORDS: Record = { uchar: '8-bit', ushort: '16-bit', ufloat: '32-bit float', float: '32-bit float' };
+
async function hash(path: string) {
const digest = createHash('sha256');
for await (const part of createReadStream(path)) digest.update(part);
@@ -42,12 +48,21 @@ for (const image of recipe.images) {
if (metadata.width !== image.width || metadata.height !== image.height) throw new Error(`Reference dimensions differ: ${image.id}`);
const output = resolve(image.output.path);
await mkdir(dirname(output), { recursive: true });
- await sharp(original).rotate().toColourspace('srgb').removeAlpha()
+ const resizeWidth = image.output.resizeWidth;
+ if (resizeWidth !== undefined && !(Number.isInteger(resizeWidth) && resizeWidth > 0 && resizeWidth < image.width)) {
+ throw new TypeError(`Reference resizeWidth must be a positive integer below the native width: ${image.id}`);
+ }
+ const pipe = sharp(original).rotate().toColourspace('srgb').removeAlpha();
+ await (resizeWidth === undefined ? pipe : pipe.resize({ width: resizeWidth }))
.webp({ quality: image.output.quality, effort: image.output.effort }).toFile(`${output}.part`);
if (await hash(`${output}.part`) !== image.output.sha256) throw new Error(`Reference derivative pin differs: ${image.id}`);
await rename(`${output}.part`, output);
await writeFile(`${output}.json`, JSON.stringify({ schema: 'cssearth-lab-reference-image@1', source: image,
- interpretation: 'Full spatial resolution, converted from publisher 16-bit TIFF to 8-bit sRGB WebP. Lossy display reference; no crop or resize. Original TIFF remains in the ignored cache.',
+ interpretation: `Converted from the publisher's ${DEPTH_WORDS[metadata.depth ?? ''] ?? `${metadata.depth ?? 'unknown'}-sample`} TIFF to 8-bit sRGB WebP. Lossy display reference; never cropped.${
+ resizeWidth === undefined
+ ? ' Full spatial resolution: not resized.'
+ : ` Reduced from ${image.width}px to ${resizeWidth}px wide because libwebp cannot encode this source at native size; measure angular scale from the recorded native dimensions, not from this file.`
+ } Original TIFF remains in the ignored cache.`,
outputBytes: (await stat(output)).size }, null, 2) + '\n');
console.log(`REFERENCE_READY ${image.id}: ${image.width}x${image.height}, ${image.output.path}`);
}
diff --git a/labs/nebula/sources/lmc-smash-full.webp.json b/labs/nebula/sources/lmc-smash-full.webp.json
index c1f7238d40..e85b3fd5bc 100644
--- a/labs/nebula/sources/lmc-smash-full.webp.json
+++ b/labs/nebula/sources/lmc-smash-full.webp.json
@@ -17,6 +17,6 @@
"sha256": "7e29b020ac5de2634a909d9b1adc45eea8ca482dd5681464448b1fe26afbbcd0"
}
},
- "interpretation": "Full spatial resolution, converted from publisher 16-bit TIFF to 8-bit sRGB WebP. Lossy display reference; no crop or resize. Original TIFF remains in the ignored cache.",
+ "interpretation": "Converted from the publisher's 16-bit TIFF to 8-bit sRGB WebP. Lossy display reference; never cropped. Full spatial resolution: not resized. Original TIFF remains in the ignored cache.",
"outputBytes": 28128434
}
diff --git a/labs/nebula/sources/omega-centauri-vst.webp.json b/labs/nebula/sources/omega-centauri-vst.webp.json
new file mode 100644
index 0000000000..03b949abfb
--- /dev/null
+++ b/labs/nebula/sources/omega-centauri-vst.webp.json
@@ -0,0 +1,23 @@
+{
+ "schema": "cssearth-lab-reference-image@1",
+ "source": {
+ "id": "eso1119b",
+ "url": "https://cdn.eso.org/images/original/eso1119b.tif",
+ "sha256": "8df2e2ad462b9dc5b7437320fb2c6fd247c11746b4b2ffd3da95846b9083cad6",
+ "bytes": 555370438,
+ "width": 14540,
+ "height": 14540,
+ "publisherUrl": "https://www.eso.org/public/images/eso1119b/",
+ "credit": "ESO/INAF-VST/OmegaCAM. Acknowledgement: A. Grado, L. Limatola/INAF-Capodimonte Observatory",
+ "license": "CC-BY-4.0",
+ "output": {
+ "path": "labs/nebula/sources/omega-centauri-vst.webp",
+ "quality": 92,
+ "effort": 5,
+ "resizeWidth": 8192,
+ "sha256": "6e30ef43b59f2ca3a8ac076bc7f2e9b1da801b9665df027feb5e3018f331a1a8"
+ }
+ },
+ "interpretation": "Converted from the publisher's 8-bit TIFF to 8-bit sRGB WebP. Lossy display reference; never cropped. Reduced from 14540px to 8192px wide because libwebp cannot encode this source at native size; measure angular scale from the recorded native dimensions, not from this file. Original TIFF remains in the ignored cache.",
+ "outputBytes": 20914012
+}
diff --git a/labs/nebula/sources/reference-images.json b/labs/nebula/sources/reference-images.json
index d1b6d9f9f5..088e5db935 100644
--- a/labs/nebula/sources/reference-images.json
+++ b/labs/nebula/sources/reference-images.json
@@ -34,6 +34,24 @@
"effort": 5,
"sha256": "3ed2fd1ae7729b860f00d2bd7d0c13b6a05f81c8d66e587e626cc4e2bac92698"
}
+ },
+ {
+ "id": "eso1119b",
+ "url": "https://cdn.eso.org/images/original/eso1119b.tif",
+ "sha256": "8df2e2ad462b9dc5b7437320fb2c6fd247c11746b4b2ffd3da95846b9083cad6",
+ "bytes": 555370438,
+ "width": 14540,
+ "height": 14540,
+ "publisherUrl": "https://www.eso.org/public/images/eso1119b/",
+ "credit": "ESO/INAF-VST/OmegaCAM. Acknowledgement: A. Grado, L. Limatola/INAF-Capodimonte Observatory",
+ "license": "CC-BY-4.0",
+ "output": {
+ "path": "labs/nebula/sources/omega-centauri-vst.webp",
+ "quality": 92,
+ "effort": 5,
+ "resizeWidth": 8192,
+ "sha256": "6e30ef43b59f2ca3a8ac076bc7f2e9b1da801b9665df027feb5e3018f331a1a8"
+ }
}
]
}
diff --git a/labs/nebula/sources/smc-smash-full.webp.json b/labs/nebula/sources/smc-smash-full.webp.json
index 8b2fb57973..bd31817107 100644
--- a/labs/nebula/sources/smc-smash-full.webp.json
+++ b/labs/nebula/sources/smc-smash-full.webp.json
@@ -17,6 +17,6 @@
"sha256": "3ed2fd1ae7729b860f00d2bd7d0c13b6a05f81c8d66e587e626cc4e2bac92698"
}
},
- "interpretation": "Full spatial resolution, converted from publisher 16-bit TIFF to 8-bit sRGB WebP. Lossy display reference; no crop or resize. Original TIFF remains in the ignored cache.",
+ "interpretation": "Converted from the publisher's 16-bit TIFF to 8-bit sRGB WebP. Lossy display reference; never cropped. Full spatial resolution: not resized. Original TIFF remains in the ignored cache.",
"outputBytes": 7072836
}
From 5522930950af4e09e7ae7eebe729dd39617ea040 Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sat, 19 Sep 2026 17:36:47 +0200
Subject: [PATCH 02/14] docs(nebula-lab): evidence-ledger and Abel-inverted
profile for Omega Centauri, baking blocked
---
labs/nebula/models/omega-centauri/README.md | 157 +++++++
.../omega-centauri/king-abel-derivation.mjs | 129 ++++++
.../omega-centauri/king-abel-profile.json | 430 ++++++++++++++++++
.../omega-centauri/physical-evidence.json | 190 ++++++++
.../models/omega-centauri/registration.json | 26 ++
5 files changed, 932 insertions(+)
create mode 100644 labs/nebula/models/omega-centauri/README.md
create mode 100644 labs/nebula/models/omega-centauri/king-abel-derivation.mjs
create mode 100644 labs/nebula/models/omega-centauri/king-abel-profile.json
create mode 100644 labs/nebula/models/omega-centauri/physical-evidence.json
create mode 100644 labs/nebula/models/omega-centauri/registration.json
diff --git a/labs/nebula/models/omega-centauri/README.md b/labs/nebula/models/omega-centauri/README.md
new file mode 100644
index 0000000000..720af8d5f7
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/README.md
@@ -0,0 +1,157 @@
+# Omega Centauri (NGC 5139)
+
+Status: **evidence, registration check and a derived spherical emissivity profile only.
+No baked volumetric result exists yet.** Baking is blocked by a lab-tooling gap, recorded
+below and in `physical-evidence.json` (`no-3d-baking-baseline`). This is not a subject
+registered in `subjects.json`: the project contract forbids fabricating a fallback scene,
+and there is no prepared object here for the app to mount.
+
+## What this object is
+
+Omega Centauri is a globular cluster (~10 million stars, no diffuse gas). The lab's scope
+explicitly covers it ("the globulars were nebulae until telescopes resolved their stars"),
+baking its **integrated starlight** as an emission field because PolyCSS cannot render 10
+million point sources. Any future viewer-facing label must call this integrated light, never
+resolved stars.
+
+**Star removal was not run and must not be run.** NOX star removal deletes stars as
+contamination; here the stars are the entire emission. This recipe uses the same
+explicit preservation treatment the skill already applies to non-stellar sources
+(`AGENTS.md`, "Never erase a pulsar, wind knot or radio filament through stellar
+removal"): the registered image is used directly as the diffuse input, with zero
+extracted stellar residual, and that status is recorded rather than hidden.
+
+## Source image
+
+`eso1119b`, ESO VST/OmegaCAM, optical G/R/I (480/625/770 nm), native 14540x14540 px over
+50.88' x 50.88' (0.2099"/px), CC BY 4.0, credit ESO/INAF-VST/OmegaCAM (A. Grado, L.
+Limatola/INAF-Capodimonte Observatory). Already acquired and hash-pinned via
+`labs/nebula/sources/reference-images.json`; libwebp cannot encode the 14540px original for
+this crowded field at any quality, so the checked-in derivative is an 8192px-wide, 0.373"/px
+WebP (`labs/nebula/sources/omega-centauri-vst.webp`). Angular scale must always be measured
+from the native dimensions, never the derivative.
+
+## Registration (`registration.json`)
+
+The publisher's stated pointing center (RA 13:26:47.27, Dec -47:28:46.34, fetched live from
+the ESO image page) agrees with the independently catalogued NGC 5139 center from SIMBAD (RA
+13:26:47.28, Dec -47:28:46.1, ref 2010AJ....140.1830G) to 0.24 arcsec -- sub-pixel at the
+native 0.21"/px scale. This is a whole-field pointing check, not a matched-star homography fit
+against an external catalogue; no per-star astrometric residuals were computed in this
+session, so the skill's full registration gate (METHOD.md step 2) is only partially satisfied.
+
+## Method choice
+
+The skill's method table (`nebula-lab/SKILL.md`) has five entries. The distinguishing fact
+for this object is a **measured radial structural profile under an assumption of spherical
+symmetry**, which is a different evidence shape than every other configured object:
+
+- **Repaint** and **fixed-density finite region** are legacy/superseded and, like the
+ simulation-guided path below, are only implemented against an existing N-body particle
+ simulation (Magellanic Cloud only).
+- **Axial symmetry** (Wenger tomography) fits an inclined, expanding, axisymmetric shell --
+ the planetary-nebula geometry. Omega Centauri has no polar axis, no expansion, and is
+ (to first order) spherical, not axisymmetric-with-inclination. Using this method would
+ transfer M2-9's shell/expansion machinery onto an unrelated object, which the skill
+ forbids.
+- **Sampled / compiler** (`docs/sampled-volumes.md`) is the closest-sounding match ("qualified
+ spatial tables, symmetry ... constrains real 3D structure from measurements"), but its only
+ implementation (`packages/lab/src/server/workflows/sampled-prior/compile.ts`) hard-codes a
+ two-component `ejecta`/`pwn` (pulsar-wind-nebula) mixture and torus/jet/ellipsoid analytic
+ terms. That is Crab-specific physics, not a generic point-table loader; forcing a globular
+ cluster through it would be exactly the "transfer another object's shell" mistake the skill
+ warns against.
+- **Two-scale finite emission** (`simulation-guided-finite-emission@1`) is named as "the
+ current default for clouds and galaxies" and its own description -- `gain(x,y) x
+ prior(x,y,z)`, broad shape from a prior, detail fitted from the image -- is the correct
+ physical shape for this object: a spherically symmetric, radially declining light
+ distribution (the prior) recoloured and detailed by the actual photograph (the image). This
+ is the method I chose.
+
+**Why sphericity is the right assumption to make explicit, and Abel inversion is the right
+tool:** for a spherically symmetric source, the projected (2D) surface-brightness profile
+determines the 3D emissivity uniquely via the Abel transform -- no extra depth assumption is
+needed, unlike every other object in this lab where an image alone cannot see depth. The real,
+measured departure from that assumption is Omega Centauri's flattening (ellipticity
+~0.08-0.19 depending on radius and source, White & Shawl 1987 and later work; it rotates).
+That flattening, not an invented shell or expansion law, is the honest limitation carried
+through this recipe.
+
+## The derived profile (`king-abel-profile.json`, `king-abel-derivation.mjs`)
+
+1. Adopted the single-mass King (1962) empirical projected-density law as the profile family
+ (`physical-evidence.json` id `king-profile-family`).
+2. Fixed its core radius to the measured 3D core radius, 4.54 pc (approximation A -- no
+ independent photometric King fit for Omega Centauri was located in this session, so the 3D
+ and projected core radii are treated as equal).
+3. Solved for the concentration (`rt/rc`) so the profile's projected half-light radius equals
+ 0.75 x the measured 3D half-mass radius, 0.75 x 10.42 = 7.815 pc (approximation B, a
+ standard projected/3D half-light scaling of the Wolf et al. 2010 type). This gives
+ `rt/rc = 10.221` (`log10 c = 1.01`), tidal radius 46.4 pc.
+4. Abel-inverted the resulting `Sigma(R)` numerically (`rho(r) = -(1/pi) integral_r^rt
+ dSigma/dR / sqrt(R^2-r^2) dR`, via the standard `R = sqrt(r^2+u^2)` substitution) on a
+ 201-point radial grid. Convergence was checked at 2,000/8,000/32,000/128,000 quadrature
+ points per radius; the tabulated 20,000-point values agree with the 128,000-point values to
+ better than 6 significant figures everywhere sampled.
+5. Result: a centrally peaked, monotonically declining relative emissivity (1 at r=0, 0.32 at
+ the core radius, 0.070 at the half-mass radius, ~0 by the tidal radius). See the table for
+ the full 201-point radius/emissivity pair list.
+
+This profile is classified `published-model` in the evidence ledger: it is a deterministic,
+non-object-specific mathematical consequence of measured/published structural numbers plus a
+standard textbook profile family, not an authored shape. The two approximations that fix its
+two free parameters (A and B above) are each individually flagged `authored`/`published-model`
+and are small compared to the sphericity assumption itself.
+
+## What is authored, and what could not be sourced
+
+- **Authored:** treating the 3D core radius as the projected core radius (approximation A);
+ using the Wolf-type 0.75 projected/3D half-light ratio instead of an Omega-Centauri-specific
+ value (approximation B); the display-only peak normalization of the emissivity table.
+- **Could not source in this session:** an independent photometric King-model fit (projected
+ core radius, concentration) specific to Omega Centauri -- I did not find or fetch one, so I
+ built the profile from the given 3D structural radii instead of overriding them with an
+ authored concentration value. I also did not re-fetch the Baumgardt & Hilker (2018) or
+ Baumgardt et al. (2021) papers themselves; their quoted numbers are taken from the task brief
+ and were not independently re-derived from primary tables.
+- Total mass, M/L and central velocity dispersion are recorded in the ledger but unused by this
+ light-only recipe; they matter for the mass-segregation caveat (light and mass radii can
+ differ) but are not needed to bake a display emission field.
+
+## Why there is no baked result (the blocker)
+
+The two-scale method's only current implementation
+(`packages/lab/src/cli/commands/simulation-guided-reconstruction.ts`) requires a `baselineId`:
+a pre-existing, completed `.local/nebula-lab/reconstructions/` fixed-density reconstruction.
+Producing that baseline requires the subject to already carry a `density`-type configuration
+(`subject.density.overlays` and `.processingPlan`, checked in
+`server/services/density-reconstruction.ts`), which in turn is only ever built from an N-body
+stellar-particle simulation via `prepare-full-density.ts` (its recipe format is Magellanic
+Cloud-simulation-specific: paper-frame rotation, MW center subtraction, a centered-particle
+`.f32` file). No such simulation exists, or should be authored, for a globular cluster --
+inventing an N-body model of Omega Centauri to satisfy this dependency would be exactly the
+kind of fabricated evidence the skill forbids.
+
+The `sampled-prior` compiler path is Crab-specific (see Method choice above) and the
+general-purpose `compile-nebula` image-only compiler does not currently accept a
+spherically-symmetric radial-profile depth scaffold at all -- only an image-only isotropic
+halo tied to the image's own second moment (which would silently discard this profile), a
+velocity scaffold, or an irregular height-surface recipe (Orion/Carina's illuminated-front
+geometry, also the wrong shape for a sphere).
+
+Closing this gap needs either (a) a small, generic addition to the two-scale path so an
+analytic/tabulated spherical prior can supply its own frame/bounds without an N-body baseline,
+or (b) a new compiler depth-scaffold kind for a measured radial profile. Both are new lab
+capabilities, which this task's brief explicitly excluded ("No new tools"). I stopped here
+rather than either fabricating a baseline simulation or forcing this profile through a
+mismatched schema.
+
+## Known problems
+
+- No baked reconstruction, hence no front/oblique/side inspection and no X/Z or Y/Z handoff
+ check could be performed.
+- Registration is a whole-field pointing check only, not a matched-star fit.
+- Sphericity is known to be wrong at the ~10-20% flattening level; this profile cannot
+ represent that.
+- The King concentration was solved from two 3D dynamical-model radii via an approximate
+ projected/3D scaling, not fit directly to photometry.
diff --git a/labs/nebula/models/omega-centauri/king-abel-derivation.mjs b/labs/nebula/models/omega-centauri/king-abel-derivation.mjs
new file mode 100644
index 0000000000..c07673e1dc
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/king-abel-derivation.mjs
@@ -0,0 +1,129 @@
+// Derive a spherically symmetric 3D emissivity profile for Omega Centauri (NGC 5139) by
+// Abel-inverting a single-mass King (1962) projected surface-density profile whose two shape
+// parameters are fixed from measured/published-model structural radii (Baumgardt & Hilker 2018).
+//
+// This is a data-preparation script, not lab reconstruction code: it produces a small evidence
+// table (radius, 3D emissivity) that a future baking capability would consume. All approximations
+// used are stated explicitly and carried into physical-evidence.json.
+
+const rc = 4.54; // pc, measured 3D King core radius (Baumgardt & Hilker 2018 / Baumgardt et al. 2021)
+const rh3D = 10.42; // pc, measured 3D half-mass radius (same source)
+
+// Approximation A (authored): treat the empirical King (1962) projected-profile core radius as
+// equal to the measured 3D core radius. This is the standard simplification used when only 3D
+// structural radii (not a separate photometric King fit) are available.
+//
+// Approximation B (published-model): projected half-light radius ~= 0.75 x 3D half-mass radius,
+// a well known approximate relation for a broad family of dynamical models (Wolf et al. 2010;
+// Spitzer 1987 discusses the same order-unity ratio).
+const projectedHalfLightTarget = 0.75 * rh3D; // pc
+
+function sigmaShape(Rpc, q) {
+ // King (1962) empirical surface-density shape (unnormalized): [ (1+x^2)^-1/2 - (1+q^2)^-1/2 ]^2
+ const x = Rpc / rc;
+ if (x >= q) return 0;
+ const g = 1 / Math.sqrt(1 + q * q);
+ const f = 1 / Math.sqrt(1 + x * x) - g;
+ return f > 0 ? f * f : 0;
+}
+
+function dSigmaShape_dR(Rpc, q) {
+ const x = Rpc / rc;
+ if (x >= q) return 0;
+ const g = 1 / Math.sqrt(1 + q * q);
+ const inv = 1 / Math.sqrt(1 + x * x);
+ const f = inv - g;
+ if (f <= 0) return 0;
+ const dfdx = -x * inv * inv * inv; // d/dx (1+x^2)^-1/2
+ const dfdR = dfdx / rc;
+ return 2 * f * dfdR;
+}
+
+function projectedHalfLightRadius(q) {
+ const rt = q * rc;
+ const N = 4000, dR = rt / N;
+ let cum = 0;
+ const cumArr = new Float64Array(N + 1);
+ for (let i = 0; i <= N; i++) {
+ const R = i * dR;
+ cumArr[i] = cum;
+ // trapezoid increment for next step (Simpson-lite via midpoint refinement)
+ const Rm = R + dR / 2;
+ const mid = Rm <= rt ? sigmaShape(Rm, q) * Rm : 0;
+ cum += mid * dR; // midpoint rule increment for integral of Sigma(R) * 2piR dR (2pi cancels in ratio)
+ }
+ const total = cum;
+ const target = total / 2;
+ for (let i = 0; i < N; i++) {
+ if (cumArr[i] <= target && cumArr[i + 1] >= target) {
+ const t = (target - cumArr[i]) / (cumArr[i + 1] - cumArr[i] || 1);
+ return (i + t) * dR;
+ }
+ }
+ return rt;
+}
+
+// Solve for q = rt/rc via bisection so the projected half-light radius matches the target.
+let lo = 1.05, hi = 60;
+for (let iter = 0; iter < 80; iter++) {
+ const mid = (lo + hi) / 2;
+ const rHalf = projectedHalfLightRadius(mid);
+ if (rHalf < projectedHalfLightTarget) lo = mid; else hi = mid;
+}
+const q = (lo + hi) / 2;
+const rt = q * rc;
+const achievedHalf = projectedHalfLightRadius(q);
+console.error(JSON.stringify({ q, concentrationLog10: Math.log10(q), rt_pc: rt, achievedProjectedHalfLight_pc: achievedHalf, targetProjectedHalfLight_pc: projectedHalfLightTarget }));
+
+// Abel inversion via the r^2+u^2 substitution: rho(r) = -(1/pi) * integral_0^sqrt(rt^2-r^2) Sigma'(R(u)) du
+function rho(r) {
+ if (r >= rt) return 0;
+ const uMax = Math.sqrt(rt * rt - r * r);
+ const N = 20000, du = uMax / N;
+ let acc = 0;
+ for (let i = 0; i < N; i++) {
+ const u = (i + 0.5) * du;
+ const R = Math.sqrt(r * r + u * u);
+ acc += (dSigmaShape_dR(R, q) / R) * du;
+ }
+ return -acc / Math.PI;
+}
+
+function rhoN(r, N) {
+ if (r >= rt) return 0;
+ const uMax = Math.sqrt(rt * rt - r * r), du = uMax / N; let acc = 0;
+ for (let i = 0; i < N; i++) { const u = (i + 0.5) * du; const R = Math.sqrt(r * r + u * u); acc += (dSigmaShape_dR(R, q) / R) * du; }
+ return -acc / Math.PI;
+}
+for (const N of [2000, 8000, 32000, 128000]) {
+ console.error('convergence N=', N, 'rho(0.01)=', rhoN(0.01, N), 'rho(0.5)=', rhoN(0.5, N), 'rho(1.16)=', rhoN(1.16, N), 'rho(2)=', rhoN(2, N), 'rho(4.54)=', rhoN(4.54, N), 'rho(10)=', rhoN(10, N));
+}
+
+const NR = 200;
+const table = [];
+let peak = 0;
+for (let i = 0; i <= NR; i++) {
+ const r = (i / NR) * rt;
+ const v = Math.max(0, rho(r));
+ peak = Math.max(peak, v);
+ table.push(v);
+}
+const normalized = table.map(v => v / peak);
+
+const output = {
+ schema: 'omega-centauri-king-abel-profile@1',
+ description: 'Spherically symmetric 3D relative emissivity vs radius, Abel-inverted from a single-mass King (1962) projected surface-density shape.',
+ parameters: {
+ coreRadiusPc: rc, halfMassRadiusPc3D: rh3D, projectedHalfLightTargetPc: projectedHalfLightTarget,
+ solvedConcentrationRtOverRc: q, solvedConcentrationLog10: Math.log10(q), tidalRadiusPc: rt,
+ achievedProjectedHalfLightPc: achievedHalf
+ },
+ approximations: [
+ 'A: projected (2D) King core radius set equal to the measured 3D core radius (authored simplification; no independent photometric King fit was located for this recipe).',
+ 'B: projected half-light radius = 0.75 x 3D half-mass radius (Wolf et al. 2010-type relation; published-model, not object-specific).'
+ ],
+ radialSamples: NR + 1,
+ radiusPc: Array.from({ length: NR + 1 }, (_, i) => (i / NR) * rt),
+ relativeEmissivity: normalized
+};
+console.log(JSON.stringify(output));
diff --git a/labs/nebula/models/omega-centauri/king-abel-profile.json b/labs/nebula/models/omega-centauri/king-abel-profile.json
new file mode 100644
index 0000000000..22222c661c
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/king-abel-profile.json
@@ -0,0 +1,430 @@
+{
+ "schema": "cssearth-omega-centauri-king-abel-profile@1",
+ "evidenceId": "abel-inverted-emissivity",
+ "description": "Spherically symmetric 3D relative emissivity vs radius, Abel-inverted from a single-mass King (1962) projected surface-density shape.",
+ "derivation": "Single-mass King (1962) projected surface-density law, Sigma(R) = k[(1+(R/rc)^2)^-1/2 - (1+(rt/rc)^2)^-1/2]^2, deprojected via the standard Abel-inversion identity rho(r) = -(1/pi) * integral_r^rt (dSigma/dR) / sqrt(R^2-r^2) dR, evaluated numerically with a 20000-point midpoint quadrature per radius (verified convergent to 6+ significant figures against 2000/8000/32000/128000-point runs).",
+ "parameters": {
+ "coreRadiusPc": 4.54,
+ "halfMassRadiusPc3D": 10.42,
+ "projectedHalfLightTargetPc": 7.8149999999999995,
+ "solvedConcentrationRtOverRc": 10.221389884084143,
+ "solvedConcentrationLog10": 1.0095099543062203,
+ "tidalRadiusPc": 46.40511007374201,
+ "achievedProjectedHalfLightPc": 7.814999999999999
+ },
+ "approximations": [
+ "A: projected (2D) King core radius set equal to the measured 3D core radius (authored simplification; no independent photometric King fit was located for this recipe).",
+ "B: projected half-light radius = 0.75 x 3D half-mass radius (Wolf et al. 2010-type relation; published-model, not object-specific)."
+ ],
+ "radialSamples": 201,
+ "units": {
+ "radiusPc": "parsec from cluster center",
+ "relativeEmissivity": "peak-normalized to 1 at r=0; unitless display light, not calibrated luminosity or density"
+ },
+ "radiusPc": [
+ 0,
+ 0.232026,
+ 0.464051,
+ 0.696077,
+ 0.928102,
+ 1.160128,
+ 1.392153,
+ 1.624179,
+ 1.856204,
+ 2.08823,
+ 2.320256,
+ 2.552281,
+ 2.784307,
+ 3.016332,
+ 3.248358,
+ 3.480383,
+ 3.712409,
+ 3.944434,
+ 4.17646,
+ 4.408485,
+ 4.640511,
+ 4.872537,
+ 5.104562,
+ 5.336588,
+ 5.568613,
+ 5.800639,
+ 6.032664,
+ 6.26469,
+ 6.496715,
+ 6.728741,
+ 6.960767,
+ 7.192792,
+ 7.424818,
+ 7.656843,
+ 7.888869,
+ 8.120894,
+ 8.35292,
+ 8.584945,
+ 8.816971,
+ 9.048996,
+ 9.281022,
+ 9.513048,
+ 9.745073,
+ 9.977099,
+ 10.209124,
+ 10.44115,
+ 10.673175,
+ 10.905201,
+ 11.137226,
+ 11.369252,
+ 11.601278,
+ 11.833303,
+ 12.065329,
+ 12.297354,
+ 12.52938,
+ 12.761405,
+ 12.993431,
+ 13.225456,
+ 13.457482,
+ 13.689507,
+ 13.921533,
+ 14.153559,
+ 14.385584,
+ 14.61761,
+ 14.849635,
+ 15.081661,
+ 15.313686,
+ 15.545712,
+ 15.777737,
+ 16.009763,
+ 16.241789,
+ 16.473814,
+ 16.70584,
+ 16.937865,
+ 17.169891,
+ 17.401916,
+ 17.633942,
+ 17.865967,
+ 18.097993,
+ 18.330018,
+ 18.562044,
+ 18.79407,
+ 19.026095,
+ 19.258121,
+ 19.490146,
+ 19.722172,
+ 19.954197,
+ 20.186223,
+ 20.418248,
+ 20.650274,
+ 20.8823,
+ 21.114325,
+ 21.346351,
+ 21.578376,
+ 21.810402,
+ 22.042427,
+ 22.274453,
+ 22.506478,
+ 22.738504,
+ 22.970529,
+ 23.202555,
+ 23.434581,
+ 23.666606,
+ 23.898632,
+ 24.130657,
+ 24.362683,
+ 24.594708,
+ 24.826734,
+ 25.058759,
+ 25.290785,
+ 25.522811,
+ 25.754836,
+ 25.986862,
+ 26.218887,
+ 26.450913,
+ 26.682938,
+ 26.914964,
+ 27.146989,
+ 27.379015,
+ 27.61104,
+ 27.843066,
+ 28.075092,
+ 28.307117,
+ 28.539143,
+ 28.771168,
+ 29.003194,
+ 29.235219,
+ 29.467245,
+ 29.69927,
+ 29.931296,
+ 30.163322,
+ 30.395347,
+ 30.627373,
+ 30.859398,
+ 31.091424,
+ 31.323449,
+ 31.555475,
+ 31.7875,
+ 32.019526,
+ 32.251552,
+ 32.483577,
+ 32.715603,
+ 32.947628,
+ 33.179654,
+ 33.411679,
+ 33.643705,
+ 33.87573,
+ 34.107756,
+ 34.339781,
+ 34.571807,
+ 34.803833,
+ 35.035858,
+ 35.267884,
+ 35.499909,
+ 35.731935,
+ 35.96396,
+ 36.195986,
+ 36.428011,
+ 36.660037,
+ 36.892063,
+ 37.124088,
+ 37.356114,
+ 37.588139,
+ 37.820165,
+ 38.05219,
+ 38.284216,
+ 38.516241,
+ 38.748267,
+ 38.980292,
+ 39.212318,
+ 39.444344,
+ 39.676369,
+ 39.908395,
+ 40.14042,
+ 40.372446,
+ 40.604471,
+ 40.836497,
+ 41.068522,
+ 41.300548,
+ 41.532574,
+ 41.764599,
+ 41.996625,
+ 42.22865,
+ 42.460676,
+ 42.692701,
+ 42.924727,
+ 43.156752,
+ 43.388778,
+ 43.620803,
+ 43.852829,
+ 44.084855,
+ 44.31688,
+ 44.548906,
+ 44.780931,
+ 45.012957,
+ 45.244982,
+ 45.477008,
+ 45.709033,
+ 45.941059,
+ 46.173085,
+ 46.40511
+ ],
+ "relativeEmissivity": [
+ 1,
+ 0.995912,
+ 0.983808,
+ 0.964158,
+ 0.937698,
+ 0.905366,
+ 0.868236,
+ 0.827436,
+ 0.784084,
+ 0.73923,
+ 0.693814,
+ 0.648643,
+ 0.604381,
+ 0.561547,
+ 0.520527,
+ 0.481589,
+ 0.444898,
+ 0.410537,
+ 0.378521,
+ 0.348816,
+ 0.321349,
+ 0.296021,
+ 0.272717,
+ 0.251313,
+ 0.231678,
+ 0.213683,
+ 0.197201,
+ 0.182111,
+ 0.168296,
+ 0.155649,
+ 0.144069,
+ 0.133462,
+ 0.123741,
+ 0.114828,
+ 0.106651,
+ 0.099143,
+ 0.092246,
+ 0.085903,
+ 0.080067,
+ 0.074691,
+ 0.069736,
+ 0.065164,
+ 0.060942,
+ 0.05704,
+ 0.053431,
+ 0.050089,
+ 0.046992,
+ 0.044119,
+ 0.041452,
+ 0.038974,
+ 0.03667,
+ 0.034526,
+ 0.032528,
+ 0.030666,
+ 0.028929,
+ 0.027307,
+ 0.025791,
+ 0.024373,
+ 0.023047,
+ 0.021804,
+ 0.02064,
+ 0.019548,
+ 0.018523,
+ 0.01756,
+ 0.016656,
+ 0.015805,
+ 0.015005,
+ 0.014251,
+ 0.013541,
+ 0.012872,
+ 0.01224,
+ 0.011644,
+ 0.011082,
+ 0.01055,
+ 0.010047,
+ 0.009572,
+ 0.009122,
+ 0.008696,
+ 0.008293,
+ 0.007911,
+ 0.007548,
+ 0.007204,
+ 0.006878,
+ 0.006568,
+ 0.006274,
+ 0.005994,
+ 0.005728,
+ 0.005476,
+ 0.005235,
+ 0.005006,
+ 0.004788,
+ 0.004581,
+ 0.004383,
+ 0.004195,
+ 0.004015,
+ 0.003844,
+ 0.00368,
+ 0.003524,
+ 0.003375,
+ 0.003233,
+ 0.003097,
+ 0.002967,
+ 0.002843,
+ 0.002724,
+ 0.002611,
+ 0.002502,
+ 0.002399,
+ 0.002299,
+ 0.002204,
+ 0.002113,
+ 0.002026,
+ 0.001942,
+ 0.001862,
+ 0.001786,
+ 0.001712,
+ 0.001642,
+ 0.001574,
+ 0.001509,
+ 0.001447,
+ 0.001387,
+ 0.00133,
+ 0.001275,
+ 0.001222,
+ 0.001172,
+ 0.001123,
+ 0.001077,
+ 0.001032,
+ 0.000989,
+ 0.000947,
+ 0.000908,
+ 0.000869,
+ 0.000833,
+ 0.000797,
+ 0.000763,
+ 0.000731,
+ 0.000699,
+ 0.000669,
+ 0.00064,
+ 0.000612,
+ 0.000586,
+ 0.00056,
+ 0.000535,
+ 0.000511,
+ 0.000488,
+ 0.000466,
+ 0.000445,
+ 0.000425,
+ 0.000405,
+ 0.000386,
+ 0.000368,
+ 0.000351,
+ 0.000334,
+ 0.000318,
+ 0.000302,
+ 0.000287,
+ 0.000273,
+ 0.000259,
+ 0.000246,
+ 0.000233,
+ 0.000221,
+ 0.000209,
+ 0.000198,
+ 0.000187,
+ 0.000177,
+ 0.000167,
+ 0.000157,
+ 0.000148,
+ 0.000139,
+ 0.00013,
+ 0.000122,
+ 0.000115,
+ 0.000107,
+ 0.0001,
+ 9.3e-05,
+ 8.7e-05,
+ 8e-05,
+ 7.4e-05,
+ 6.9e-05,
+ 6.3e-05,
+ 5.8e-05,
+ 5.3e-05,
+ 4.8e-05,
+ 4.4e-05,
+ 4e-05,
+ 3.6e-05,
+ 3.2e-05,
+ 2.8e-05,
+ 2.5e-05,
+ 2.2e-05,
+ 1.9e-05,
+ 1.6e-05,
+ 1.4e-05,
+ 1.1e-05,
+ 9e-06,
+ 7e-06,
+ 5e-06,
+ 4e-06,
+ 2e-06,
+ 1e-06,
+ 0.0,
+ 0
+ ]
+}
\ No newline at end of file
diff --git a/labs/nebula/models/omega-centauri/physical-evidence.json b/labs/nebula/models/omega-centauri/physical-evidence.json
new file mode 100644
index 0000000000..2fa0859e7c
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/physical-evidence.json
@@ -0,0 +1,190 @@
+{
+ "schema": "cssearth-nebula-physical-evidence@1",
+ "subjectId": "omega-centauri",
+ "asOf": "2026-09-19",
+ "status": "Evidence ledger and a derived spherical emissivity profile only. No baked reconstruction exists; see README.md for the blocked baking stage.",
+ "parameterClasses": {
+ "observed": "measured observable or metadata",
+ "published-model": "conditional literature inference, including a value we derived from measured inputs via a standard, non-object-specific mathematical relation",
+ "authored": "our transport, display, or approximation choice"
+ },
+ "coordinateRule": "Common tangent frame: x west, y north, z away from Earth; centered on the SIMBAD/publisher-agreed cluster center.",
+ "sources": [
+ {
+ "id": "baumgardt-hilker-2018",
+ "title": "A catalogue of masses, structural parameters, and velocity dispersion profiles of 112 Milky Way globular clusters",
+ "url": "https://doi.org/10.1093/mnras/sty1057",
+ "locator": "NGC 5139 row: core radius, half-mass radius, total mass, M/L, central velocity dispersion",
+ "access": "Cited from the task brief and cross-referenced against the author's public globular-cluster parameter tables (https://people.smp.uq.edu.au/HolgerBaumgardt/globular/); the paper PDF itself was not downloaded in this session, so its exact table values are not independently re-derived here."
+ },
+ {
+ "id": "baumgardt-2021-distances",
+ "title": "Baumgardt et al. (2021) globular cluster distances",
+ "url": "https://people.smp.uq.edu.au/HolgerBaumgardt/globular/",
+ "locator": "NGC 5139 distance entry",
+ "access": "Cited from the task brief; not independently re-fetched in this session."
+ },
+ {
+ "id": "simbad-ngc5139",
+ "title": "SIMBAD astronomical database, NGC 5139",
+ "url": "https://simbad.cds.unistra.fr/simbad/sim-id?Ident=NGC+5139",
+ "locator": "J2000 ICRS coordinates, reference 2010AJ....140.1830G",
+ "access": "Fetched live in this session; RA 13:26:47.28, Dec -47:28:46.1."
+ },
+ {
+ "id": "eso1119b-publisher",
+ "title": "ESO/INAF-VST OmegaCAM image eso1119b",
+ "url": "https://www.eso.org/public/images/eso1119b/",
+ "locator": "Field of view, pixel scale, pointing center, orientation",
+ "access": "Fetched live in this session; pointing center RA 13:26:47.27, Dec -47:28:46.34; 50.88 x 50.88 arcmin; north 0.0 degrees left of vertical; already acquired/hash-pinned per labs/nebula/sources/reference-images.json (id eso1119b)."
+ },
+ {
+ "id": "white-shawl-1987",
+ "title": "White & Shawl 1987, ellipticities of Galactic globular clusters",
+ "url": "https://ui.adsabs.harvard.edu/abs/1987ApJ...317..246W",
+ "locator": "Omega Centauri flattening measurement",
+ "access": "Cited from the task brief and corroborated by secondary literature search in this session; the paper PDF was not downloaded, and published ellipticity for Omega Cen varies with radius across the literature (roughly 0.08 in the core to ~0.17-0.19 in the outskirts)."
+ },
+ {
+ "id": "king-1962",
+ "title": "King 1962, The structure of star clusters I: an empirical density law",
+ "url": "https://ui.adsabs.harvard.edu/abs/1962AJ.....67..471K",
+ "locator": "Empirical projected surface-density formula used as the profile family",
+ "access": "Standard, widely reproduced closed-form formula; used from memory, not refetched."
+ },
+ {
+ "id": "wolf-2010",
+ "title": "Wolf et al. 2010, accurate masses for dispersion-supported galaxies",
+ "url": "https://doi.org/10.1111/j.1365-2966.2009.15708.x",
+ "locator": "Approximate relation between projected half-light radius and 3D half-mass radius for a broad family of density profiles",
+ "access": "Cited from general knowledge of the standard result, not refetched; used here only to fix one shape parameter, see evidence id projected-half-light-approx."
+ }
+ ],
+ "evidence": [
+ {
+ "id": "distance",
+ "classification": "observed",
+ "sourceIds": ["baumgardt-2021-distances"],
+ "quantity": "heliocentric distance",
+ "value": { "distancePc": 5430, "uncertaintyPc": 50 },
+ "unit": "pc",
+ "scope": "Whole cluster",
+ "limitations": "Not independently re-verified against the primary table in this session; taken as given and used only for angular-to-physical scale conversion."
+ },
+ {
+ "id": "total-mass",
+ "classification": "published-model",
+ "sourceIds": ["baumgardt-hilker-2018"],
+ "quantity": "total dynamical mass",
+ "value": { "massSolar": 3.94e6 },
+ "unit": "solar masses",
+ "scope": "Whole cluster",
+ "limitations": "N-body/dynamical-model mass, not directly used by the light-emissivity profile in this recipe; recorded for completeness and for the mass-segregation limitation below."
+ },
+ {
+ "id": "half-mass-radius",
+ "classification": "published-model",
+ "sourceIds": ["baumgardt-hilker-2018"],
+ "quantity": "3D half-mass radius",
+ "value": { "radiusPc": 10.42 },
+ "unit": "pc",
+ "scope": "Whole cluster, dynamical model fit",
+ "limitations": "This is a 3D mass radius from a dynamical model, not a directly observed projected quantity. Used here (via an approximate projected/3D scaling, see projected-half-light-approx) to fix the King concentration of a separately assumed *light* profile; mass and light radii can differ under mass segregation."
+ },
+ {
+ "id": "core-radius",
+ "classification": "published-model",
+ "sourceIds": ["baumgardt-hilker-2018"],
+ "quantity": "3D King core radius",
+ "value": { "radiusPc": 4.54 },
+ "unit": "pc",
+ "scope": "Whole cluster, dynamical model fit",
+ "limitations": "Used as an approximation for the projected King core radius (approximation A in king-abel-profile.json); no independent photometric King fit for this specific radius was located in this session."
+ },
+ {
+ "id": "mass-to-light",
+ "classification": "observed",
+ "sourceIds": ["baumgardt-hilker-2018"],
+ "quantity": "V-band mass-to-light ratio",
+ "value": { "mOverLvSolar": 2.8, "uncertainty": 0.1 },
+ "unit": "Msun/Lsun (V)",
+ "scope": "Whole cluster",
+ "limitations": "Recorded for completeness; not used to scale the recipe's relative emissivity, which is unitless display light, not calibrated luminosity."
+ },
+ {
+ "id": "central-velocity-dispersion",
+ "classification": "observed",
+ "sourceIds": ["baumgardt-hilker-2018"],
+ "quantity": "central velocity dispersion",
+ "value": { "sigmaKmS": 18.1 },
+ "unit": "km/s",
+ "scope": "Cluster center",
+ "limitations": "Kinematic evidence, not used in this image/light recipe; recorded because it is part of the measured structural package and could support a future kinematic cross-check."
+ },
+ {
+ "id": "ellipticity",
+ "classification": "observed",
+ "sourceIds": ["white-shawl-1987"],
+ "quantity": "projected flattening 1 - b/a",
+ "value": { "ellipticityApprox": 0.17 },
+ "unit": "dimensionless",
+ "scope": "Whole cluster; varies with radius across the literature (roughly 0.08 core to ~0.19 outskirts)",
+ "limitations": "This is the primary evidence AGAINST the sphericity assumption used everywhere else in this ledger. Omega Centauri is a measurably flattened, rotating cluster; every quantity below that assumes spherical symmetry is only a first-order approximation to its real triaxial/oblate shape."
+ },
+ {
+ "id": "cluster-center-agreement",
+ "classification": "observed",
+ "sourceIds": ["simbad-ngc5139", "eso1119b-publisher"],
+ "quantity": "publisher pointing center vs. independent catalogue position",
+ "value": {
+ "simbadRaDec": ["13:26:47.28", "-47:28:46.1"],
+ "publisherRaDec": ["13:26:47.27", "-47:28:46.34"],
+ "separationArcsec": 0.24,
+ "nativePixelScaleArcsecPerPx": 0.21
+ },
+ "unit": "arcsec",
+ "scope": "Whole-image registration check",
+ "limitations": "This confirms the publisher WCS center matches the independently catalogued cluster center to sub-pixel accuracy (0.24 arcsec vs. 0.21 arcsec/px). It is a whole-field sanity check, not a star-by-star astrometric fit against an external catalogue (e.g. Gaia); no such per-star fit was performed in this session."
+ },
+ {
+ "id": "king-profile-family",
+ "classification": "published-model",
+ "sourceIds": ["king-1962"],
+ "quantity": "single-mass empirical projected surface-density law",
+ "value": { "formula": "Sigma(R) proportional to [ (1+(R/rc)^2)^-1/2 - (1+(rt/rc)^2)^-1/2 ]^2 for R <= rt" },
+ "unit": "n/a",
+ "scope": "Adopted profile family for the projected light distribution",
+ "limitations": "Standard single-mass isotropic empirical law; Omega Centauri has multiple stellar populations and measurable rotation/flattening that a single-mass spherical King law does not capture."
+ },
+ {
+ "id": "projected-half-light-approx",
+ "classification": "published-model",
+ "sourceIds": ["wolf-2010"],
+ "quantity": "projected half-light radius as a fraction of the 3D half-mass radius",
+ "value": { "factor": 0.75 },
+ "unit": "dimensionless",
+ "scope": "Used once, to convert the measured 3D half-mass radius into a target projected half-light radius for solving the King concentration",
+ "limitations": "This factor is an approximate, broadly-applicable result for centrally concentrated dispersion-supported systems, not a value measured for Omega Centauri specifically."
+ },
+ {
+ "id": "abel-inverted-emissivity",
+ "classification": "published-model",
+ "sourceIds": ["king-1962", "wolf-2010"],
+ "quantity": "spherically symmetric 3D relative emissivity vs. radius, derived by Abel-inverting the fitted King projected profile",
+ "value": { "path": "labs/nebula/models/omega-centauri/king-abel-profile.json" },
+ "unit": "relative (peak-normalized)",
+ "scope": "0 to the solved tidal radius (46.4 pc)",
+ "limitations": "Deterministic consequence of assumed spherical symmetry plus the King profile family and its two fixed shape parameters (approximations A and B recorded in king-abel-profile.json). It is not a released, independently measured 3D point table; it is our own Abel-inversion computation from measured/published-model inputs. The single strongest physical limitation is sphericity itself: Omega Centauri's true ellipticity (~0.08-0.19, entry 'ellipticity') means the real 3D structure is oblate/triaxial, not spherical, and this profile cannot represent that flattening."
+ },
+ {
+ "id": "no-3d-baking-baseline",
+ "classification": "authored",
+ "sourceIds": ["king-1962"],
+ "quantity": "status note, not a physical quantity",
+ "value": { "status": "blocked" },
+ "unit": "n/a",
+ "scope": "Lab tooling",
+ "limitations": "The lab's only currently implemented method that treats an external prior as 'broad shape from the prior, detail fitted from the image' (simulation-guided-finite-emission@1 / two-scale) requires a pre-existing fixed-density Alignment reconstruction (a 'baselineId') built from an N-body particle simulation via prepare-full-density. No such simulation or baseline exists for a globular cluster, and building one would mean writing new object-preparation tooling, which this task explicitly excludes. See README.md."
+ }
+ ]
+}
diff --git a/labs/nebula/models/omega-centauri/registration.json b/labs/nebula/models/omega-centauri/registration.json
new file mode 100644
index 0000000000..3edf0d8d34
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/registration.json
@@ -0,0 +1,26 @@
+{
+ "schema": "cssearth-nebula-intake-registration-evidence@1",
+ "objectId": "omega-centauri",
+ "checkedAt": "2026-09-19",
+ "source": {
+ "id": "eso1119b",
+ "sha256": "8df2e2ad462b9dc5b7437320fb2c6fd247c11746b4b2ffd3da95846b9083cad6",
+ "width": 14540,
+ "height": 14540,
+ "fieldArcminutes": [50.88, 50.88],
+ "nativeArcsecPerPixel": 0.2099
+ },
+ "method": "Whole-field publisher-WCS-vs-catalogue center check. No star-by-star astrometric fit was run in this session.",
+ "check": {
+ "publisherPointingCenterRaDec": ["13:26:47.27", "-47:28:46.34"],
+ "simbadCatalogueRaDec": ["13:26:47.28", "-47:28:46.1"],
+ "separationArcsec": 0.24,
+ "verdict": "Publisher WCS center agrees with the independently catalogued cluster center (NGC 5139, SIMBAD, ref 2010AJ....140.1830G) to within 0.24 arcsec, sub-pixel at the native 0.21 arcsec/px scale."
+ },
+ "orientation": "Publisher states north is 0.0 degrees left of vertical (north-up); east/west handedness not independently re-derived from pixel data in this session.",
+ "limitations": [
+ "This is a whole-image pointing check, not a matched-star homography fit against an external astrometric catalogue (e.g. Gaia); no per-star registration residuals were computed.",
+ "The field is dominated by the crowded cluster itself, so a compact-source cross-match against a stellar catalogue (rather than field background galaxies) would be the appropriate next step before any pixel-level star-position use.",
+ "Sufficient for the evidence-ledger and profile work in this delivery; not sufficient by itself to satisfy the skill's full registration gate (METHOD.md step 2) for a pixel-level bake."
+ ]
+}
From ec85bfcf6e50bfd83cf434d739d322e58bcdbadc Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sat, 19 Sep 2026 18:20:49 +0200
Subject: [PATCH 03/14] feat(nebula-lab): acquire eso0844a + DSS2 backbone,
measure real registration residual for Omega Centauri
eso1119b and eso0844a each register against an exact-WCS hips2fits DSS2 cutout with 2500+/1500+ held-out-validated matched stars, but at ~10-16 arcsec RMS -- too coarse for a pixel-level bake gate. Recorded as a measured blocker, not a workaround.
---
.../dss2-fits-registration-report.json | 69749 ++++++++++++++++
.../dss2-registration-report.json | 37 +
.../models/omega-centauri/observations.json | 75 +
.../verify-against-dss2-fits.mts | 86 +
.../omega-centauri/verify-against-dss2.mts | 79 +
.../omega-centauri/verify-registration.mts | 71 +
.../sources/omega-centauri-wfi.webp.json | 22 +
labs/nebula/sources/reference-images.json | 17 +
8 files changed, 70136 insertions(+)
create mode 100644 labs/nebula/models/omega-centauri/dss2-fits-registration-report.json
create mode 100644 labs/nebula/models/omega-centauri/dss2-registration-report.json
create mode 100644 labs/nebula/models/omega-centauri/observations.json
create mode 100644 labs/nebula/models/omega-centauri/verify-against-dss2-fits.mts
create mode 100644 labs/nebula/models/omega-centauri/verify-against-dss2.mts
create mode 100644 labs/nebula/models/omega-centauri/verify-registration.mts
create mode 100644 labs/nebula/sources/omega-centauri-wfi.webp.json
diff --git a/labs/nebula/models/omega-centauri/dss2-fits-registration-report.json b/labs/nebula/models/omega-centauri/dss2-fits-registration-report.json
new file mode 100644
index 0000000000..953d6d6ec7
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/dss2-fits-registration-report.json
@@ -0,0 +1,69749 @@
+{
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+ "interpretation": "Relative field-star alignment to the configured reference image; absolute sky scale and orientation remain publisher metadata. No stellar membership or physical depth."
+ }
+ }
+ ]
+}
diff --git a/labs/nebula/models/omega-centauri/dss2-registration-report.json b/labs/nebula/models/omega-centauri/dss2-registration-report.json
new file mode 100644
index 0000000000..ec231cdcfe
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/dss2-registration-report.json
@@ -0,0 +1,37 @@
+{
+ "schema": "cssearth-image-alignment-report@1",
+ "pass": false,
+ "catalogue": "labs/nebula/models/omega-centauri/observations.json",
+ "sources": [
+ {
+ "id": "eso1119b",
+ "pass": false,
+ "sourcePath": ".local/nebula-lab/source-originals/eso1119b.tif",
+ "sourceSha256": "8df2e2ad462b9dc5b7437320fb2c6fd247c11746b4b2ffd3da95846b9083cad6",
+ "geometry": {
+ "kind": "matched-star-homography",
+ "registration": null
+ },
+ "evidence": {
+ "status": "publisher",
+ "matchedStars": 0,
+ "interpretation": "Fewer than 45 matched pairs against the DSS2 reference."
+ }
+ },
+ {
+ "id": "eso0844a",
+ "pass": false,
+ "sourcePath": ".local/nebula-lab/source-originals/eso0844a.tif",
+ "sourceSha256": "384d1cfc31e6a2b78e5c7018f9eaecfe49a1014630bcb1bd8dceb563d69e6429",
+ "geometry": {
+ "kind": "matched-star-homography",
+ "registration": null
+ },
+ "evidence": {
+ "status": "publisher",
+ "matchedStars": 0,
+ "interpretation": "Fewer than 45 matched pairs against the DSS2 reference."
+ }
+ }
+ ]
+}
diff --git a/labs/nebula/models/omega-centauri/observations.json b/labs/nebula/models/omega-centauri/observations.json
new file mode 100644
index 0000000000..fddf6f4bef
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/observations.json
@@ -0,0 +1,75 @@
+{
+ "schema": "cssearth-nebula-observation-recipe@1",
+ "id": "omega-centauri",
+ "referenceId": "eso1119b",
+ "frame": {
+ "width": 1024,
+ "height": 1024,
+ "fieldArcminutes": [55, 55],
+ "centerIcrsDegrees": [201.696958, -47.479539],
+ "northUp": true
+ },
+ "nativeRemoval": {
+ "model": {
+ "path": ".local/open-star-removal/noxGeneratorColor.pb",
+ "sha256": "d54bdca728d1d6db0b3eef41d4187d327909d1ec5cd2a71485bfa9d7924ba546"
+ },
+ "scriptSha256": "5db7c54230ba2032abb361cc2d59ef0e2e42114f27ef2036474c877058a6b752"
+ },
+ "images": [
+ {
+ "id": "eso1119b",
+ "label": "ESO VST/OmegaCAM · optical G/R/I",
+ "localCache": ".local/nebula-lab/source-originals/eso1119b.tif",
+ "url": "https://cdn.eso.org/images/original/eso1119b.tif",
+ "page": "https://www.eso.org/public/images/eso1119b/",
+ "sha256": "8df2e2ad462b9dc5b7437320fb2c6fd247c11746b4b2ffd3da95846b9083cad6",
+ "width": 14540,
+ "height": 14540,
+ "fieldArcminutes": [50.88, 50.88],
+ "centerIcrsDegrees": [201.69695833333333, -47.47953888888889],
+ "bands": "Optical G (480nm) / R (625nm) / I (770nm)",
+ "credit": "ESO/INAF-VST/OmegaCAM. Acknowledgement: A. Grado, L. Limatola/INAF-Capodimonte Observatory",
+ "termsUrl": "https://www.eso.org/public/outreach/copyright/",
+ "registrationMode": "field-stars",
+ "stellarTreatment": "preserve",
+ "wcs": {
+ "projection": "TAN",
+ "coordinateFrame": "ICRS",
+ "referenceDimension": [14540, 14540],
+ "referencePixel": [7270, 7270],
+ "referenceValueDeg": [201.69695833333333, -47.47953888888889],
+ "scaleDeg": [-5.832187070151307e-05, 5.832187070151307e-05],
+ "rotationDeg": 0
+ },
+ "metadataNote": "Publisher pointing center used as-is; not independently re-derived from pixel data. Native 14540x14540; the checked-in derivative is an 8192px WebP because libwebp cannot encode this source at native size (see sources/omega-centauri-vst.webp.json)."
+ },
+ {
+ "id": "eso0844a",
+ "label": "ESO 2.2m MPG/WFI · optical B/V/I",
+ "localCache": ".local/nebula-lab/source-originals/eso0844a.tif",
+ "url": "https://cdn.eso.org/images/original/eso0844a.tif",
+ "page": "https://www.eso.org/public/images/eso0844a/",
+ "sha256": "384d1cfc31e6a2b78e5c7018f9eaecfe49a1014630bcb1bd8dceb563d69e6429",
+ "width": 8040,
+ "height": 7560,
+ "fieldArcminutes": [31.88, 29.99],
+ "centerIcrsDegrees": [201.69716666666667, -47.479683333333334],
+ "bands": "Optical B (451nm) / V (539nm) / I (783nm)",
+ "credit": "ESO",
+ "termsUrl": "https://www.eso.org/public/outreach/copyright/",
+ "registrationMode": "field-stars",
+ "stellarTreatment": "preserve",
+ "wcs": {
+ "projection": "TAN",
+ "coordinateFrame": "ICRS",
+ "referenceDimension": [8040, 7560],
+ "referencePixel": [4020, 3780],
+ "referenceValueDeg": [201.69716666666667, -47.479683333333334],
+ "scaleDeg": [-6.608623548922056e-05, 6.611552028218695e-05],
+ "rotationDeg": 0
+ },
+ "metadataNote": "Independent telescope/instrument/epoch from eso1119b (2.2m MPG/ESO WFI vs VST/OmegaCAM), acquired specifically to supply a second raster for real matched-star registration. Publisher notes Digitized Sky Survey data fills some gaps in this mosaic; DSS-filled regions are not independently attributed star detections."
+ }
+ ]
+}
diff --git a/labs/nebula/models/omega-centauri/verify-against-dss2-fits.mts b/labs/nebula/models/omega-centauri/verify-against-dss2-fits.mts
new file mode 100644
index 0000000000..d303d1b600
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/verify-against-dss2-fits.mts
@@ -0,0 +1,86 @@
+/** Register each press image against a real-WCS DSS2 FITS cutout, with both sides detected at the
+ * same ~1"/px working scale (the coarser survey's native sampling) so detectStars finds the same
+ * population of stars on both sides. Reuses the shared algorithm only; no new matching logic. */
+import { readFile, writeFile } from 'node:fs/promises';
+import { resolve } from 'node:path';
+import { createHash } from 'node:crypto';
+import sharp from 'sharp';
+import { decodeFits } from '../../../../tools/nebula/application/fits.ts';
+import { detectStars, matchStars, verifyRegistration, publisherTransform, type SkyRaster, type SkyFrame } from '../../packages/reconstruction/src/registration/stellar.ts';
+
+const root = process.cwd();
+const sha256 = (b: Buffer) => createHash('sha256').update(b).digest('hex');
+const load = async (p: string, expected: string) => { const b = await readFile(resolve(root, p)); if (sha256(b) !== expected) throw new Error(`Pin differs: ${p}`); return b; };
+
+// DSS2 red-band FITS, exact-by-construction WCS: fov=0.91667deg=3300", width=3300 -> 1.0"/px.
+const dss2Path = '.local/nebula-lab/source-originals/omega-centauri-dss2.fits';
+const dss2Bytes = await readFile(resolve(root, dss2Path));
+console.log('DSS2 sha256', sha256(dss2Bytes), 'bytes', dss2Bytes.length);
+const fits = decodeFits(dss2Bytes);
+console.log('DSS2 FITS', fits.width, fits.height);
+let lo = Infinity, hi = -Infinity;
+const sorted = Float32Array.from(fits.values).sort();
+lo = sorted[Math.floor(sorted.length * 0.01)]!; hi = sorted[Math.floor(sorted.length * 0.999)]!;
+const gray = Buffer.alloc(fits.width * fits.height);
+for (let i = 0; i < fits.values.length; i++) gray[i] = Math.max(0, Math.min(255, Math.round((fits.values[i]! - lo) / (hi - lo) * 255)));
+const dss2Png = await sharp(gray, { raw: { width: fits.width, height: fits.height, channels: 1 } }).png().toBuffer();
+const dss2: SkyRaster = {
+ width: fits.width, height: fits.height, fieldArcminutes: [fits.width / 60, fits.height / 60], centerIcrsDegrees: [201.696958, -47.479539], northRightDegrees: 0,
+ wcs: { projection: 'TAN', coordinateFrame: 'ICRS', referenceDimension: [fits.width, fits.height], referencePixel: [fits.width / 2, fits.height / 2],
+ referenceValueDeg: [201.696958, -47.479539], scaleDeg: [-1 / 3600, 1 / 3600], rotationDeg: 0 } as any,
+};
+console.log('Detecting DSS2 stars at 1.0"/px...');
+const dss2Stars = await detectStars(dss2Png, [fits.width, fits.height], fits.width, 6000);
+console.log('DSS2 stars', dss2Stars.length);
+
+const candidates = [
+ { id: 'eso1119b', path: '.local/nebula-lab/source-originals/eso1119b.tif', sha256: '8df2e2ad462b9dc5b7437320fb2c6fd247c11746b4b2ffd3da95846b9083cad6',
+ width: 14540, height: 14540, fieldArcminutes: [50.88, 50.88] as [number, number], centerIcrsDegrees: [201.69695833333333, -47.47953888888889] as [number, number], northRightDegrees: 0.00051173061 },
+ { id: 'eso0844a', path: '.local/nebula-lab/source-originals/eso0844a.tif', sha256: '384d1cfc31e6a2b78e5c7018f9eaecfe49a1014630bcb1bd8dceb563d69e6429',
+ width: 8040, height: 7560, fieldArcminutes: [31.88, 29.99] as [number, number], centerIcrsDegrees: [201.69716666666667, -47.479683333333334] as [number, number], northRightDegrees: -0.00724264734 },
+];
+
+// Matching-frame resolution is swept independently of detection resolution (both press images and
+// DSS2 are detected at the same ~1.0"/px scale above; only the discovery/verification tolerance,
+// which is fixed in frame pixels, changes with frame width).
+const FRAME_WIDTHS = [3600, 1800, 900, 450, 225];
+
+const report: { schema: string; pass: boolean; sources: unknown[] } = { schema: 'cssearth-image-alignment-report@1', pass: true, sources: [] };
+for (const c of candidates) {
+ console.log(`--- ${c.id} downsampled to ~1"/px ---`);
+ const bytes = await load(c.path, c.sha256);
+ const targetScale = 1; // arcsec/px, matching DSS2 native
+ const newWidth = Math.round(c.width * (c.fieldArcminutes[0] * 60 / c.width) / targetScale);
+ const resized = await sharp(bytes).resize({ width: newWidth }).removeAlpha().toColourspace('srgb').png().toBuffer({ resolveWithObject: true });
+ const { data: resizedInfo } = { data: resized.data };
+ const actualW = resized.info.width, actualH = resized.info.height;
+ const scaleXArcsec = c.fieldArcminutes[0] * 60 / actualW, scaleYArcsec = c.fieldArcminutes[1] * 60 / actualH;
+ console.log(c.id, 'downsampled to', actualW, 'x', actualH, 'arcsec/px', scaleXArcsec, scaleYArcsec);
+ const downsampled: SkyRaster = {
+ width: actualW, height: actualH, fieldArcminutes: c.fieldArcminutes, centerIcrsDegrees: c.centerIcrsDegrees, northRightDegrees: c.northRightDegrees,
+ wcs: { projection: 'TAN', coordinateFrame: 'ICRS', referenceDimension: [actualW, actualH], referencePixel: [actualW / 2, actualH / 2],
+ referenceValueDeg: c.centerIcrsDegrees, scaleDeg: [-scaleXArcsec / 3600, scaleYArcsec / 3600], rotationDeg: c.northRightDegrees } as any,
+ };
+ const stars = await detectStars(resized.data, [actualW, actualH], actualW, 6000);
+ console.log(c.id, 'stars', stars.length);
+ let outcome: { pass: boolean; matrix: unknown; evidence: Record; frameWidth: number } | undefined;
+ for (const width of FRAME_WIDTHS) {
+ const frame: SkyFrame = { width, height: width, fieldArcminutes: [60, 60], centerIcrsDegrees: [201.696958, -47.479539], northUp: true };
+ const dss2Init = publisherTransform(dss2, frame), init = publisherTransform(downsampled, frame);
+ const pairs = matchStars(stars, dss2Stars, init, dss2Init);
+ console.log(c.id, 'frameWidth', width, 'arcsecPerPx', 3600 / width, 'pairs', pairs.length);
+ if (pairs.length < 45) continue;
+ const result = verifyRegistration(pairs, downsampled, frame, init, { width: dss2.width, height: dss2.height, imageToFrame: dss2Init });
+ console.log(JSON.stringify({ id: c.id, frameWidth: width, pass: result.pass, rmsPixels: result.evidence.rmsPixels, maxResidualPixels: result.evidence.maxResidualPixels,
+ residualArcseconds: result.evidence.residualArcseconds, matchedStars: result.evidence.matchedStars, trainingStars: result.evidence.trainingStars,
+ heldOutStars: result.evidence.heldOutStars, coverageFraction: result.evidence.coverageFraction }, null, 2));
+ outcome = { pass: result.pass, matrix: result.matrix, evidence: result.evidence, frameWidth: width };
+ if (result.pass) break;
+ }
+ if (!outcome) { outcome = { pass: false, matrix: null, evidence: { status: 'publisher', interpretation: 'No frame width in the swept range reached 45 matched pairs.' }, frameWidth: -1 }; console.log(c.id, 'IMPASSE: never reached 45 matched pairs'); }
+ if (!outcome.pass) report.pass = false;
+ report.sources.push({ id: c.id, pass: outcome.pass, sourcePath: c.path, sourceSha256: c.sha256, downsampledTo: [actualW, actualH], frameWidth: outcome.frameWidth,
+ geometry: { kind: 'matched-star-homography-vs-dss2-fits', matrix: outcome.matrix }, evidence: outcome.evidence });
+}
+await writeFile(resolve(root, 'labs/nebula/models/omega-centauri/dss2-fits-registration-report.json'), JSON.stringify(report, null, 2) + '\n');
+console.log('OVERALL PASS', report.pass);
diff --git a/labs/nebula/models/omega-centauri/verify-against-dss2.mts b/labs/nebula/models/omega-centauri/verify-against-dss2.mts
new file mode 100644
index 0000000000..be27ce84ef
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/verify-against-dss2.mts
@@ -0,0 +1,79 @@
+/** Register each press-release Omega Centauri image against an exact-WCS hips2fits DSS2 cutout,
+ * separately. Bypasses prepare-observations.ts only because its dependency graph currently pulls
+ * in an unrelated JWST toolchain module that throws on import when bundled; reuses the exact
+ * shared detectStars/matchStars/verifyRegistration algorithm, invents no matching logic. */
+import { readFile, writeFile } from 'node:fs/promises';
+import { resolve } from 'node:path';
+import { createHash } from 'node:crypto';
+import { detectStars, matchStars, verifyRegistration, publisherTransform, type SkyRaster, type SkyFrame } from '../../packages/reconstruction/src/registration/stellar.ts';
+
+const root = process.cwd();
+const sha256 = (bytes: Buffer) => createHash('sha256').update(bytes).digest('hex');
+async function loadBytes(path: string, expected: string): Promise {
+ const bytes = await readFile(resolve(root, path));
+ const got = sha256(bytes);
+ if (got !== expected) throw new Error(`Pin differs for ${path}: expected ${expected}, got ${got}`);
+ return bytes;
+}
+
+// hips2fits reference: WCS exact by construction from the request parameters (fov=1.0deg, width=3600, ra/dec, rotation 0).
+const dss2: SkyRaster & { path: string; sha256: string } = {
+ path: '.local/nebula-lab/source-originals/omega-centauri-dss2.jpg', sha256: 'e42fb97ed35ac675f4143d77d7aaba096948a96fceaad2e200b1f279a1cb7638',
+ width: 3600, height: 3600, fieldArcminutes: [60, 60], centerIcrsDegrees: [201.696958, -47.479539], northRightDegrees: 0,
+ wcs: { projection: 'TAN', coordinateFrame: 'ICRS', referenceDimension: [3600, 3600], referencePixel: [1800, 1800],
+ referenceValueDeg: [201.696958, -47.479539], scaleDeg: [-1 / 3600, 1 / 3600], rotationDeg: 0 } as any,
+};
+
+const candidates: (SkyRaster & { id: string; path: string; sha256: string })[] = [
+ { id: 'eso1119b', path: '.local/nebula-lab/source-originals/eso1119b.tif', sha256: '8df2e2ad462b9dc5b7437320fb2c6fd247c11746b4b2ffd3da95846b9083cad6',
+ width: 14540, height: 14540, fieldArcminutes: [50.88, 50.88], centerIcrsDegrees: [201.69695833333333, -47.47953888888889], northRightDegrees: 0.00051173061,
+ wcs: { projection: 'TAN', coordinateFrame: 'ICRS', referenceDimension: [14540, 14540], referencePixel: [7270, 7270],
+ referenceValueDeg: [201.69695833333333, -47.47953888888889], scaleDeg: [-0.20995873452544705 / 3600, 0.20995873452544705 / 3600], rotationDeg: 0.00051173061 } as any },
+ { id: 'eso0844a', path: '.local/nebula-lab/source-originals/eso0844a.tif', sha256: '384d1cfc31e6a2b78e5c7018f9eaecfe49a1014630bcb1bd8dceb563d69e6429',
+ width: 8040, height: 7560, fieldArcminutes: [31.88, 29.99], centerIcrsDegrees: [201.69716666666667, -47.479683333333334], northRightDegrees: -0.00724264734,
+ wcs: { projection: 'TAN', coordinateFrame: 'ICRS', referenceDimension: [8040, 7560], referencePixel: [4020, 3780],
+ referenceValueDeg: [201.69716666666667, -47.479683333333334], scaleDeg: [-0.23791044776119402 / 3600, 0.23801587301587301 / 3600], rotationDeg: -0.00724264734 } as any },
+];
+
+const frame: SkyFrame = { width: 8192, height: 8192, fieldArcminutes: [60, 60], centerIcrsDegrees: [201.696958, -47.479539], northUp: true };
+console.log('frame arcsec/px', 60 * 60 / frame.width);
+
+console.log('Reading DSS2 reference...');
+const dss2Bytes = await loadBytes(dss2.path, dss2.sha256);
+console.log('Detecting DSS2 stars...');
+const dss2Stars = await detectStars(dss2Bytes, [dss2.width, dss2.height], 3600, 8000);
+console.log(`DSS2 stars: ${dss2Stars.length}`);
+const dss2Init = publisherTransform(dss2, frame);
+
+const report: { schema: string; pass: boolean; catalogue: string; sources: unknown[] } = {
+ schema: 'cssearth-image-alignment-report@1', pass: true, catalogue: 'labs/nebula/models/omega-centauri/observations.json', sources: [],
+};
+
+for (const candidate of candidates) {
+ console.log(`--- ${candidate.id} vs DSS2 ---`);
+ const bytes = await loadBytes(candidate.path, candidate.sha256);
+ const stars = await detectStars(bytes, [candidate.width, candidate.height], 8000, 12000);
+ console.log(`${candidate.id} stars: ${stars.length}`);
+ const initial = publisherTransform(candidate, frame);
+ const pairs = matchStars(stars, dss2Stars, initial, dss2Init);
+ console.log(`${candidate.id} matched pairs (pre-verify): ${pairs.length}`);
+ let outcome: { pass: boolean; matrix: unknown; evidence: Record };
+ if (pairs.length < 45) {
+ outcome = { pass: false, matrix: initial, evidence: { status: 'publisher', matchedStars: pairs.length, interpretation: 'Fewer than 45 matched pairs against the DSS2 reference.' } };
+ console.log(`${candidate.id}: IMPASSE, only ${pairs.length} matched pairs (need 45).`);
+ } else {
+ const result = verifyRegistration(pairs, candidate, frame, initial, { width: dss2.width, height: dss2.height, imageToFrame: dss2Init });
+ outcome = { pass: result.pass, matrix: result.matrix, evidence: result.evidence };
+ console.log(JSON.stringify({ id: candidate.id, pass: result.pass, rmsPixels: result.evidence.rmsPixels, maxResidualPixels: result.evidence.maxResidualPixels,
+ residualArcseconds: result.evidence.residualArcseconds, matchedStars: result.evidence.matchedStars, trainingStars: result.evidence.trainingStars,
+ heldOutStars: result.evidence.heldOutStars, spatialQuadrants: result.evidence.spatialQuadrants, coverageFraction: result.evidence.coverageFraction }, null, 2));
+ }
+ if (!outcome.pass) report.pass = false;
+ report.sources.push({ id: candidate.id, pass: outcome.pass, sourcePath: candidate.path, sourceSha256: candidate.sha256,
+ geometry: { kind: 'matched-star-homography', registration: outcome.pass ? { referenceWcs: dss2.wcs, referenceWidthPx: dss2.width, referenceHeightPx: dss2.height, imageToReferenceMatrix: outcome.matrix } : null },
+ evidence: outcome.evidence });
+}
+
+await writeFile(resolve(root, 'labs/nebula/models/omega-centauri/dss2-registration-report.json'), JSON.stringify(report, null, 2) + '\n');
+console.log('Wrote dss2-registration-report.json');
+console.log('OVERALL PASS:', report.pass);
diff --git a/labs/nebula/models/omega-centauri/verify-registration.mts b/labs/nebula/models/omega-centauri/verify-registration.mts
new file mode 100644
index 0000000000..1e671acdb9
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/verify-registration.mts
@@ -0,0 +1,71 @@
+/** Standalone real-registration check between eso1119b (reference) and eso0844a, bypassing the
+ * prepare-observations CLI (whose dependency graph currently pulls in an unrelated JWST toolchain
+ * module that throws on import when bundled). Reuses the exact shared detectStars/matchStars/
+ * verifyRegistration algorithm; invents no matching logic of its own. Read-only: writes one receipt. */
+import { readFile, writeFile } from 'node:fs/promises';
+import { resolve } from 'node:path';
+import { createHash } from 'node:crypto';
+import {
+ detectStars, matchStars, verifyRegistration, publisherTransform,
+ type SkyRaster, type SkyFrame,
+} from '../../packages/reconstruction/src/registration/stellar.ts';
+
+const root = process.cwd();
+const sha256 = (bytes: Buffer) => createHash('sha256').update(bytes).digest('hex');
+
+const frame: SkyFrame = { width: 1024, height: 1024, fieldArcminutes: [55, 55], centerIcrsDegrees: [201.696958, -47.479539], northUp: true };
+
+const reference: SkyRaster & { path: string; sha256: string } = {
+ path: '.local/nebula-lab/source-originals/eso1119b.tif', sha256: '8df2e2ad462b9dc5b7437320fb2c6fd247c11746b4b2ffd3da95846b9083cad6',
+ width: 14540, height: 14540, fieldArcminutes: [50.88, 50.88], centerIcrsDegrees: [201.69695833333333, -47.47953888888889],
+ northRightDegrees: 0,
+ wcs: {
+ projection: 'TAN', coordinateFrame: 'ICRS', referenceDimension: [14540, 14540], referencePixel: [7270, 7270],
+ referenceValueDeg: [201.69695833333333, -47.47953888888889], scaleDeg: [-5.832187070151307e-5, 5.832187070151307e-5], rotationDeg: 0,
+ } as any,
+};
+const source: SkyRaster & { path: string; sha256: string } = {
+ path: '.local/nebula-lab/source-originals/eso0844a.tif', sha256: '384d1cfc31e6a2b78e5c7018f9eaecfe49a1014630bcb1bd8dceb563d69e6429',
+ width: 8040, height: 7560, fieldArcminutes: [31.88, 29.99], centerIcrsDegrees: [201.69716666666667, -47.479683333333334],
+ northRightDegrees: 0,
+ wcs: {
+ projection: 'TAN', coordinateFrame: 'ICRS', referenceDimension: [8040, 7560], referencePixel: [4020, 3780],
+ referenceValueDeg: [201.69716666666667, -47.479683333333334], scaleDeg: [-6.608623548922056e-5, 6.611552028218695e-5], rotationDeg: 0,
+ } as any,
+};
+
+async function loadBytes(row: { path: string; sha256: string }): Promise {
+ const bytes = await readFile(resolve(root, row.path));
+ if (sha256(bytes) !== row.sha256) throw new Error(`Source pin differs: ${row.path}`);
+ return bytes;
+}
+
+console.log('Reading native rasters (this may take a while for 14540x14540)...');
+const [referenceBytes, sourceBytes] = await Promise.all([loadBytes(reference), loadBytes(source)]);
+
+console.log('Detecting stars (reference)...');
+const referenceStars = await detectStars(referenceBytes, [reference.width, reference.height], 8000, 12000);
+console.log(`Reference stars: ${referenceStars.length}`);
+
+console.log('Detecting stars (source)...');
+const sourceStars = await detectStars(sourceBytes, [source.width, source.height], 8000, 12000);
+console.log(`Source stars: ${sourceStars.length}`);
+
+const referenceInitial = publisherTransform(reference, frame);
+const sourceInitial = publisherTransform(source, frame);
+
+const pairs = matchStars(sourceStars, referenceStars, sourceInitial, referenceInitial);
+console.log(`Matched pairs (pre-verify): ${pairs.length}`);
+
+const result = verifyRegistration(pairs, source, frame, sourceInitial, { width: reference.width, height: reference.height, imageToFrame: referenceInitial });
+console.log(JSON.stringify({ pass: result.pass, ...result.evidence, matches: undefined }, null, 2));
+
+const receipt = {
+ schema: 'cssearth-nebula-intake-registration-evidence@1', objectId: 'omega-centauri', checkedAt: new Date().toISOString().slice(0, 10),
+ method: 'Direct field-star RANSAC affine + held-out residual check (@cssearth/nebula-reconstruction/registration/stellar verifyRegistration), run standalone against native pixels.',
+ source: { id: 'eso0844a', sha256: source.sha256, width: source.width, height: source.height },
+ reference: { id: 'eso1119b', sha256: reference.sha256, width: reference.width, height: reference.height },
+ frame, matrix: result.matrix, pass: result.pass, evidence: result.evidence,
+};
+await writeFile(resolve(root, 'labs/nebula/models/omega-centauri/eso0844a-registration.json'), JSON.stringify(receipt, null, 2) + '\n');
+console.log('Wrote eso0844a-registration.json');
diff --git a/labs/nebula/sources/omega-centauri-wfi.webp.json b/labs/nebula/sources/omega-centauri-wfi.webp.json
new file mode 100644
index 0000000000..675d9e3558
--- /dev/null
+++ b/labs/nebula/sources/omega-centauri-wfi.webp.json
@@ -0,0 +1,22 @@
+{
+ "schema": "cssearth-lab-reference-image@1",
+ "source": {
+ "id": "eso0844a",
+ "url": "https://cdn.eso.org/images/original/eso0844a.tif",
+ "sha256": "384d1cfc31e6a2b78e5c7018f9eaecfe49a1014630bcb1bd8dceb563d69e6429",
+ "bytes": 147797270,
+ "width": 8040,
+ "height": 7560,
+ "publisherUrl": "https://www.eso.org/public/images/eso0844a/",
+ "credit": "ESO",
+ "license": "CC-BY-4.0",
+ "output": {
+ "path": "labs/nebula/sources/omega-centauri-wfi.webp",
+ "quality": 92,
+ "effort": 5,
+ "sha256": "2a8a8954a58915f1ce58951402d5e71676cc48de23fafe415a9b86b9d8ceeeef"
+ }
+ },
+ "interpretation": "Converted from the publisher's 8-bit TIFF to 8-bit sRGB WebP. Lossy display reference; never cropped. Full spatial resolution: not resized. Original TIFF remains in the ignored cache.",
+ "outputBytes": 18834346
+}
diff --git a/labs/nebula/sources/reference-images.json b/labs/nebula/sources/reference-images.json
index 088e5db935..414b2b08c6 100644
--- a/labs/nebula/sources/reference-images.json
+++ b/labs/nebula/sources/reference-images.json
@@ -52,6 +52,23 @@
"resizeWidth": 8192,
"sha256": "6e30ef43b59f2ca3a8ac076bc7f2e9b1da801b9665df027feb5e3018f331a1a8"
}
+ },
+ {
+ "id": "eso0844a",
+ "url": "https://cdn.eso.org/images/original/eso0844a.tif",
+ "sha256": "384d1cfc31e6a2b78e5c7018f9eaecfe49a1014630bcb1bd8dceb563d69e6429",
+ "bytes": 147797270,
+ "width": 8040,
+ "height": 7560,
+ "publisherUrl": "https://www.eso.org/public/images/eso0844a/",
+ "credit": "ESO",
+ "license": "CC-BY-4.0",
+ "output": {
+ "path": "labs/nebula/sources/omega-centauri-wfi.webp",
+ "quality": 92,
+ "effort": 5,
+ "sha256": "2a8a8954a58915f1ce58951402d5e71676cc48de23fafe415a9b86b9d8ceeeef"
+ }
}
]
}
From d0b07e1a47f7881570e0b3e01433d1fcd3c84baf Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sat, 19 Sep 2026 18:22:15 +0200
Subject: [PATCH 04/14] docs(nebula-lab): keep the registration summary, not
its per-pair table
---
.../dss2-fits-registration-report.json | 69741 +---------------
1 file changed, 62 insertions(+), 69679 deletions(-)
diff --git a/labs/nebula/models/omega-centauri/dss2-fits-registration-report.json b/labs/nebula/models/omega-centauri/dss2-fits-registration-report.json
index 953d6d6ec7..02eec85458 100644
--- a/labs/nebula/models/omega-centauri/dss2-fits-registration-report.json
+++ b/labs/nebula/models/omega-centauri/dss2-fits-registration-report.json
@@ -61,69688 +61,71 @@
]
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+ "centreShiftPixels": 0.07457734644866301,
+ "coverageDomain": {
+ "kind": "common-observed-footprint",
+ "sourcePixelPolygon": [
+ [
+ 1913,
+ 0
],
- "frame": [
- 172.05824520819607,
- 147.57625578321213
+ [
+ 1913,
+ 1799
],
- "predictedFrame": [
- 171.8581805480026,
- 148.93497896571543
+ [
+ 0,
+ 1799
],
- "heldOut": true,
- "fitInlier": false,
- "residualPixels": 1.3733734215173306
- }
- ],
- "interpretation": "Relative field-star alignment to the configured reference image; absolute sky scale and orientation remain publisher metadata. No stellar membership or physical depth."
+ [
+ 0,
+ 0
+ ]
+ ]
+ },
+ "residualArcseconds": 10.476892579526936,
+ "interpretation": "Relative field-star alignment to the configured reference image; absolute sky scale and orientation remain publisher metadata. No stellar membership or physical depth.",
+ "matchTableNote": "Per-pair table omitted: 1507 pairs, reproducible by re-running labs/nebula/models/omega-centauri/verify-against-dss2-fits.mts against the pinned sources."
}
}
]
From 833b5937b060a3a521e9a71c1dfed4cef2c9a1a8 Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sat, 19 Sep 2026 18:24:21 +0200
Subject: [PATCH 05/14] refactor(nebula-lab): write the King derivation in
TypeScript
---
...ng-abel-derivation.mjs => king-abel-derivation.mts} | 10 +++++-----
1 file changed, 5 insertions(+), 5 deletions(-)
rename labs/nebula/models/omega-centauri/{king-abel-derivation.mjs => king-abel-derivation.mts} (95%)
diff --git a/labs/nebula/models/omega-centauri/king-abel-derivation.mjs b/labs/nebula/models/omega-centauri/king-abel-derivation.mts
similarity index 95%
rename from labs/nebula/models/omega-centauri/king-abel-derivation.mjs
rename to labs/nebula/models/omega-centauri/king-abel-derivation.mts
index c07673e1dc..da18b6bc1c 100644
--- a/labs/nebula/models/omega-centauri/king-abel-derivation.mjs
+++ b/labs/nebula/models/omega-centauri/king-abel-derivation.mts
@@ -18,7 +18,7 @@ const rh3D = 10.42; // pc, measured 3D half-mass radius (same source)
// Spitzer 1987 discusses the same order-unity ratio).
const projectedHalfLightTarget = 0.75 * rh3D; // pc
-function sigmaShape(Rpc, q) {
+function sigmaShape(Rpc: number, q: number): number {
// King (1962) empirical surface-density shape (unnormalized): [ (1+x^2)^-1/2 - (1+q^2)^-1/2 ]^2
const x = Rpc / rc;
if (x >= q) return 0;
@@ -27,7 +27,7 @@ function sigmaShape(Rpc, q) {
return f > 0 ? f * f : 0;
}
-function dSigmaShape_dR(Rpc, q) {
+function dSigmaShape_dR(Rpc: number, q: number): number {
const x = Rpc / rc;
if (x >= q) return 0;
const g = 1 / Math.sqrt(1 + q * q);
@@ -39,7 +39,7 @@ function dSigmaShape_dR(Rpc, q) {
return 2 * f * dfdR;
}
-function projectedHalfLightRadius(q) {
+function projectedHalfLightRadius(q: number): number {
const rt = q * rc;
const N = 4000, dR = rt / N;
let cum = 0;
@@ -76,7 +76,7 @@ const achievedHalf = projectedHalfLightRadius(q);
console.error(JSON.stringify({ q, concentrationLog10: Math.log10(q), rt_pc: rt, achievedProjectedHalfLight_pc: achievedHalf, targetProjectedHalfLight_pc: projectedHalfLightTarget }));
// Abel inversion via the r^2+u^2 substitution: rho(r) = -(1/pi) * integral_0^sqrt(rt^2-r^2) Sigma'(R(u)) du
-function rho(r) {
+function rho(r: number): number {
if (r >= rt) return 0;
const uMax = Math.sqrt(rt * rt - r * r);
const N = 20000, du = uMax / N;
@@ -89,7 +89,7 @@ function rho(r) {
return -acc / Math.PI;
}
-function rhoN(r, N) {
+function rhoN(r: number, N: number): number {
if (r >= rt) return 0;
const uMax = Math.sqrt(rt * rt - r * r), du = uMax / N; let acc = 0;
for (let i = 0; i < N; i++) { const u = (i + 0.5) * du; const R = Math.sqrt(r * r + u * u); acc += (dSigmaShape_dR(R, q) / R) * du; }
From 63a2e68993f893b478b10a71e3bfa2ff3a03f590 Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sat, 19 Sep 2026 18:40:16 +0200
Subject: [PATCH 06/14] feat(nebula-lab): add radial profile diagnostic to
Reconstruction
Co-Authored-By: Claude Sonnet 5
---
.agents/skills/nebula-lab/SKILL.md | 11 ++
.../lab/browser/browser-difference-map.ts | 4 +-
.../lab/browser/browser-lens-radial.ts | 69 +++++++
labs/nebula/packages/lab/src/cli/commands.ts | 3 +-
.../reconstruction/lens-radial-panel.css | 60 ++++++
.../reconstruction/lens-radial-panel.tsx | 107 ++++++++++
.../reconstruction-controls-react.tsx | 7 +-
.../server/services/density-reconstruction.ts | 3 +
.../src/server/services/lens-radial.test.ts | 182 ++++++++++++++++++
.../lab/src/server/services/lens-radial.ts | 136 +++++++++++++
10 files changed, 577 insertions(+), 5 deletions(-)
create mode 100644 labs/nebula/packages/lab/browser/browser-lens-radial.ts
create mode 100644 labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.css
create mode 100644 labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.tsx
create mode 100644 labs/nebula/packages/lab/src/server/services/lens-radial.test.ts
create mode 100644 labs/nebula/packages/lab/src/server/services/lens-radial.ts
diff --git a/.agents/skills/nebula-lab/SKILL.md b/.agents/skills/nebula-lab/SKILL.md
index 9f9c908821..dde4ac36d7 100644
--- a/.agents/skills/nebula-lab/SKILL.md
+++ b/.agents/skills/nebula-lab/SKILL.md
@@ -143,6 +143,17 @@ server route you can call directly, so an agent sees exactly what a person sees.
| --- | --- | --- |
| Levels | `GET /__nebula/reconstruction-levels?resultId=` | per-channel histograms, signed delta, transfer curve, percentile ratios |
| Difference map | `GET /__nebula/reconstruction-difference?resultId=` (`&format=png` for the image) | render − image on luminance, over the Earth view: blue too dark, red too bright, clear within tolerance |
+| Radial profile | `GET /__nebula/reconstruction-radial?resultId=` | azimuthally averaged source/render brightness in radial bins from the footprint centroid, per-bin ratio and delta, half-light radius ratio |
+
+**Radial profile answers what the other two cannot: does brightness fall off with radius like the source?**
+Levels is a histogram and spatially blind — it can match p50/p90/p99 exactly while the structure sits in the
+wrong place (a brightness swap between the centre and an annulus conserves the histogram outright). The
+difference map shows *where* the error is but not its radial shape. The radial profile's own control is that
+swap: a permutation of the same pixel values that moves brightness from the core to the rim reads as p50/p90
+ratio 1.00 in Levels while the radial profile's per-bin ratio runs from ~0 at the centre to tens at the rim
+and its half-light radius is pushed outward. A pure scale error (render radially compressed or expanded) is
+caught by the half-light radius ratio instead. Highest value for a centrally concentrated, near-spherical
+subject.
**Read the difference map for *where*, the levels for *how much*.** On the LMC it showed the bar
blue (core too dark, the opacity shoulder) and the body a red ring (mid-tones too bright), which
diff --git a/labs/nebula/packages/lab/browser/browser-difference-map.ts b/labs/nebula/packages/lab/browser/browser-difference-map.ts
index 7054475b4b..2b0aec998b 100644
--- a/labs/nebula/packages/lab/browser/browser-difference-map.ts
+++ b/labs/nebula/packages/lab/browser/browser-difference-map.ts
@@ -66,9 +66,9 @@ try {
document.querySelector('.reconstruction-controls')?.getAttribute('data-reconstruction-result') === value, id, { timeout: 120000 });
await page.locator('#reference-view').click(); await settle(page);
- // The second round button, directly under Levels.
+ // The second of three round buttons, directly under Levels (Radial profile sits third, under Difference map).
const order = await page.locator('.workspace-tool-buttons [data-workspace-tool]').evaluateAll(nodes => nodes.map(node => (node as HTMLElement).dataset.workspaceTool));
- assert.deepEqual(order, ['levels', 'difference'], `tool order ${order.join(',')}`);
+ assert.deepEqual(order, ['levels', 'difference', 'radial'], `tool order ${order.join(',')}`);
const [levelsBox, differenceBox] = await Promise.all(['levels', 'difference'].map(tool => page.locator(`[data-workspace-tool="${tool}"]`).boundingBox()));
assert.ok(levelsBox && differenceBox && differenceBox.y > levelsBox.y + levelsBox.height - 1 && Math.abs(differenceBox.x - levelsBox.x) < .5, 'not under Levels');
diff --git a/labs/nebula/packages/lab/browser/browser-lens-radial.ts b/labs/nebula/packages/lab/browser/browser-lens-radial.ts
new file mode 100644
index 0000000000..5428e06168
--- /dev/null
+++ b/labs/nebula/packages/lab/browser/browser-lens-radial.ts
@@ -0,0 +1,69 @@
+/**
+ * The live Radial profile panel in the real Reconstruction sidebar, for two image lenses.
+ *
+ * Read-only: it selects lenses through the page's own image picker and opens the panel, so the measurement
+ * arrives through the same route a person browsing the lab hits. Args: [base-url] [output-directory].
+ */
+import assert from 'node:assert/strict';
+import { mkdir, writeFile } from 'node:fs/promises';
+import { resolve } from 'node:path';
+import { chromium, type Page } from 'playwright';
+
+const base = process.argv[2] ?? 'http://127.0.0.1:4331';
+const output = resolve(process.argv[3] ?? '.local/nebula-lab/lens-radial');
+const lenses = ['horalek-widefield', 'vista-infrared'];
+await mkdir(output, { recursive: true });
+
+const errors: string[] = [], ignored: string[] = [], report: unknown[] = [];
+const browser = await chromium.launch({ headless: true });
+try {
+ const page: Page = await browser.newPage({ viewport: { width: 1500, height: 1050 } });
+ const note = (text: string) => { (/favicon/.test(text) ? ignored : errors).push(text); };
+ page.on('pageerror', error => note(String(error)));
+ page.on('console', message => { if (message.type() === 'error') note(`${message.text()} @ ${message.location().url || 'unknown'}`); });
+ page.on('response', response => { if (response.status() >= 400) note(`http ${response.status()} ${response.url()}`); });
+
+ const catalogue = await (await fetch(`${base}/__nebula/reconstruction?subjectId=lmc-clouds`)).json();
+ assert.ok(catalogue.finiteModel?.modelResultId, 'The LMC needs a discovered finite model to have lenses.');
+ await page.goto(`${base}/reconstruction?subject=lmc-clouds`);
+ await page.waitForSelector('#reconstruction-image option[value="horalek-widefield"]', { state: 'attached' });
+ for (const imageId of lenses) {
+ const expected = catalogue.candidates.find((row: { imageId: string }) => row.imageId === imageId);
+ assert.ok(expected?.prepared?.resultId, `No baked lens for ${imageId}.`);
+ await page.selectOption('#reconstruction-image', imageId);
+ await page.waitForFunction(id => document.querySelector('.reconstruction-controls')?.getAttribute('data-reconstruction-result') === id,
+ expected.prepared.resultId, { timeout: 120000 });
+
+ // The third round button, under Levels and Difference map.
+ const order = await page.locator('.workspace-tool-buttons [data-workspace-tool]').evaluateAll(nodes => nodes.map(node => (node as HTMLElement).dataset.workspaceTool));
+ assert.deepEqual(order, ['levels', 'difference', 'radial'], `tool order ${order.join(',')}`);
+ await page.locator('[data-workspace-tool="radial"]').click();
+ const panel = page.locator('.lens-radial-panel');
+ await panel.waitFor();
+ await page.waitForFunction(id => {
+ const node = document.querySelector('.lens-radial-panel');
+ return node?.dataset.lensRadialState === 'ready' && node.dataset.lensRadialResult === id;
+ }, expected.prepared.resultId, { timeout: 120000 });
+ const measured = await panel.evaluate(node => ({
+ resultId: (node as HTMLElement).dataset.lensRadialResult,
+ polylines: node.querySelectorAll('polyline').length,
+ canvas: node.querySelectorAll('canvas').length,
+ numbers: node.querySelector('.lens-radial-numbers')?.textContent?.trim() ?? '',
+ status: node.querySelector('.lens-radial-status')?.textContent?.trim() ?? '',
+ }));
+ assert.equal(measured.resultId, expected.prepared.resultId);
+ // Source, render and ratio strokes, drawn as SVG; never a canvas.
+ assert.equal(measured.polylines, 3, `${imageId} polylines ${measured.polylines}`);
+ assert.equal(measured.canvas, 0);
+ assert.match(measured.numbers, /half-light radius .+px.+rms log ratio .+worst/s);
+ assert.match(measured.status, /grid \d+×\d+ · footprint [\d,]+ px/);
+ await panel.screenshot({ path: `${output}/radial-${imageId}.png` });
+ await page.screenshot({ path: `${output}/lab-${imageId}.png` });
+ report.push({ imageId, ...measured });
+ // Close the panel so the next lens starts from the same closed state.
+ await page.locator('.workspace-tool-close').click();
+ }
+ assert.deepEqual(errors, [], `Console errors: ${errors.join(' | ')}`);
+} finally { await browser.close(); }
+await writeFile(`${output}/report.json`, JSON.stringify({ base, lenses, ignored, report }, null, 2) + '\n');
+console.log('LENS_RADIAL_BROWSER_OK', output, JSON.stringify(report.map((row: any) => [row.imageId, row.polylines])));
diff --git a/labs/nebula/packages/lab/src/cli/commands.ts b/labs/nebula/packages/lab/src/cli/commands.ts
index 1b75c402ad..bcac5904e4 100644
--- a/labs/nebula/packages/lab/src/cli/commands.ts
+++ b/labs/nebula/packages/lab/src/cli/commands.ts
@@ -87,5 +87,6 @@ export const labCommands: Record = {
"browser-reconstruction-reference": "labs/nebula/packages/lab/browser/browser-reconstruction-reference.ts",
"browser-reconstruction-tabs": "labs/nebula/packages/lab/browser/browser-reconstruction-tabs.ts",
"browser-lens-levels": "labs/nebula/packages/lab/browser/browser-lens-levels.ts",
- "browser-difference-map": "labs/nebula/packages/lab/browser/browser-difference-map.ts"
+ "browser-difference-map": "labs/nebula/packages/lab/browser/browser-difference-map.ts",
+ "browser-lens-radial": "labs/nebula/packages/lab/browser/browser-lens-radial.ts"
};
diff --git a/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.css b/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.css
new file mode 100644
index 0000000000..77887b8139
--- /dev/null
+++ b/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.css
@@ -0,0 +1,60 @@
+.lens-radial-legend {
+ display: flex;
+ align-items: center;
+ gap: 5px;
+ margin: 10px 0 4px;
+ font-size: 11px;
+ color: var(--text-secondary);
+}
+.lens-radial-key {
+ display: inline-block;
+ width: 14px;
+ height: 2px;
+}
+.lens-radial-legend .lens-radial-key:not(:first-child) {
+ margin-left: 8px;
+}
+.lens-radial-status,
+.lens-radial-note {
+ margin: 6px 0 0;
+ font-size: 10px;
+ line-height: 1.45;
+ color: var(--text-muted);
+ overflow-wrap: anywhere;
+}
+.lens-radial-status[data-error="true"] {
+ color: #e8998c;
+}
+.lens-radial-plot {
+ display: block;
+ width: 100%;
+ height: auto;
+ margin-top: 4px;
+ background: #0b0d11;
+ border-radius: 4px;
+}
+.lens-radial-plot .lens-radial-frame {
+ fill: #0b0d11;
+ stroke: #2a2f3a;
+ stroke-width: 1;
+}
+.lens-radial-plot .lens-radial-grid {
+ stroke: #1d222b;
+ stroke-width: 1;
+}
+.lens-radial-plot .lens-radial-zero {
+ stroke: #5b6472;
+ stroke-width: 1;
+}
+.lens-radial-plot .lens-radial-axis {
+ font-size: 7px;
+ fill: #9aa3b2;
+}
+.lens-radial-numbers {
+ margin: 6px 0 0;
+ font-family: ui-monospace, Menlo, monospace;
+ font-size: 10px;
+ line-height: 1.5;
+ color: #c8cfdb;
+ overflow-wrap: anywhere;
+}
diff --git a/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.tsx b/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.tsx
new file mode 100644
index 0000000000..630d6c0209
--- /dev/null
+++ b/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.tsx
@@ -0,0 +1,107 @@
+/**
+ * Live radial profile for the displayed image lens, drawn as inline SVG: does brightness fall off with radius
+ * the way the source does?
+ *
+ * Levels (a histogram) can match p50/p90/p99 exactly while the structure sits in the wrong place; the
+ * difference map shows where the error is but not its radial shape. This panel plots azimuthally averaged
+ * source and render brightness against radius from the footprint's own centroid, plus their ratio, so a
+ * brightness swap between the centre and an annulus — invisible to a histogram — reads as a curve that
+ * departs from the render÷source = 1 line. Every number comes from `/__nebula/reconstruction-radial`; nothing
+ * is measured here.
+ */
+import { useEffect, useState } from 'react';
+import type { LensRadialBin, LensRadialProfile } from '../../server/services/lens-radial.ts';
+import './lens-radial-panel.css';
+
+const WIDTH = 320, HEIGHT = 150;
+const PLOT = { x: 34, y: 8, w: 280, h: 74 };
+const RATIO = { x: 34, y: 94, w: 280, h: 40 };
+const SOURCE_STROKE = '#c9ced9', RENDER_STROKE = '#48c9c0', RATIO_STROKE = '#e0b34a';
+export const RADIAL_TOOLTIP = 'Radial profile · brightness vs radius, render against this image';
+/** Concentric-rings glyph for the floating Radial profile tool button. */
+export const RadialIcon = () =>
+
+
+ ;
+
+function polyline(points: string[], stroke: string) {
+ return points.length > 1
+ ? : null;
+}
+
+function RadialPlot({ profile }: { profile: LensRadialProfile }) {
+ const defined = profile.radialBins.filter((bin): bin is LensRadialBin & { sourceMean: number; renderMean: number } =>
+ bin.pixels > 0 && bin.sourceMean !== null && bin.renderMean !== null);
+ const peak = Math.max(1, ...defined.flatMap(bin => [bin.sourceMean, bin.renderMean]));
+ const maxRadius = Math.max(1, profile.maxRadius);
+ const at = (radius: number, value: number, box: typeof PLOT) =>
+ `${(box.x + radius / maxRadius * box.w).toFixed(1)},${(box.y + box.h - Math.max(0, value) / peak * box.h).toFixed(1)}`;
+ const sourceLine = defined.map(bin => at(bin.radius, bin.sourceMean, PLOT));
+ const renderLine = defined.map(bin => at(bin.radius, bin.renderMean, PLOT));
+ const ratioBins = profile.radialBins.filter((bin): bin is LensRadialBin & { ratio: number } => bin.ratio !== null && bin.ratio > 0);
+ const ratioPeak = Math.max(1, ...ratioBins.map(bin => Math.abs(Math.log(bin.ratio))));
+ const ratioLine = ratioBins.map(bin => `${(RATIO.x + bin.radius / maxRadius * RATIO.w).toFixed(1)},` +
+ `${(RATIO.y + RATIO.h / 2 - Math.log(bin.ratio) / ratioPeak * (RATIO.h / 2 - 2)).toFixed(1)}`);
+ return
+
+ {[.25, .5, .75].map(fraction => )}
+ {polyline(sourceLine, SOURCE_STROKE)}
+ {polyline(renderLine, RENDER_STROKE)}
+ brightness
+
+
+ {polyline(ratioLine, RATIO_STROKE)}
+ render ÷ source (log)
+ {[0, .5, 1].map(fraction => {Math.round(fraction * maxRadius)}px )}
+ ;
+}
+
+/** Measures while mounted; the floating Radial profile tool mounts it only while its panel is open. */
+export function LensRadialPanel({ resultId }: { resultId?: string }) {
+ const [state, setState] = useState<{ status: 'idle' | 'loading' | 'ready' | 'error'; profile?: LensRadialProfile; error?: string }>({ status: 'idle' });
+ useEffect(() => {
+ if (!resultId) { setState({ status: 'idle' }); return; }
+ const controller = new AbortController();
+ setState({ status: 'loading' });
+ void (async () => {
+ try {
+ const response = await fetch(`/__nebula/reconstruction-radial?resultId=${encodeURIComponent(resultId)}`, { signal: controller.signal });
+ const value = await response.json();
+ if (!response.ok) throw new Error(value.error ?? `Radial profile unavailable (HTTP ${response.status}).`);
+ if (value.schema !== 'cssearth-nebula-lens-radial@1' || value.resultId !== resultId || !Array.isArray(value.radialBins))
+ throw new TypeError('Invalid radial profile measurement.');
+ if (!controller.signal.aborted) setState({ status: 'ready', profile: value as LensRadialProfile });
+ } catch (error) {
+ if (!controller.signal.aborted) setState({ status: 'error', error: error instanceof Error ? error.message : String(error) });
+ }
+ })();
+ return () => controller.abort();
+ }, [resultId]);
+ const profile = state.profile;
+ return
+ {state.status === 'error' &&
{state.error}
}
+ {state.status === 'loading' &&
Measuring this lens…
}
+ {profile && <>
+
+ source image
+ render
+ ratio
+
+
+
+ half-light radius {profile.halfLightRadiusSource?.toFixed(1) ?? '—'}px → {profile.halfLightRadiusRender?.toFixed(1) ?? '—'}px
+ {' '}(×{profile.halfLightRadiusRatio?.toFixed(2) ?? '—'})
+ rms log ratio {profile.rmsLogRatio?.toFixed(2) ?? '—'} ·
+ {' '}worst {profile.worstBin ? `×${profile.worstBin.ratio.toFixed(2)} @${profile.worstBin.radius.toFixed(0)}px` : '—'}
+
+
+ {profile.imageId} · grid {profile.grid.width}×{profile.grid.height} · footprint {profile.footprintPixels.toLocaleString()} px ·
+ {' '}{profile.bins} bins to {profile.maxRadius.toFixed(0)}px
+
+
{profile.note}
+ >}
+
;
+}
diff --git a/labs/nebula/packages/lab/src/features/reconstruction/reconstruction-controls-react.tsx b/labs/nebula/packages/lab/src/features/reconstruction/reconstruction-controls-react.tsx
index 4b5c6d91cb..ec2672d752 100644
--- a/labs/nebula/packages/lab/src/features/reconstruction/reconstruction-controls-react.tsx
+++ b/labs/nebula/packages/lab/src/features/reconstruction/reconstruction-controls-react.tsx
@@ -10,6 +10,7 @@ import { readCloudAppearance, saveCloudAppearance } from './cloud-appearance-sto
import { CloudAppearanceControls } from './cloud-appearance-controls';
import { LensLevelsPanel, LevelsIcon, LEVELS_TOOLTIP } from './lens-levels-panel';
import { differenceTool } from './difference-map';
+import { LensRadialPanel, RadialIcon, RADIAL_TOOLTIP } from './lens-radial-panel';
import type { DifferenceOverlayState } from '../legacy-viewer/difference-plane';
import { saveLensSettings } from './lens-settings-export.ts';
import { ImageCredit } from '../workspace/image-credit';
@@ -276,10 +277,12 @@ export function ReconstructionControls({ context, viewerBusy: busy, onSelect, ca
{view.appearanceDirty && !view.running && !view.error && !view.processDisabled ? 'Changes ready · Preview to apply.' : view.text}
- {/* Levels and the difference map need a source image: no tools for the unpainted density or an unbaked lens. */}
+ {/* Levels, the difference map and the radial profile need a source image: no tools for the unpainted density or an unbaked lens. */}
,
panel: },
- ...differenceTool(view.lensResultId, difference, onDifference)] : []} />
+ ...differenceTool(view.lensResultId, difference, onDifference),
+ { id: 'radial', label: 'Radial profile', tooltip: RADIAL_TOOLTIP, icon: ,
+ panel: }] : []} />
actions.current.export?.()}>{exportLabel}
diff --git a/labs/nebula/packages/lab/src/server/services/density-reconstruction.ts b/labs/nebula/packages/lab/src/server/services/density-reconstruction.ts
index 2d8e3bf750..4393d500a4 100644
--- a/labs/nebula/packages/lab/src/server/services/density-reconstruction.ts
+++ b/labs/nebula/packages/lab/src/server/services/density-reconstruction.ts
@@ -19,6 +19,7 @@ import { lensSettingsHandler } from '../routes/lens-settings.ts';
import { discoverFiniteLensBundle, finiteModelStarsPath } from './finite-lens-bundles.ts';
import { lensLevels } from './lens-levels.ts';
import { lensDifferenceHandler } from './lens-difference.ts';
+import { lensRadialHandler } from './lens-radial.ts';
const hash = (bytes: Buffer | string) => createHash('sha256').update(bytes).digest('hex');
const cache = '.local/nebula-lab/reconstructions';
@@ -285,6 +286,8 @@ export function reconstructionPlugin(root: string): Plugin {
});
// Read-only difference map for one saved lens: `format=png` is the overlay image, otherwise its legend JSON.
server.middlewares.use('/__nebula/reconstruction-difference', lensDifferenceHandler(root, id => readPreparedReconstruction(root, id)));
+ // Read-only azimuthal radial profile for one saved lens: does brightness fall off with radius like the source?
+ server.middlewares.use('/__nebula/reconstruction-radial', lensRadialHandler(root, id => readPreparedReconstruction(root, id)));
server.middlewares.use('/__nebula/reconstruction', async (request, response) => {
try {
if (request.method !== 'GET') throw new TypeError('Use Preview to start a reconstruction.');
diff --git a/labs/nebula/packages/lab/src/server/services/lens-radial.test.ts b/labs/nebula/packages/lab/src/server/services/lens-radial.test.ts
new file mode 100644
index 0000000000..e5142e0ab5
--- /dev/null
+++ b/labs/nebula/packages/lab/src/server/services/lens-radial.test.ts
@@ -0,0 +1,182 @@
+import test from 'node:test';
+import assert from 'node:assert/strict';
+import sharp from 'sharp';
+import { createHash } from 'node:crypto';
+import { mkdtemp, mkdir, rm, writeFile } from 'node:fs/promises';
+import { tmpdir } from 'node:os';
+import { dirname, join } from 'node:path';
+import type { IncomingMessage, ServerResponse } from 'node:http';
+import { RADIAL_BINS, lensRadialProfile, lensRadialHandler, radialProfileStatistics } from './lens-radial.ts';
+import { lensLevelStatistics, type LensLevelGrid } from './lens-levels.ts';
+import type { PreparedReconstruction } from '../../features/reconstruction/reconstruction-types.ts';
+
+const SIZE = 41, CENTER = (SIZE - 1) / 2, WIDTH = SIZE, HEIGHT = SIZE, PIXELS = WIDTH * HEIGHT;
+const radiusAt = (index: number) => { const x = index % WIDTH, y = Math.floor(index / WIDTH); return Math.hypot(x - CENTER, y - CENTER); };
+/** A centrally concentrated brightness profile, like the branch's subject: bright core, smooth falloff. Always
+ * positive over this 41x41 domain (minimum ~22 at the corners, radius <= 28.3), so the render's chromaticity
+ * normalisation (level * raw/peak) never hits the "no colour information" zero-clamp — the one thing that would
+ * make a raw pixel value, rather than the deliberate render target below, decide what gets delivered. */
+const profile = (r: number) => Math.round(220 - 7 * r);
+const sourceValues = Array.from({ length: PIXELS }, (_, p) => profile(radiusAt(p)));
+/** The 5th-percentile sky pedestal `lensLevelPairs` computes from these same raw values (`quantile`, ./lens-levels.ts). */
+const SKY = [...sourceValues].sort((a, b) => a - b)[Math.floor(PIXELS * .05)]!;
+const sourceLevelAt = (p: number) => Math.max(0, sourceValues[p]! - SKY);
+const levelAtRadius = (r: number) => Math.max(0, profile(r) - SKY);
+
+/**
+ * A grid whose grey source is the profile above, and whose delivered render level at each pixel is exactly
+ * `targetRenderLevel(p)` (grey source ⇒ chromaticity is 1, so `untonedRender` reduces to the projection byte
+ * unchanged). This lets a control be defined directly in the same "source level" space `lensLevelPairs` reports,
+ * with no incidental sky-pedestal or clamp interaction to reason about.
+ */
+function buildGrid(targetRenderLevel: (p: number) => number): LensLevelGrid {
+ const projection = new Uint8Array(PIXELS), source = new Float64Array(PIXELS * 3), mask = new Uint8Array(PIXELS).fill(1);
+ for (let p = 0; p < PIXELS; p++) {
+ source.fill(sourceValues[p]!, p * 3, p * 3 + 3);
+ projection[p] = Math.min(255, Math.max(0, Math.round(targetRenderLevel(p))));
+ }
+ return { width: WIDTH, height: HEIGHT, projection, source, mask };
+}
+const material = { channelGain: null, toneCurve: null };
+const identity = (p: number) => sourceLevelAt(p);
+/** Reverses radius rank: the pixel at rank i (sorted by radius ascending) renders the source LEVEL of rank
+ * N-1-i. This is a bijection on the pixel domain over the exact array `lensLevelStatistics` histograms, so the
+ * multiset of rendered levels is EXACTLY the multiset of source levels — the histogram cannot tell the two
+ * apart — while spatially the profile is inverted: brightness moves from the centre to the rim. */
+const radiusOrder = Array.from({ length: PIXELS }, (_, p) => p).sort((a, b) => radiusAt(a) - radiusAt(b) || a - b);
+const sourceLevelByRank = radiusOrder.map(p => sourceLevelAt(p));
+const reversedTarget = new Array(PIXELS);
+radiusOrder.forEach((p, rank) => { reversedTarget[p] = sourceLevelByRank[sourceLevelByRank.length - 1 - rank]!; });
+const reversedByRadius = (p: number) => reversedTarget[p]!;
+/** Radially compressed by factor `k`: at a fixed radius the render reads like the source read at k·r, so k>1 falls off faster. */
+const compressedBy = (k: number) => (p: number) => levelAtRadius(radiusAt(p) * k);
+
+test('a render that matches its source at every radius reports agreement, not just an overall match', () => {
+ const stats = radialProfileStatistics(buildGrid(identity), material);
+ assert.equal(stats.footprintPixels, PIXELS);
+ assert.deepEqual(stats.centroid, { x: CENTER, y: CENTER });
+ const defined = stats.radialBins.filter(bin => bin.ratio !== null);
+ assert.ok(defined.length > RADIAL_BINS / 2, `too few defined bins: ${defined.length}`);
+ for (const bin of defined) assert.ok(Math.abs(bin.ratio! - 1) < .1, `bin @${bin.radius.toFixed(1)} ratio ${bin.ratio}`);
+ assert.ok(stats.rmsLogRatio! < .1, `rmsLogRatio ${stats.rmsLogRatio}`);
+ assert.ok(Math.abs(stats.halfLightRadiusRatio! - 1) < .1, `half-light ratio ${stats.halfLightRadiusRatio}`);
+});
+
+test('a centre <-> annulus brightness swap conserves the histogram exactly, and levels cannot see it, but the radial profile flags it', () => {
+ const grid = buildGrid(reversedByRadius);
+ // Proof the swap is histogram-blind: the delivered render levels are a permutation of the delivered source levels.
+ const levels = lensLevelStatistics(grid, material);
+ for (const channel of levels.channels) {
+ // The permutation conserves the exact multiset of levels, so every histogram-derived Levels number reads
+ // as a perfect match: identical bins, identical percentiles, identical worst bin, zero net bias.
+ assert.deepEqual([...channel.sourceHistogram], [...channel.renderHistogram], 'the two histograms must be identical bin-for-bin');
+ assert.ok(Math.abs(channel.p50Ratio - 1) < .01, `Levels p50 ratio should read matched, got ${channel.p50Ratio}`);
+ assert.ok(Math.abs(channel.p90Ratio - 1) < .01, `Levels p90 ratio should read matched, got ${channel.p90Ratio}`);
+ assert.equal(channel.worstBin.pixels, 0, `Levels' own worst-bin count should read 0, got ${channel.worstBin.pixels}`);
+ assert.ok(Math.abs(channel.signedMeanDelta) < .5, `Levels net bias should read ~0, got ${channel.signedMeanDelta}`);
+ }
+ const stats = radialProfileStatistics(grid, material);
+ const defined = stats.radialBins.filter(bin => bin.ratio !== null);
+ const core = defined[0]!, rim = defined.at(-1)!;
+ // The outermost bins clamp to a zero source mean (the bottom 5% the sky pedestal removes), so their ratio is
+ // null by design (a ratio against ~0 is meaningless) — inspect the outermost bin that still has a defined one.
+ assert.ok(core.ratio !== null && core.ratio < .6, `core ratio should read far below 1, got ${core.ratio}`);
+ assert.ok(rim.ratio !== null && rim.ratio > 1.5, `outer ratio should read far above 1, got ${rim.ratio}`);
+ assert.ok(stats.rmsLogRatio! > .3, `rmsLogRatio should be large, got ${stats.rmsLogRatio}`);
+ assert.ok(stats.worstBin !== null && Math.abs(Math.log(stats.worstBin.ratio)) > .3, JSON.stringify(stats.worstBin));
+ // The permutation also shows up as a pushed-out half-light radius: flux arrives late because it was moved outward.
+ assert.ok(stats.halfLightRadiusRatio! > 1.2, `half-light ratio should read pushed out, got ${stats.halfLightRadiusRatio}`);
+});
+
+test('a radially compressed render is caught by the half-light radius even though no single bin is wildly wrong', () => {
+ const matched = radialProfileStatistics(buildGrid(identity), material);
+ const compressed = radialProfileStatistics(buildGrid(compressedBy(1.4)), material);
+ assert.ok(Math.abs(matched.halfLightRadiusRatio! - 1) < .1);
+ assert.ok(compressed.halfLightRadiusRatio! < .85, `compressed half-light ratio ${compressed.halfLightRadiusRatio}`);
+ assert.ok(compressed.halfLightRadiusRatio! > 0, 'half-light ratio must stay positive');
+ // A milder compression reads as a milder shift, monotone in the compression factor.
+ const milder = radialProfileStatistics(buildGrid(compressedBy(1.15)), material);
+ assert.ok(milder.halfLightRadiusRatio! > compressed.halfLightRadiusRatio! && milder.halfLightRadiusRatio! < 1,
+ `milder ${milder.halfLightRadiusRatio} vs compressed ${compressed.halfLightRadiusRatio}`);
+});
+
+test('the footprint mask is respected, and empty or degenerate bins report null rather than NaN', () => {
+ // A small disk footprint inside the same field, with many more bins than the disk has room for at large radius.
+ const disk = buildGrid(identity);
+ const radius = 10;
+ for (let p = 0; p < PIXELS; p++) disk.mask[p] = radiusAt(p) <= radius ? 1 : 0;
+ const stats = radialProfileStatistics(disk, material, 40);
+ assert.ok(stats.footprintPixels < PIXELS, 'the mask must shrink the footprint');
+ const empty = stats.radialBins.filter(bin => bin.pixels === 0);
+ assert.ok(empty.length > 0, 'a 40-bin profile of a radius-10 disk must have some empty outer bins');
+ for (const bin of empty) assert.deepEqual([bin.sourceMean, bin.renderMean, bin.ratio, bin.signedDelta], [null, null, null, null]);
+ assert.doesNotMatch(JSON.stringify(stats), /NaN|Infinity/, 'no NaN/Infinity may leak into the JSON-serialisable result');
+ // Pixels outside the mask must not move the result: changing their values must not change any statistic.
+ const untouched = buildGrid(identity);
+ for (let p = 0; p < PIXELS; p++) untouched.mask[p] = radiusAt(p) <= radius ? 1 : 0;
+ for (let p = 0; p < PIXELS; p++) if (!untouched.mask[p]) { untouched.projection[p] = 255; untouched.source.fill(0, p * 3, p * 3 + 3); }
+ assert.deepEqual(radialProfileStatistics(untouched, material, 40), stats);
+});
+
+const digest = (bytes: Buffer) => createHash('sha256').update(bytes).digest('hex');
+/** A saved lens in the file shape `bakeFiniteLens` publishes, reused from the difference-map fixture pattern. */
+async function fixture() {
+ const root = await mkdtemp(join(tmpdir(), 'nebula-lens-radial-'));
+ const resultId = 'e'.repeat(64), directory = `.local/nebula-lab/reconstructions/${resultId}`;
+ const width = 32, height = 24, bounds = { min: [-4, -3], max: [4, 3] };
+ const artifacts: Record = {};
+ const save = async (path: string, bytes: Buffer) => {
+ await mkdir(dirname(join(root, directory, path)), { recursive: true }); await writeFile(join(root, directory, path), bytes);
+ artifacts[path] = { sha256: digest(bytes), bytes: bytes.length };
+ };
+ const cx = (width - 1) / 2, cy = (height - 1) / 2;
+ const grey = (i: number, j: number) => Math.max(0, Math.round(200 - 9 * Math.hypot(i - cx, j - cy)));
+ const projection = Buffer.alloc(width * height), rgb = Buffer.alloc(width * height * 3);
+ for (let j = 0; j < height; j++) for (let i = 0; i < width; i++) {
+ const value = grey(i, j); projection[j * width + i] = value; rgb.fill(value, (j * width + i) * 3, (j * width + i) * 3 + 3);
+ }
+ await save('source/fit-projection.png', await sharp(projection, { raw: { width, height, channels: 1 } }).png().toBuffer());
+ await save('source/registered-image.png', await sharp(rgb, { raw: { width, height, channels: 3 } }).png().toBuffer());
+ await save('source/original-image.png', await sharp(Buffer.alloc(width * height * 4, 255), { raw: { width, height, channels: 4 } }).png().toBuffer());
+ await save('source/provenance.json', Buffer.from(JSON.stringify({ densityProjection: { width, height, tangentBoundsKpc: bounds },
+ sourceRegistration: { tangentBoundsKpc: bounds } })));
+ await writeFile(join(root, directory, 'manifest.json'), JSON.stringify({
+ schema: 'cssearth-nebula-reconstruction-artifacts@1', id: `reconstruction-${resultId}`, artifacts }));
+ const prepared = { schema: 'cssearth-nebula-reconstruction@1', resultId, imageId: 'test-lens', subject: { id: `reconstruction-${resultId}`, directory },
+ finiteMaterial: { modelResultId: 'b'.repeat(64), sourceResultId: 'c'.repeat(64) } } as unknown as PreparedReconstruction;
+ return { root, prepared };
+}
+async function get(handler: ReturnType, url: string, method = 'GET') {
+ const headers: Record = {}, chunks: Buffer[] = [];
+ const response = { statusCode: 200, setHeader(name: string, value: string) { headers[name.toLowerCase()] = value; },
+ end(body?: string | Buffer) { if (body !== undefined) chunks.push(Buffer.from(body)); } };
+ await handler({ method, url } as IncomingMessage, response as unknown as ServerResponse);
+ return { status: response.statusCode, headers, body: Buffer.concat(chunks) };
+}
+
+test('the route answers the radial profile JSON for a saved lens whose render matches its own source', async () => {
+ const { root, prepared } = await fixture();
+ try {
+ const handler = lensRadialHandler(root, async id => { assert.equal(id, prepared.resultId); return prepared; });
+ const response = await get(handler, `/?resultId=${prepared.resultId}`);
+ assert.equal(response.status, 200); assert.equal(response.headers['content-type'], 'application/json');
+ const value = JSON.parse(response.body.toString());
+ assert.equal(value.schema, 'cssearth-nebula-lens-radial@1');
+ assert.equal(value.resultId, prepared.resultId);
+ assert.ok(Array.isArray(value.radialBins) && value.radialBins.length === RADIAL_BINS);
+ assert.ok(Math.abs(value.halfLightRadiusRatio - 1) < .2, JSON.stringify(value.halfLightRadiusRatio));
+ const direct = await lensRadialProfile(root, prepared);
+ assert.deepEqual(JSON.parse(JSON.stringify(direct)), value);
+ } finally { await rm(root, { recursive: true, force: true }); }
+});
+
+test('the route refuses writes, bad identities and non-lens results', async () => {
+ const { root, prepared } = await fixture();
+ try {
+ const handler = lensRadialHandler(root, async () => prepared);
+ assert.equal((await get(handler, `/?resultId=${prepared.resultId}`, 'POST')).status, 400);
+ assert.match((await get(handler, '/?resultId=nope')).body.toString(), /Invalid reconstruction identity/);
+ const density = lensRadialHandler(root, async () => ({ ...prepared, finiteMaterial: undefined }) as PreparedReconstruction);
+ assert.match((await get(density, `/?resultId=${prepared.resultId}`)).body.toString(), /baked image lens/);
+ } finally { await rm(root, { recursive: true, force: true }); }
+});
diff --git a/labs/nebula/packages/lab/src/server/services/lens-radial.ts b/labs/nebula/packages/lab/src/server/services/lens-radial.ts
new file mode 100644
index 0000000000..9846dda17c
--- /dev/null
+++ b/labs/nebula/packages/lab/src/server/services/lens-radial.ts
@@ -0,0 +1,136 @@
+/**
+ * Does brightness fall off with radius the way the source does? A histogram (Levels) is spatially blind: it
+ * can match p50/p90/p99 exactly while the structure sits in the wrong place. The difference map shows where
+ * the error is but does not quantify its radial shape. This measures the azimuthally averaged source and
+ * render brightness in radial bins from the footprint's own centroid, so a brightness swap between the centre
+ * and an annulus - invisible to the histogram, since it only rearranges where the same values sit - shows up
+ * as a per-bin ratio far from one.
+ *
+ * Reuses the same pinned grid, source/render pairs and material corrections `lens-levels.ts` and
+ * `lens-difference.ts` read (`lensLevelPairs`, `loadLensLevelGrid`), so the three diagnostics can never
+ * disagree about what "source" and "render" mean.
+ */
+import type { IncomingMessage, ServerResponse } from 'node:http';
+import type { PreparedReconstruction } from '../../features/reconstruction/reconstruction-types.ts';
+import { lensLevelPairs, loadLensLevelGrid, type LensLevelGrid, type LensLevelMaterial } from './lens-levels.ts';
+
+/** Radial bins from the footprint centroid out to the farthest covered pixel. */
+export const RADIAL_BINS = 24;
+/** Rec. 709 luma weights, applied to the 8-bit channel levels (same weights the difference map uses). */
+const LUMA = [.2126, .7152, .0722] as const;
+
+export interface LensRadialBin {
+ /** Bin centre radius, in grid pixels from the footprint centroid. */
+ radius: number;
+ pixels: number;
+ /** Null when the bin holds no covered pixels. */
+ sourceMean: number | null; renderMean: number | null;
+ /** Null when the source side of the bin averages to (near) zero, so a ratio would be meaningless. */
+ ratio: number | null;
+ signedDelta: number | null;
+}
+export interface LensRadialWorstBin { radius: number; ratio: number; pixels: number }
+export interface LensRadialProfile {
+ schema: 'cssearth-nebula-lens-radial@1';
+ resultId: string; imageId: string;
+ grid: { width: number; height: number };
+ bins: number;
+ footprintPixels: number;
+ /** The footprint's own geometric centroid, in grid pixel coordinates. Never brightness-weighted. */
+ centroid: { x: number; y: number };
+ maxRadius: number; binWidth: number;
+ radialBins: LensRadialBin[];
+ /** Radius enclosing half the total luminance, source and render separately; null with no positive flux. */
+ halfLightRadiusSource: number | null; halfLightRadiusRender: number | null;
+ /** Render half-light radius over source: 1 matched, below 1 render compressed toward the centre, above 1 expanded. */
+ halfLightRadiusRatio: number | null;
+ /** Pixel-count-weighted RMS of |log(ratio)| over bins with a defined ratio; 0 is a perfect radial match. */
+ rmsLogRatio: number | null;
+ /** The bin whose ratio departs furthest from one. Null when no bin has a defined ratio. */
+ worstBin: LensRadialWorstBin | null;
+ note: string;
+}
+
+/** The whole measurement, over one prepared grid. Kept pure so its tests never need a bake. */
+export function radialProfileStatistics(grid: LensLevelGrid, material: LensLevelMaterial = { channelGain: null, toneCurve: null },
+ bins = RADIAL_BINS): Pick {
+ if (!Number.isInteger(bins) || bins < 1) throw new TypeError('The radial profile needs at least one bin.');
+ const { width } = grid;
+ const pairs = lensLevelPairs(grid, material);
+ const footprint = pairs.covered.length;
+ if (!footprint) throw new TypeError('This lens image covers none of the model projection.');
+ let sx = 0, sy = 0;
+ for (const p of pairs.covered) { sx += p % width; sy += Math.floor(p / width); }
+ const centroid = { x: sx / footprint, y: sy / footprint };
+ const radii = new Float64Array(footprint), sourceLum = new Float64Array(footprint), renderLum = new Float64Array(footprint);
+ let maxRadius = 0;
+ pairs.covered.forEach((p, k) => {
+ const x = p % width, y = Math.floor(p / width), r = Math.hypot(x - centroid.x, y - centroid.y);
+ radii[k] = r; if (r > maxRadius) maxRadius = r;
+ let source = 0, render = 0;
+ for (let c = 0; c < 3; c++) { source += LUMA[c] * pairs.source[k * 3 + c]!; render += LUMA[c] * pairs.render[k * 3 + c]!; }
+ sourceLum[k] = source; renderLum[k] = render;
+ });
+ const binWidth = maxRadius > 0 ? maxRadius / bins : 1;
+ const sourceSum = new Float64Array(bins), renderSum = new Float64Array(bins), counts = new Int32Array(bins);
+ for (let k = 0; k < footprint; k++) {
+ const index = Math.min(bins - 1, Math.floor(radii[k]! / binWidth));
+ sourceSum[index]! += sourceLum[k]!; renderSum[index]! += renderLum[k]!; counts[index]! += 1;
+ }
+ const radialBins: LensRadialBin[] = [];
+ let worstBin: LensRadialWorstBin | null = null, worstDeviation = 0, weightedSquare = 0, weight = 0;
+ for (let i = 0; i < bins; i++) {
+ const pixels = counts[i]!, radius = (i + .5) * binWidth;
+ if (!pixels) { radialBins.push({ radius, pixels: 0, sourceMean: null, renderMean: null, ratio: null, signedDelta: null }); continue; }
+ const sourceMean = sourceSum[i]! / pixels, renderMean = renderSum[i]! / pixels, signedDelta = renderMean - sourceMean;
+ const ratio = sourceMean > 1e-6 ? renderMean / sourceMean : null;
+ radialBins.push({ radius, pixels, sourceMean, renderMean, ratio, signedDelta });
+ if (ratio !== null && ratio > 0) {
+ const deviation = Math.abs(Math.log(ratio));
+ weightedSquare += deviation * deviation * pixels; weight += pixels;
+ if (deviation > worstDeviation) { worstDeviation = deviation; worstBin = { radius, ratio, pixels }; }
+ }
+ }
+ const halfLight = (sums: Float64Array) => {
+ let total = 0; for (const value of sums) total += value;
+ if (!(total > 0)) return null;
+ let cumulative = 0;
+ for (let i = 0; i < bins; i++) { cumulative += sums[i]!; if (cumulative >= total / 2) return (i + .5) * binWidth; }
+ return maxRadius;
+ };
+ const halfLightRadiusSource = halfLight(sourceSum), halfLightRadiusRender = halfLight(renderSum);
+ const halfLightRadiusRatio = halfLightRadiusSource !== null && halfLightRadiusRender !== null && halfLightRadiusSource > 0
+ ? halfLightRadiusRender / halfLightRadiusSource : null;
+ return { footprintPixels: footprint, centroid, maxRadius, binWidth, radialBins,
+ halfLightRadiusSource, halfLightRadiusRender, halfLightRadiusRatio,
+ rmsLogRatio: weight > 0 ? Math.sqrt(weightedSquare / weight) : null, worstBin };
+}
+
+/** Measure one saved finite lens, from the same pinned grid the levels and difference routes read. */
+export async function lensRadialProfile(root: string, prepared: PreparedReconstruction, options: { bins?: number } = {}): Promise {
+ const { grid, material } = await loadLensLevelGrid(root, prepared);
+ const bins = options.bins ?? RADIAL_BINS;
+ const statistics = radialProfileStatistics(grid, material, bins);
+ return { schema: 'cssearth-nebula-lens-radial@1', resultId: prepared.resultId, imageId: prepared.imageId,
+ grid: { width: grid.width, height: grid.height }, bins, ...statistics,
+ note: 'Azimuthally averaged luminance in radial bins from the footprint’s own geometric centroid. Levels ' +
+ 'can match p50/p90/p99 while the structure sits in the wrong place; a per-bin ratio far from one, or a ' +
+ 'half-light radius ratio far from one, means the render’s radial shape differs even where its histogram does not.' };
+}
+
+/** GET `?resultId=` answers the radial profile JSON. Never writes. */
+export function lensRadialHandler(root: string, read: (resultId: string) => Promise) {
+ return async (request: IncomingMessage, response: ServerResponse) => {
+ try {
+ if (request.method !== 'GET') throw new TypeError('The radial profile is read-only.');
+ const url = new URL(request.url ?? '/', 'http://localhost'), id = url.searchParams.get('resultId') ?? '';
+ if (!/^[a-f0-9]{64}$/.test(id)) throw new TypeError('Invalid reconstruction identity.');
+ const value = await lensRadialProfile(root, await read(id));
+ response.setHeader('Cache-Control', 'no-store'); response.setHeader('Content-Type', 'application/json'); response.end(JSON.stringify(value));
+ } catch (error) {
+ response.statusCode = 400; response.setHeader('Content-Type', 'application/json');
+ response.end(JSON.stringify({ error: error instanceof Error ? error.message : String(error) }));
+ }
+ };
+}
From 8e76da330793a6655b93a7b4ed1002a686e19ecb Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sun, 20 Sep 2026 00:47:09 +0200
Subject: [PATCH 07/14] fix(nebula-lab): stop bundled command-line guards
firing in workers
---
labs/nebula/packages/lab/src/server/workers/run.ts | 9 ++++++++-
1 file changed, 8 insertions(+), 1 deletion(-)
diff --git a/labs/nebula/packages/lab/src/server/workers/run.ts b/labs/nebula/packages/lab/src/server/workers/run.ts
index 255f8d32a0..017974a46b 100644
--- a/labs/nebula/packages/lab/src/server/workers/run.ts
+++ b/labs/nebula/packages/lab/src/server/workers/run.ts
@@ -24,7 +24,14 @@ export async function runProcessingWorker(options: WorkerOptions
signal.throwIfAborted();
const outfile = resolve(root, `.local/nebula-lab/compiled/${name}-worker.mjs`);
await build({ entryPoints: [resolve(root, options.entry)], outfile, bundle: true,
- platform: 'node', format: 'esm', target: 'node22', packages: 'external' });
+ platform: 'node', format: 'esm', target: 'node22', packages: 'external',
+ // A command-line module guards its argument parsing with the standard
+ // `import.meta.url === pathToFileURL(process.argv[1]).href` entry-point check. Bundling rewrites
+ // `import.meta.url` to this worker's own URL, and the worker is spawned as `node `, so both
+ // sides become the same path and the guard evaluates true: the bundled module parses argv and throws
+ // its usage error before any worker code runs. A worker receives its request over stdio and never
+ // reads argv, so clearing argv[1] makes every such guard false for everything inside this bundle.
+ banner: { js: 'process.argv[1] = "";' } });
signal.throwIfAborted();
return new Promise((accept, reject) => {
const grouped = options.terminateGroup === true && process.platform !== 'win32';
From ce9fc4dd2ef7cfe6aa1b054abc767ed0f2201909 Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sun, 20 Sep 2026 01:16:30 +0200
Subject: [PATCH 08/14] docs(omega-centauri): source the cluster's measured 3D
shape from the literature
---
.../omega-centauri/physical-evidence.json | 194 +++++++++++++++++-
.../models/omega-centauri/shape-evidence.md | 150 ++++++++++++++
2 files changed, 342 insertions(+), 2 deletions(-)
create mode 100644 labs/nebula/models/omega-centauri/shape-evidence.md
diff --git a/labs/nebula/models/omega-centauri/physical-evidence.json b/labs/nebula/models/omega-centauri/physical-evidence.json
index 2fa0859e7c..cf2966b39a 100644
--- a/labs/nebula/models/omega-centauri/physical-evidence.json
+++ b/labs/nebula/models/omega-centauri/physical-evidence.json
@@ -1,8 +1,8 @@
{
"schema": "cssearth-nebula-physical-evidence@1",
"subjectId": "omega-centauri",
- "asOf": "2026-09-19",
- "status": "Evidence ledger and a derived spherical emissivity profile only. No baked reconstruction exists; see README.md for the blocked baking stage.",
+ "asOf": "2026-09-20",
+ "status": "Evidence ledger and a derived spherical emissivity profile only. No baked reconstruction exists; see README.md for the blocked baking stage. Extended 2026-09-20 with published measurements of the cluster's non-spherical 3D shape (flattening, inclination, rotation, profile family); see shape-evidence.md for the plain-language summary.",
"parameterClasses": {
"observed": "measured observable or metadata",
"published-model": "conditional literature inference, including a value we derived from measured inputs via a standard, non-object-specific mathematical relation",
@@ -58,6 +58,76 @@
"url": "https://doi.org/10.1111/j.1365-2966.2009.15708.x",
"locator": "Approximate relation between projected half-light radius and 3D half-mass radius for a broad family of density profiles",
"access": "Cited from general knowledge of the standard result, not refetched; used here only to fix one shape parameter, see evidence id projected-half-light-approx."
+ },
+ {
+ "id": "van-de-ven-2006-structure",
+ "title": "van de Ven, van den Bosch, Verolme & de Zeeuw (2006), The dynamical distance and intrinsic structure of the globular cluster omega Centauri",
+ "url": "https://doi.org/10.1051/0004-6361:20053061",
+ "locator": "A&A 445, 513-543; arXiv:astro-ph/0509228. Axisymmetric Schwarzschild orbit-superposition dynamical model combining line-of-sight velocities and internal proper motions.",
+ "access": "Abstract fetched live in this session (arxiv.org/abs/astro-ph/0509228). Full text not fetched, so the position angle of the model's symmetry axis and full parameter table were not independently confirmed beyond the abstract's headline numbers."
+ },
+ {
+ "id": "reijns-2006-radial-velocities",
+ "title": "Reijns, Seitzer, Arnold, Freeman, Ingerson, van den Bosch, van de Ven & de Zeeuw (2006), Radial velocities in the globular cluster omega Centauri",
+ "url": "https://arxiv.org/abs/astro-ph/0509227",
+ "locator": "A&A 445, 503-511. 2756 radial velocities for 1966 stars (1589 members), ARGUS/CTIO 4m.",
+ "access": "Abstract fetched live in this session."
+ },
+ {
+ "id": "haberle-2024-omegacat2",
+ "title": "Haberle, Neumayer, Bellini, Libralato et al. (2024), oMEGACat II: Photometry and proper motions for 1.4 million stars in Omega Centauri and its rotation in the plane of the sky",
+ "url": "https://arxiv.org/abs/2404.03722",
+ "locator": "ApJ 970, 192. Combined HST+MUSE proper-motion catalog, plane-of-sky rotation and inclination.",
+ "access": "Abstract fetched live in this session; gives inclination directly but the abstract text obtained did not state the rotation-axis position angle or the rotation amplitude in physical units, only the inclination."
+ },
+ {
+ "id": "bianchini-2013-flattening",
+ "title": "Bianchini, Varri, Bertin & Zocchi (2013), The flattening of globular clusters: internal rotation or velocity anisotropy?",
+ "url": "https://arxiv.org/abs/1302.0717",
+ "locator": "Axisymmetric rotating-anisotropic dynamical models applied to omega Centauri and 47 Tucanae.",
+ "access": "Abstract fetched live in this session."
+ },
+ {
+ "id": "pechetti-2024-muse-core",
+ "title": "Pechetti, Kamann, Krajnovic, Seth, van de Ven, Neumayer, Dreizler, Weilbacher, Martens & Wragg (2024), omega Centauri: a MUSE discovery of a counter-rotating core",
+ "url": "https://doi.org/10.1093/mnras/stae294",
+ "locator": "MNRAS 528, 4941-4957; arXiv:2401.15149.",
+ "access": "Abstract and title confirmed via live search in this session; not independently fetched in full."
+ },
+ {
+ "id": "trager-king-djorgovski-1995",
+ "title": "Trager, King & Djorgovski (1995), Catalogue of Galactic globular-cluster surface-brightness profiles",
+ "url": "https://ui.adsabs.harvard.edu/abs/1995AJ....109..218T",
+ "locator": "AJ 109, 218. Compiled surface-brightness profiles and King-model concentrations for 125 Milky Way globular clusters, including NGC 5139.",
+ "access": "Confirmed to exist and to cover this method via live search in this session; the specific NGC 5139 numeric table row (central surface brightness, concentration c, core radius) was not retrieved from the primary table itself."
+ },
+ {
+ "id": "mclaughlin-vandermarel-2005",
+ "title": "McLaughlin & van der Marel (2005), Resolved massive star clusters in the Milky Way and its satellites: brightness profiles and a catalogue of fundamental parameters",
+ "url": "https://arxiv.org/abs/astro-ph/0605132",
+ "locator": "ApJS 161, 304. Fits King (1966), Wilson (1975) and power-law models to photometric profiles of many clusters, including NGC 5139 (Table 9).",
+ "access": "Confirmed via live search in this session that NGC 5139 is fit and that the Wilson model fits it better than the King model; the specific fitted concentration and core-radius values in Table 9 were not retrieved in this session."
+ },
+ {
+ "id": "noyola-gebhardt-bergmann-2008",
+ "title": "Noyola, Gebhardt & Bergmann (2008), Gemini and Hubble Space Telescope evidence for an intermediate-mass black hole in omega Centauri",
+ "url": "https://arxiv.org/abs/0801.2782",
+ "locator": "ApJ 676, 1008. HST ACS integrated-light surface-brightness profile of the cluster center.",
+ "access": "Confirmed via live search in this session; central cusp slope value taken from search summary of the paper, not from a direct fetch of the paper text."
+ },
+ {
+ "id": "baumgardt-vasiliev-2021-paper",
+ "title": "Baumgardt & Vasiliev (2021), Accurate distances to Galactic globular clusters through a combination of Gaia EDR3, HST, and literature data",
+ "url": "https://doi.org/10.1093/mnras/stab1474",
+ "locator": "MNRAS 505, 5957-5977. NGC 5139 distance 5.426 +/- 0.047 kpc.",
+ "access": "Confirmed via live search in this session (not the same fetch as the existing baumgardt-2021-distances website source); corroborates rather than independently re-derives the ledger's existing 5430+/-50 pc value."
+ },
+ {
+ "id": "merritt-1997",
+ "title": "Merritt, Meylan & Mayor (1997), The stellar dynamics of omega Centauri",
+ "url": "https://ui.adsabs.harvard.edu/abs/1997AJ....114.1074M",
+ "locator": "AJ 114, 1074. Early line-of-sight rotation-curve measurement.",
+ "access": "Confirmed via live search in this session; peak rotation value taken from search summary, not from a direct fetch of the paper text."
}
],
"evidence": [
@@ -185,6 +255,126 @@
"unit": "n/a",
"scope": "Lab tooling",
"limitations": "The lab's only currently implemented method that treats an external prior as 'broad shape from the prior, detail fitted from the image' (simulation-guided-finite-emission@1 / two-scale) requires a pre-existing fixed-density Alignment reconstruction (a 'baselineId') built from an N-body particle simulation via prepare-full-density. No such simulation or baseline exists for a globular cluster, and building one would mean writing new object-preparation tooling, which this task explicitly excludes. See README.md."
+ },
+ {
+ "id": "inclination-van-de-ven-2006",
+ "classification": "published-model",
+ "sourceIds": ["van-de-ven-2006-structure"],
+ "quantity": "inclination of the cluster's symmetry axis to the line of sight",
+ "value": { "inclinationDeg": 50, "uncertaintyDeg": 4, "meanIntrinsicAxialRatio": 0.78, "axialRatioUncertainty": 0.03 },
+ "unit": "degrees",
+ "scope": "Whole cluster; axisymmetric Schwarzschild orbit-superposition model fit to line-of-sight velocities plus internal proper motions",
+ "limitations": "This is a dynamical-model result, not a direct geometric measurement: it assumes the cluster is exactly axisymmetric (oblate, one symmetry axis) and infers inclination from how well that assumed shape reproduces the observed kinematics. The same paper reports a dynamical distance of 4.8 +/- 0.3 kpc, which is in tension with the 5430 +/- 50 pc value used elsewhere in this ledger (Baumgardt & Vasiliev 2021); the two papers used independent methods and do not agree to within their stated errors, which is itself evidence that the axisymmetric model is not a perfect fit."
+ },
+ {
+ "id": "inclination-haberle-2024",
+ "classification": "published-model",
+ "sourceIds": ["haberle-2024-omegacat2"],
+ "quantity": "inclination, independent modern check",
+ "value": { "inclinationDeg": 43.9, "uncertaintyDeg": 1.3 },
+ "unit": "degrees",
+ "scope": "Inner few arcminutes, from combined HST+MUSE proper motions (plane-of-sky rotation)",
+ "limitations": "Differs from van de Ven et al. (2006)'s i = 50 +/- 4 deg by about 1.5-2 sigma using much better proper-motion data restricted to the inner region. Both cannot be simultaneously exactly right; this disagreement is direct evidence that the inclination of a single rigid oblate model is not fully converged in the published literature, only bracketed to roughly 40-55 degrees."
+ },
+ {
+ "id": "rotation-amplitude-reijns-2006",
+ "classification": "observed",
+ "sourceIds": ["reijns-2006-radial-velocities"],
+ "quantity": "line-of-sight rotation amplitude",
+ "value": { "amplitudeKmS": 6, "radiusRangeArcmin": [6, 10] },
+ "unit": "km/s",
+ "scope": "Radial-velocity survey, 1589 member stars",
+ "limitations": "Directly observed rotation signal (not a model output), but only along the line of sight; does not by itself give a 3D rotation axis or amplitude. Velocity dispersion drops from about 15 km/s in the inner few arcmin to about 6 km/s at 25 arcmin, so the rotation amplitude is a sizeable fraction of the local dispersion in the outer cluster."
+ },
+ {
+ "id": "rotation-amplitude-merritt-1997",
+ "classification": "observed",
+ "sourceIds": ["merritt-1997"],
+ "quantity": "earlier line-of-sight rotation amplitude estimate",
+ "value": { "amplitudeKmS": 7.9, "radiusPc": 11 },
+ "unit": "km/s",
+ "scope": "Earlier radial-velocity dataset, independent of Reijns et al. (2006)",
+ "limitations": "Recorded from a search-engine summary of the paper, not a direct fetch of the paper text in this session, so treat the exact 7.9 km/s figure as approximate pending primary verification. Given alongside rotation-amplitude-reijns-2006 to show two independent studies agree the amplitude is of order 6-8 km/s, not to imply a precise consensus number."
+ },
+ {
+ "id": "rotation-flattening-relation",
+ "classification": "published-model",
+ "sourceIds": ["bianchini-2013-flattening"],
+ "quantity": "whether rotation alone explains the photometric flattening",
+ "value": { "conclusion": "not fully; a purely rotationally-flattened oblate isotropic model under-/over-predicts the observed ellipticity profile at some radii, and matching it needs added radial velocity anisotropy" },
+ "unit": "n/a",
+ "scope": "Whole cluster, axisymmetric rotating-anisotropic dynamical models",
+ "limitations": "This is model-dependent evidence, not a raw measurement. Its direct consequence for this ledger: an oblate model built only from a measured ellipticity, position angle and inclination (isotropic King/Wilson made oblate) is known to be an approximation even under the axisymmetric assumption; velocity anisotropy, not just rotation, contributes to the real shape."
+ },
+ {
+ "id": "counter-rotating-core",
+ "classification": "observed",
+ "sourceIds": ["pechetti-2024-muse-core"],
+ "quantity": "kinematically distinct core",
+ "value": { "counterRotatesInner": true, "innerRadiusArcsec": 20, "innerRadiusPc": 0.5 },
+ "unit": "n/a",
+ "scope": "Innermost ~20 arcsec (~0.5 pc), MUSE narrow+wide field integral-field spectroscopy",
+ "limitations": "Direct observational evidence that the cluster's inner few tenths of a parsec rotate opposite to the bulk cluster rotation. This is incompatible with a single rigid-body oblate rotation pattern extended all the way to the center; any oblate King/Wilson model built from bulk ellipticity/PA/inclination necessarily misses this innermost feature, which occupies a negligible fraction of the cluster's volume but is a real, measured departure from simple oblate rotation."
+ },
+ {
+ "id": "kinematic-disk-component",
+ "classification": "published-model",
+ "sourceIds": ["van-de-ven-2006-structure"],
+ "quantity": "separate disk-like kinematic substructure",
+ "value": { "radialRangeArcmin": [1, 3], "massFraction": 0.04 },
+ "unit": "dimensionless (mass fraction)",
+ "scope": "Axisymmetric dynamical model, intermediate radii",
+ "limitations": "A model-inferred substructure (about 4% of total mass) in the same dynamical fit that gives the headline inclination number above; recorded because it is additional evidence that the cluster's true structure is not a single smooth oblate body, even though it is a small mass fraction and localized to a specific radial range."
+ },
+ {
+ "id": "king-wilson-fit-comparison",
+ "classification": "published-model",
+ "sourceIds": ["mclaughlin-vandermarel-2005", "trager-king-djorgovski-1995"],
+ "quantity": "which empirical profile family best fits the projected photometry",
+ "value": { "conclusion": "a Wilson (1975) model fits Omega Centauri's photometry better than a King (1962) model" },
+ "unit": "n/a",
+ "scope": "Whole-cluster projected surface-brightness photometry",
+ "limitations": "This directly bears on approximation A in king-abel-profile.json (equating the 3D core radius to a projected King core radius): the literature says the projected profile family itself is better represented by a Wilson model for this cluster, so a King-only fit is known to be a worse choice of family, independent of which core radius is used. The specific fitted McLaughlin & van der Marel (2005) Wilson-model concentration and core radius for NGC 5139 were not retrieved from their Table 9 in this session (see mclaughlin-vandermarel-2005 source access note) -- this is a named gap, not an authored substitute value."
+ },
+ {
+ "id": "central-cusp-noyola-2008",
+ "classification": "observed",
+ "sourceIds": ["noyola-gebhardt-bergmann-2008"],
+ "quantity": "central surface-brightness slope",
+ "value": { "logarithmicSlope": -0.08 },
+ "unit": "dimensionless (d log I / d log r)",
+ "scope": "Innermost several arcsec, HST ACS integrated light",
+ "limitations": "Shows a shallow rising cusp rather than a flat King core at the very center; part of the still-debated intermediate-mass-black-hole literature for this cluster (not adjudicated here), and irrelevant at the parsec scales the bulk King-Abel profile in this ledger targets, but recorded because it shows the innermost profile shape is not simply flat."
+ },
+ {
+ "id": "distance-confirmation-baumgardt-vasiliev-2021",
+ "classification": "observed",
+ "sourceIds": ["baumgardt-vasiliev-2021-paper"],
+ "quantity": "heliocentric distance, independent corroboration",
+ "value": { "distancePc": 5426, "uncertaintyPc": 47 },
+ "unit": "pc",
+ "scope": "Whole cluster, Gaia EDR3 + HST + literature combination",
+ "limitations": "Agrees with the ledger's existing 'distance' entry (5430 +/- 50 pc) to well within its stated uncertainty; recorded as a second, independently-titled peer-reviewed source rather than only the Baumgardt group's public website table, strengthening but not replacing the existing entry."
+ },
+ {
+ "id": "position-angle-not-sourced",
+ "classification": "authored",
+ "sourceIds": [],
+ "quantity": "status note: position angle of the major axis on the sky",
+ "value": { "status": "not solidly sourced in this session" },
+ "unit": "n/a",
+ "scope": "Whole cluster",
+ "limitations": "Search-engine summaries in this session surfaced several candidate values (roughly 100, 103 and 108 degrees) attributed inconsistently to different studies (White & Shawl 1987, van de Ven et al. 2006, and later isodispersion-contour analyses), and one general note that White & Shawl (1987) and Chen & Chen (2010) disagree on position angle. None of these numbers were confirmed against a primary paper fetched directly in this session, so none is recorded as a value here. This is a genuine, reported gap: do not treat any of the numbers above as sourced. A future session should fetch White & Shawl (1987) and a recent isophotal/isodispersion fit directly (e.g. via the MUSE or HST proper-motion datasets) to pin this down before building an oriented oblate model."
+ },
+ {
+ "id": "triaxiality-not-sourced",
+ "classification": "authored",
+ "sourceIds": [],
+ "quantity": "status note: dedicated triaxial (three-axis) shape measurement",
+ "value": { "status": "not found in this session" },
+ "unit": "n/a",
+ "scope": "Whole cluster",
+ "limitations": "No paper performing a dedicated triaxial ellipsoid fit (e.g. from isophote twist, or a full triaxial Schwarzschild model) to Omega Centauri was located in this session. The evidence that exists and bears on the question is all indirect: the counter-rotating core (counter-rotating-core), the separate disk-like kinematic component (kinematic-disk-component), the tension between two independent axisymmetric inclination fits (inclination-van-de-ven-2006 vs inclination-haberle-2024), and the reported White & Shawl / Chen & Chen position-angle disagreement (position-angle-not-sourced). Together these say the cluster is not a perfectly simple single-axis oblate rotator, but none of them is itself a measured triaxial shape. This is recorded as a gap, not filled with an authored triaxiality value."
}
]
}
diff --git a/labs/nebula/models/omega-centauri/shape-evidence.md b/labs/nebula/models/omega-centauri/shape-evidence.md
new file mode 100644
index 0000000000..a0e653f994
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/shape-evidence.md
@@ -0,0 +1,150 @@
+# Omega Centauri: measured three-dimensional shape
+
+This note collects what the primary literature actually measured about the shape of
+Omega Centauri (NGC 5139), separate from `king-abel-profile.json`'s spherical
+approximation. It exists so a future density model can be built from physics, not from
+the reference image. The image stays a scale/position check only. See
+`physical-evidence.json` for the underlying, individually cited entries; this file is
+the plain-language summary and says what is contested and what is missing.
+
+## The six questions
+
+### 1. Flattening (ellipticity) and its position angle
+
+Measured, but two different things have two different confidence levels.
+
+- **Ellipticity is measured and varies with radius.** White & Shawl (1987) found the
+ cluster's flattening (1 - b/a) grows from about 0.08 near the core to about 0.17-0.19
+ in the outskirts. This is already in the ledger (`ellipticity`).
+- **Position angle is a gap.** Search summaries in this session named three different
+ numbers (about 100, 103, 108 degrees) attached inconsistently to different studies,
+ and separately noted that White & Shawl (1987) and Chen & Chen (2010) disagree on
+ position angle. None of these numbers came from a primary paper this session actually
+ fetched and read. Rather than pick one, this is recorded as **not sourced**
+ (`position-angle-not-sourced`). Fetching White & Shawl (1987) and one modern
+ isophotal or isodispersion fit directly is the next step.
+
+### 2. Inclination of the symmetry axis
+
+Measured twice, by two independent methods, with a disagreement.
+
+- van de Ven, van den Bosch, Verolme & de Zeeuw (2006), *A&A* 445, 513
+ (doi:10.1051/0004-6361:20053061) built an axisymmetric Schwarzschild
+ orbit-superposition model from line-of-sight velocities plus internal proper
+ motions. Result: **i = 50 +/- 4 degrees**, mean intrinsic axial ratio 0.78 +/- 0.03.
+- Haberle, Neumayer, Bellini, Libralato et al. (2024), *ApJ* 970, 192
+ (oMEGACat II, arXiv:2404.03722), using much deeper combined HST+MUSE proper motions
+ in the inner few arcminutes, found **i = 43.9 +/- 1.3 degrees**.
+
+These disagree by roughly 1.5-2 sigma. Both are dynamical-model results (they assume
+axisymmetry and fit inclination to reproduce the kinematics), not a direct geometric
+reading, and both cannot be exactly right at once. Treat the inclination as bracketed
+to roughly 40-55 degrees, not pinned to one number.
+
+### 3. Surface-brightness profile and profile family
+
+Measured, and it changes the recommendation already baked into `king-abel-profile.json`.
+
+- Trager, King & Djorgovski (1995), *AJ* 109, 218 compiled surface-brightness profiles
+ and King-model concentrations for 125 clusters, including NGC 5139. This session
+ confirmed the paper and its coverage but did not retrieve the specific NGC 5139 table
+ row (concentration, core radius) from the primary table.
+- McLaughlin & van der Marel (2005), *ApJS* 161, 304 (arXiv:astro-ph/0605132) fit King,
+ Wilson and power-law models to many clusters' photometry, including NGC 5139, and
+ found **a Wilson (1975) model fits Omega Centauri better than a King (1962) model**.
+- Noyola, Gebhardt & Bergmann (2008), *ApJ* 676, 1008 (arXiv:0801.2782) used HST ACS
+ integrated light to show the innermost several arcseconds have a shallow rising cusp
+ (logarithmic slope about -0.08), not a flat core -- part of the still-open
+ intermediate-mass-black-hole question, and irrelevant at the parsec scale the
+ King-Abel profile targets, but evidence the very center is not flat either.
+
+Consequence: this ledger's existing approximation A (treating the 3D King core radius
+as the projected King core radius) rests on the *wrong profile family* for this
+cluster, independent of which core radius is plugged in. The right fix is a Wilson-model
+fit, not a King fit -- but this session could not retrieve McLaughlin & van der Marel's
+actual fitted Wilson parameters for NGC 5139, so that fix is not yet made
+(`king-wilson-fit-comparison`).
+
+### 4. Rotation
+
+Measured, and it only partly explains the flattening.
+
+- Reijns et al. (2006), *A&A* 445, 503 (arXiv:astro-ph/0509227): line-of-sight rotation
+ amplitude **about 6 km/s, peaking in the 6-10 arcmin radial zone**, from 2756 radial
+ velocities. Velocity dispersion itself drops from ~15 km/s in the inner few arcmin to
+ ~6 km/s at 25 arcmin, so rotation is a large fraction of the local dispersion in the
+ outskirts.
+- Merritt, Meylan & Mayor (1997), *AJ* 114, 1074: an earlier, independent estimate of
+ about 7.9 km/s at ~11 pc, in the same 6-8 km/s range (taken from a search summary,
+ not refetched -- treat as corroborating, not precise).
+- Bianchini, Varri, Bertin & Zocchi (2013) (arXiv:1302.0717) modeled the flattening
+ with rotating, anisotropic axisymmetric models and found rotation alone does not
+ reproduce the observed ellipticity profile at all radii; matching it needs added
+ radial velocity anisotropy.
+- Pechetti et al. (2024), *MNRAS* 528, 4941 (MUSE) found the innermost ~20 arcsec
+ (~0.5 pc) **counter-rotates** relative to the bulk cluster rotation.
+
+So: rotation is real and measured, and it is the dominant known driver of the
+flattening, but not the whole story -- velocity anisotropy contributes too, and the
+very center runs a different, opposite pattern from the bulk. An oblate model built
+from bulk rotation and ellipticity alone will not capture the innermost counter-rotating
+core (a negligible volume fraction) or the anisotropy-driven part of the ellipticity
+profile at intermediate radii.
+
+### 5. Distance
+
+Confirmed. Baumgardt & Vasiliev (2021), *MNRAS* 505, 5957 (a peer-reviewed paper,
+separate from the Baumgardt group's public parameter website already cited in the
+ledger) give **5426 +/- 47 pc**, in agreement with this ledger's existing
+5430 +/- 50 pc to well within its stated uncertainty. Nothing here changes that number;
+this is corroboration from a second, independently-titled source, not a correction. (Note:
+van de Ven et al. 2006's *dynamical* distance, 4.8 +/- 0.3 kpc, is noticeably lower and
+does not agree with either of these within its own error bars -- a reminder that the
+axisymmetric dynamical model is an approximation, not ground truth.)
+
+### 6. Triaxiality
+
+Not directly measured. No dedicated triaxial (three-axis) shape fit -- an isophote-twist
+analysis or a full triaxial Schwarzschild model -- was located for Omega Centauri in
+this session. What exists is indirect and suggestive, not conclusive:
+
+- the counter-rotating core (item 4),
+- a separate disk-like kinematic component contributing about 4% of total mass at
+ 1-3 arcmin, reported in the same van de Ven et al. (2006) dynamical fit,
+- the roughly 1.5-2 sigma disagreement between two independent axisymmetric inclination
+ fits (item 2),
+- the reported position-angle disagreement between studies (item 1).
+
+Together these say the cluster is not a perfectly simple single-axis oblate rotator.
+None of them is itself a triaxial shape measurement. This is recorded as a genuine gap
+(`triaxiality-not-sourced`), not filled with a plausible triaxial axis-ratio value.
+
+## What a density model built from this can and cannot claim
+
+**Can claim:** a spherical model is known-wrong at the 10-20% flattening level (measured);
+an oblate model, oriented by a measured ellipticity profile and an inclination bracketed
+to roughly 40-55 degrees, is a materially better approximation than the current spherical
+King-Abel profile, and the physical driver of most of the flattening (rotation) is
+independently measured, not assumed.
+
+**Cannot yet claim:** an oblate model has one settled inclination or position angle to
+adopt without picking between disagreeing papers; a Wilson-family fit specific to this
+cluster's actual measured concentration and core radius (only the *conclusion* that
+Wilson beats King is sourced, not the fitted numbers); that oblate is the whole story --
+the counter-rotating core and the anisotropy-driven part of the ellipticity profile mean
+even a well-oriented single-axis oblate King/Wilson model is a good bulk approximation,
+not an exact reproduction, and triaxiality has not been ruled in or out by a direct
+measurement.
+
+## Judgement: is oblate well enough constrained to build?
+
+Yes, as a **bulk approximation**, with an inclination range rather than a single value.
+An oblate King- or (better) Wilson-family model, flattened by the measured
+radius-dependent ellipticity and inclined somewhere in 40-55 degrees, is a materially
+truer model than the existing spherical one and is defensible from the sources above.
+It should not claim to be more than that: position angle needs a primary-source fetch
+before orientation on the sky can be trusted, the profile family should be Wilson (not
+King) once fitted parameters are found, and the model should say explicitly that it
+does not reproduce the innermost counter-rotating core or fully explain the ellipticity
+profile via rotation alone. The literature does not yet demand a full triaxial model --
+no measurement forces it -- but it also does not let an oblate model claim to be exact.
From f66262aa9df3dcc06563b7316eed7109cffed16a Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sun, 20 Sep 2026 01:21:29 +0200
Subject: [PATCH 09/14] fix(nebula-lab): give bundled modules their own
import.meta.url
---
labs/nebula/packages/lab/src/cli/build.ts | 26 +++++++++++++++++--
.../packages/lab/src/server/workers/run.ts | 9 +------
2 files changed, 25 insertions(+), 10 deletions(-)
diff --git a/labs/nebula/packages/lab/src/cli/build.ts b/labs/nebula/packages/lab/src/cli/build.ts
index 43159c41ba..9c80f35098 100644
--- a/labs/nebula/packages/lab/src/cli/build.ts
+++ b/labs/nebula/packages/lab/src/cli/build.ts
@@ -1,9 +1,14 @@
/** Bundle internal TypeScript owners; native and third-party dependencies remain external. */
-import { createRequire } from 'node:module';
+import { readFile } from 'node:fs/promises';
+import { createRequire, } from 'node:module';
import { resolve } from 'node:path';
-import { build, type BuildOptions } from 'esbuild';
+import { pathToFileURL } from 'node:url';
+import { build, type BuildOptions, type Loader } from 'esbuild';
+
+const LOADERS: Record = { '.ts': 'ts', '.mts': 'ts', '.cts': 'ts', '.tsx': 'tsx', '.js': 'js', '.mjs': 'js', '.cjs': 'js', '.jsx': 'jsx' };
export function buildLabModule(options: BuildOptions) {
+ const entries = new Set((options.entryPoints as string[] | undefined ?? []).map(entry => resolve(entry)));
return build({ ...options, plugins: [{
name: 'nebula-workspace-source-owners',
setup(builder) {
@@ -13,5 +18,22 @@ export function buildLabModule(options: BuildOptions) {
return { path: require.resolve(args.path) };
});
},
+ }, {
+ // Bundling rewrites every module's `import.meta.url` to the single output file, which breaks the
+ // standard `import.meta.url === pathToFileURL(process.argv[1]).href` entry-point guard: a bundled
+ // command-line module sees its own URL equal to the program being run and executes its argument
+ // parser, throwing a usage error before the real entry does anything. Give each bundled module its
+ // own source URL back, so only the true entry point still matches `process.argv[1]`.
+ name: 'nebula-module-source-url',
+ setup(builder) {
+ builder.onLoad({ filter: /\.[cm]?[jt]sx?$/ }, async args => {
+ if (entries.has(args.path)) return undefined;
+ const text = await readFile(args.path, 'utf8');
+ if (!text.includes('import.meta.url')) return undefined;
+ const extension = args.path.slice(args.path.lastIndexOf('.'));
+ return { contents: text.replaceAll('import.meta.url', JSON.stringify(pathToFileURL(args.path).href)),
+ loader: LOADERS[extension] ?? 'ts', resolveDir: args.path.slice(0, args.path.lastIndexOf('/')) };
+ });
+ },
}, ...(options.plugins ?? [])] });
}
diff --git a/labs/nebula/packages/lab/src/server/workers/run.ts b/labs/nebula/packages/lab/src/server/workers/run.ts
index 017974a46b..255f8d32a0 100644
--- a/labs/nebula/packages/lab/src/server/workers/run.ts
+++ b/labs/nebula/packages/lab/src/server/workers/run.ts
@@ -24,14 +24,7 @@ export async function runProcessingWorker(options: WorkerOptions
signal.throwIfAborted();
const outfile = resolve(root, `.local/nebula-lab/compiled/${name}-worker.mjs`);
await build({ entryPoints: [resolve(root, options.entry)], outfile, bundle: true,
- platform: 'node', format: 'esm', target: 'node22', packages: 'external',
- // A command-line module guards its argument parsing with the standard
- // `import.meta.url === pathToFileURL(process.argv[1]).href` entry-point check. Bundling rewrites
- // `import.meta.url` to this worker's own URL, and the worker is spawned as `node `, so both
- // sides become the same path and the guard evaluates true: the bundled module parses argv and throws
- // its usage error before any worker code runs. A worker receives its request over stdio and never
- // reads argv, so clearing argv[1] makes every such guard false for everything inside this bundle.
- banner: { js: 'process.argv[1] = "";' } });
+ platform: 'node', format: 'esm', target: 'node22', packages: 'external' });
signal.throwIfAborted();
return new Promise((accept, reject) => {
const grouped = options.terminateGroup === true && process.platform !== 'win32';
From 712e372fbccbcfeb8f8b51f5c96e5ca4e39c1892 Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sun, 20 Sep 2026 10:17:07 +0200
Subject: [PATCH 10/14] fix(nebula-lab): preserve source URLs and expose dark
radial defects
---
.github/workflows/universe.yml | 1 +
labs/nebula/models/omega-centauri/README.md | 18 +++---
labs/nebula/packages/lab/package.json | 1 +
.../nebula/packages/lab/src/cli/build.test.ts | 34 +++++++++++
labs/nebula/packages/lab/src/cli/build.ts | 41 ++++++++++---
.../reconstruction/lens-radial-panel.test.ts | 60 +++++++++++++++++++
.../reconstruction/lens-radial-panel.tsx | 7 ++-
.../src/server/services/lens-radial.test.ts | 11 ++++
.../lab/src/server/services/lens-radial.ts | 10 ++--
pnpm-lock.yaml | 3 +
10 files changed, 164 insertions(+), 22 deletions(-)
create mode 100644 labs/nebula/packages/lab/src/cli/build.test.ts
create mode 100644 labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.test.ts
diff --git a/.github/workflows/universe.yml b/.github/workflows/universe.yml
index 198661151b..5d69d0f949 100644
--- a/.github/workflows/universe.yml
+++ b/.github/workflows/universe.yml
@@ -599,6 +599,7 @@ jobs:
workspace-sections workspace-portals workspace-objects camera-model-panel image-appearance-panel
catalogue object-browser papers survey-images
geometry-model observation-alignment structures-model
+ build lens-levels lens-difference lens-radial lens-radial-panel
ci-guard:
name: Report the first CI failure
diff --git a/labs/nebula/models/omega-centauri/README.md b/labs/nebula/models/omega-centauri/README.md
index 720af8d5f7..f05c0cf716 100644
--- a/labs/nebula/models/omega-centauri/README.md
+++ b/labs/nebula/models/omega-centauri/README.md
@@ -27,7 +27,7 @@ extracted stellar residual, and that status is recorded rather than hidden.
50.88' x 50.88' (0.2099"/px), CC BY 4.0, credit ESO/INAF-VST/OmegaCAM (A. Grado, L.
Limatola/INAF-Capodimonte Observatory). Already acquired and hash-pinned via
`labs/nebula/sources/reference-images.json`; libwebp cannot encode the 14540px original for
-this crowded field at any quality, so the checked-in derivative is an 8192px-wide, 0.373"/px
+this crowded field at the tested qualities (80 and 92), so the ignored derivative is an 8192px-wide, 0.373"/px
WebP (`labs/nebula/sources/omega-centauri-vst.webp`). Angular scale must always be measured
from the native dimensions, never the derivative.
@@ -35,10 +35,11 @@ from the native dimensions, never the derivative.
The publisher's stated pointing center (RA 13:26:47.27, Dec -47:28:46.34, fetched live from
the ESO image page) agrees with the independently catalogued NGC 5139 center from SIMBAD (RA
-13:26:47.28, Dec -47:28:46.1, ref 2010AJ....140.1830G) to 0.24 arcsec -- sub-pixel at the
-native 0.21"/px scale. This is a whole-field pointing check, not a matched-star homography fit
-against an external catalogue; no per-star astrometric residuals were computed in this
-session, so the skill's full registration gate (METHOD.md step 2) is only partially satisfied.
+13:26:47.28, Dec -47:28:46.1, ref 2010AJ....140.1830G) to about 0.24 arcsec — roughly one pixel at the
+native 0.21"/px scale, rather than sub-pixel as the initial receipt called it. This initial whole-field pointing check was followed by matched-star
+fits against DSS2. The [exact-WCS report](dss2-fits-registration-report.json) records residuals
+of roughly 10–16 arcsec, too coarse for the native pixel scale. The full registration gate
+remains unmet; no accepted transform or bake is claimed.
## Method choice
@@ -77,7 +78,7 @@ measured departure from that assumption is Omega Centauri's flattening (elliptic
That flattening, not an invented shell or expansion law, is the honest limitation carried
through this recipe.
-## The derived profile (`king-abel-profile.json`, `king-abel-derivation.mjs`)
+## The derived profile (`king-abel-profile.json`, `king-abel-derivation.mts`)
1. Adopted the single-mass King (1962) empirical projected-density law as the profile family
(`physical-evidence.json` id `king-profile-family`).
@@ -150,8 +151,11 @@ mismatched schema.
- No baked reconstruction, hence no front/oblique/side inspection and no X/Z or Y/Z handoff
check could be performed.
-- Registration is a whole-field pointing check only, not a matched-star fit.
+- Matched-star registration against DSS2 remains too coarse for a pixel-level bake.
- Sphericity is known to be wrong at the ~10-20% flattening level; this profile cannot
represent that.
- The King concentration was solved from two 3D dynamical-model radii via an approximate
projected/3D scaling, not fit directly to photometry.
+- [Later literature evidence](shape-evidence.md) favors a Wilson profile and reports
+ radius-dependent flattening and competing inclinations. The spherical King table above
+ remains an exploratory derivation, not an accepted reconstruction prior.
diff --git a/labs/nebula/packages/lab/package.json b/labs/nebula/packages/lab/package.json
index d2b59764a2..8953e057e6 100644
--- a/labs/nebula/packages/lab/package.json
+++ b/labs/nebula/packages/lab/package.json
@@ -42,6 +42,7 @@
"@layoutit/polycss": "0.2.11",
"@cssearth/engine": "workspace:*",
"@cssearth/objects": "workspace:*",
+ "typescript": "5.9.3",
"vite": "7.3.1"
},
"devDependencies": {
diff --git a/labs/nebula/packages/lab/src/cli/build.test.ts b/labs/nebula/packages/lab/src/cli/build.test.ts
new file mode 100644
index 0000000000..c57c6813ad
--- /dev/null
+++ b/labs/nebula/packages/lab/src/cli/build.test.ts
@@ -0,0 +1,34 @@
+import assert from 'node:assert/strict';
+import { spawnSync } from 'node:child_process';
+import { mkdtemp, realpath, rm, writeFile } from 'node:fs/promises';
+import { tmpdir } from 'node:os';
+import { join } from 'node:path';
+import { pathToFileURL } from 'node:url';
+import test from 'node:test';
+import { buildLabModule } from './build.ts';
+
+test('bundles preserve imported source URLs and text while only the real entry runs its guard', async () => {
+ const directory = await realpath(await mkdtemp(join(tmpdir(), 'nebula-module-url-')));
+ const dependency = join(directory, 'dependency.ts'), entry = join(directory, 'entry.ts'), outfile = join(directory, 'bundle.mjs');
+ const guard = `import { pathToFileURL } from 'node:url';
+ const direct = process.argv[1] && import.meta.url === pathToFileURL(process.argv[1]).href;`;
+ try {
+ await writeFile(dependency, `${guard}
+ if (direct) throw new Error('An imported command ran its entry guard');
+ export const source = import.meta.url;
+ export const spaced = import . meta . url;
+ export const bracket = import.meta['url'];
+ export const literal = "import.meta.url";
+ export const template = \`literal import.meta.url / \${import.meta.url}\`;
+ export const pattern = /import.meta.url/.source;`);
+ await writeFile(entry, `${guard}
+ import { source, spaced, bracket, literal, template, pattern } from './dependency.ts';
+ if (direct) console.log(JSON.stringify({ source, spaced, bracket, literal, template, pattern }));`);
+ await buildLabModule({ entryPoints: [entry], outfile, bundle: true, platform: 'node', format: 'esm', packages: 'external' });
+ const result = spawnSync(process.execPath, [outfile], { encoding: 'utf8', timeout: 10_000 });
+ assert.equal(result.status, 0, result.stderr);
+ const source = pathToFileURL(dependency).href;
+ assert.deepEqual(JSON.parse(result.stdout), { source, spaced: source, bracket: source, literal: 'import.meta.url',
+ template: `literal import.meta.url / ${source}`, pattern: 'import.meta.url' });
+ } finally { await rm(directory, { recursive: true, force: true }); }
+});
diff --git a/labs/nebula/packages/lab/src/cli/build.ts b/labs/nebula/packages/lab/src/cli/build.ts
index 9c80f35098..419ddefb68 100644
--- a/labs/nebula/packages/lab/src/cli/build.ts
+++ b/labs/nebula/packages/lab/src/cli/build.ts
@@ -1,14 +1,39 @@
/** Bundle internal TypeScript owners; native and third-party dependencies remain external. */
-import { readFile } from 'node:fs/promises';
-import { createRequire, } from 'node:module';
-import { resolve } from 'node:path';
+import { readFile, realpath } from 'node:fs/promises';
+import { createRequire } from 'node:module';
+import { dirname, resolve } from 'node:path';
import { pathToFileURL } from 'node:url';
import { build, type BuildOptions, type Loader } from 'esbuild';
+import ts from 'typescript';
const LOADERS: Record = { '.ts': 'ts', '.mts': 'ts', '.cts': 'ts', '.tsx': 'tsx', '.js': 'js', '.mjs': 'js', '.cjs': 'js', '.jsx': 'jsx' };
-export function buildLabModule(options: BuildOptions) {
- const entries = new Set((options.entryPoints as string[] | undefined ?? []).map(entry => resolve(entry)));
+/** Replace only syntax: source text may also mention the expression inside strings, templates or regexes. */
+function sourceUrls(text: string, path: string): string {
+ const source = ts.createSourceFile(path, text, ts.ScriptTarget.Latest, true);
+ const replacements: { start: number; end: number }[] = [];
+ const visit = (node: ts.Node) => {
+ const expression = ts.isPropertyAccessExpression(node) && node.name.text === 'url' ? node.expression
+ : ts.isElementAccessExpression(node) && ts.isStringLiteralLike(node.argumentExpression) && node.argumentExpression.text === 'url'
+ ? node.expression : undefined;
+ if (expression && ts.isMetaProperty(expression) && expression.keywordToken === ts.SyntaxKind.ImportKeyword) {
+ replacements.push({ start: node.getStart(source), end: node.end });
+ } else ts.forEachChild(node, visit);
+ };
+ visit(source);
+ const url = JSON.stringify(pathToFileURL(path).href);
+ for (const { start, end } of replacements.reverse()) text = text.slice(0, start) + url + text.slice(end);
+ return text;
+}
+
+export async function buildLabModule(options: BuildOptions) {
+ const inputs = Array.isArray(options.entryPoints)
+ ? options.entryPoints.map(entry => typeof entry === 'string' ? entry : entry.in)
+ : Object.values(options.entryPoints ?? {});
+ const entries = new Set(await Promise.all(inputs.map(async entry => {
+ const path = resolve(options.absWorkingDir ?? process.cwd(), entry);
+ return options.preserveSymlinks ? path : realpath(path);
+ })));
return build({ ...options, plugins: [{
name: 'nebula-workspace-source-owners',
setup(builder) {
@@ -29,10 +54,10 @@ export function buildLabModule(options: BuildOptions) {
builder.onLoad({ filter: /\.[cm]?[jt]sx?$/ }, async args => {
if (entries.has(args.path)) return undefined;
const text = await readFile(args.path, 'utf8');
- if (!text.includes('import.meta.url')) return undefined;
+ if (!text.includes('import')) return undefined;
const extension = args.path.slice(args.path.lastIndexOf('.'));
- return { contents: text.replaceAll('import.meta.url', JSON.stringify(pathToFileURL(args.path).href)),
- loader: LOADERS[extension] ?? 'ts', resolveDir: args.path.slice(0, args.path.lastIndexOf('/')) };
+ return { contents: sourceUrls(text, args.path),
+ loader: LOADERS[extension] ?? 'ts', resolveDir: dirname(args.path) };
});
},
}, ...(options.plugins ?? [])] });
diff --git a/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.test.ts b/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.test.ts
new file mode 100644
index 0000000000..8ef49ded81
--- /dev/null
+++ b/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.test.ts
@@ -0,0 +1,60 @@
+import assert from 'node:assert/strict';
+import { createServer } from 'node:http';
+import test from 'node:test';
+import { build } from 'esbuild';
+import { chromium } from 'playwright';
+
+test('radial panel plots dark bins and replaces the measurement when the lens changes', async () => {
+ const root = process.cwd();
+ const fixture = await build({ stdin: { loader: 'tsx', resolveDir: root, contents: `
+ import { useState } from 'react'; import { createRoot } from 'react-dom/client';
+ import { LensRadialPanel } from './labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel';
+ function App() { const [id, setId] = useState('a'.repeat(64));
+ return <> setId('b'.repeat(64))}>Next lens >; }
+ createRoot(document.getElementById('fixture')).render( );` },
+ bundle: true, write: false, format: 'iife', platform: 'browser', outfile: 'fixture.js',
+ loader: { '.css': 'empty' }, jsx: 'automatic' });
+ const script = fixture.outputFiles[0]?.text;
+ assert.ok(script);
+ const server = createServer((request, response) => {
+ const url = new URL(request.url ?? '/', 'http://localhost');
+ if (url.pathname === '/__nebula/reconstruction-radial') {
+ const resultId = url.searchParams.get('resultId');
+ response.setHeader('Content-Type', 'application/json');
+ response.end(JSON.stringify({ schema: 'cssearth-nebula-lens-radial@1', resultId,
+ imageId: resultId?.startsWith('a') ? 'first-lens' : 'second-lens',
+ grid: { width: 10, height: 10 }, bins: 3, footprintPixels: 100, maxRadius: 5,
+ radialBins: [0, 1, 2].map(index => ({ radius: index + 1, pixels: 10,
+ sourceMean: 100, renderMean: index ? 100 : 0, ratio: index ? 1 : 0, signedDelta: index ? 0 : -100 })),
+ halfLightRadiusSource: 2, halfLightRadiusRender: 3, halfLightRadiusRatio: 1.5,
+ rmsLogRatio: 20, worstBin: { radius: 1, ratio: 0, pixels: 10 }, note: 'Test measurement' }));
+ } else {
+ response.setHeader('Content-Type', url.pathname === '/fixture.js' ? 'text/javascript' : 'text/html');
+ response.end(url.pathname === '/fixture.js' ? script : '
');
+ }
+ });
+ await new Promise(done => server.listen(0, '127.0.0.1', done));
+ const address = server.address();
+ assert.ok(address && typeof address !== 'string');
+ const browser = await chromium.launch({ headless: true });
+ try {
+ const page = await browser.newPage(), errors: string[] = [];
+ page.on('pageerror', error => errors.push(error.message));
+ await page.goto(`http://127.0.0.1:${address.port}`);
+ for (const id of ['a', 'b']) {
+ await page.waitForSelector(`[data-lens-radial-state="ready"][data-lens-radial-result="${id.repeat(64)}"]`);
+ const lines = page.locator('.lens-radial-plot polyline');
+ assert.equal(await lines.count(), 3);
+ const points = (await lines.nth(2).getAttribute('points'))?.split(' ') ?? [];
+ assert.equal(points.length, 3, 'the zero-ratio core must remain plotted');
+ assert.ok(Number(points[0]?.split(',')[1]) > Number(points[1]?.split(',')[1]), 'the dark core must be below the matched annulus');
+ assert.match(await page.locator('.lens-radial-numbers').innerText(), /worst ×0\.00/);
+ assert.match(await page.locator('.lens-radial-status').innerText(), id === 'a' ? /first-lens/ : /second-lens/);
+ if (id === 'a') await page.getByRole('button', { name: 'Next lens' }).click();
+ }
+ assert.deepEqual(errors, []);
+ } finally {
+ await browser.close();
+ await new Promise(done => server.close(() => done()));
+ }
+});
diff --git a/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.tsx b/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.tsx
index 630d6c0209..6d5eb40c39 100644
--- a/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.tsx
+++ b/labs/nebula/packages/lab/src/features/reconstruction/lens-radial-panel.tsx
@@ -38,10 +38,11 @@ function RadialPlot({ profile }: { profile: LensRadialProfile }) {
`${(box.x + radius / maxRadius * box.w).toFixed(1)},${(box.y + box.h - Math.max(0, value) / peak * box.h).toFixed(1)}`;
const sourceLine = defined.map(bin => at(bin.radius, bin.sourceMean, PLOT));
const renderLine = defined.map(bin => at(bin.radius, bin.renderMean, PLOT));
- const ratioBins = profile.radialBins.filter((bin): bin is LensRadialBin & { ratio: number } => bin.ratio !== null && bin.ratio > 0);
- const ratioPeak = Math.max(1, ...ratioBins.map(bin => Math.abs(Math.log(bin.ratio))));
+ const ratioBins = profile.radialBins.filter((bin): bin is LensRadialBin & { ratio: number } => bin.ratio !== null);
+ const logRatio = (ratio: number) => Math.log(Math.max(Number.EPSILON, ratio));
+ const ratioPeak = Math.max(1, ...ratioBins.map(bin => Math.abs(logRatio(bin.ratio))));
const ratioLine = ratioBins.map(bin => `${(RATIO.x + bin.radius / maxRadius * RATIO.w).toFixed(1)},` +
- `${(RATIO.y + RATIO.h / 2 - Math.log(bin.ratio) / ratioPeak * (RATIO.h / 2 - 2)).toFixed(1)}`);
+ `${(RATIO.y + RATIO.h / 2 - logRatio(bin.ratio) / ratioPeak * (RATIO.h / 2 - 2)).toFixed(1)}`);
return
diff --git a/labs/nebula/packages/lab/src/server/services/lens-radial.test.ts b/labs/nebula/packages/lab/src/server/services/lens-radial.test.ts
index e5142e0ab5..008d2a52c4 100644
--- a/labs/nebula/packages/lab/src/server/services/lens-radial.test.ts
+++ b/labs/nebula/packages/lab/src/server/services/lens-radial.test.ts
@@ -100,6 +100,17 @@ test('a radially compressed render is caught by the half-light radius even thoug
`milder ${milder.halfLightRadiusRatio} vs compressed ${compressed.halfLightRadiusRatio}`);
});
+test('a missing bright core remains the worst radial defect even when its render is exactly zero', () => {
+ const stats = radialProfileStatistics(buildGrid(p => radiusAt(p) < 8 ? 0 : identity(p)), material);
+ assert.ok(stats.radialBins.some(bin => bin.ratio === 0));
+ assert.equal(stats.worstBin?.ratio, 0);
+ assert.ok(stats.rmsLogRatio !== null && Number.isFinite(stats.rmsLogRatio) && stats.rmsLogRatio > 1);
+ const dark = radialProfileStatistics(buildGrid(() => 0), material);
+ assert.equal(dark.worstBin?.ratio, 0);
+ assert.ok(dark.rmsLogRatio !== null && Number.isFinite(dark.rmsLogRatio) && dark.rmsLogRatio > 1);
+ assert.equal(dark.halfLightRadiusRender, null);
+});
+
test('the footprint mask is respected, and empty or degenerate bins report null rather than NaN', () => {
// A small disk footprint inside the same field, with many more bins than the disk has room for at large radius.
const disk = buildGrid(identity);
diff --git a/labs/nebula/packages/lab/src/server/services/lens-radial.ts b/labs/nebula/packages/lab/src/server/services/lens-radial.ts
index 9846dda17c..ca1290ecd8 100644
--- a/labs/nebula/packages/lab/src/server/services/lens-radial.ts
+++ b/labs/nebula/packages/lab/src/server/services/lens-radial.ts
@@ -44,7 +44,7 @@ export interface LensRadialProfile {
halfLightRadiusSource: number | null; halfLightRadiusRender: number | null;
/** Render half-light radius over source: 1 matched, below 1 render compressed toward the centre, above 1 expanded. */
halfLightRadiusRatio: number | null;
- /** Pixel-count-weighted RMS of |log(ratio)| over bins with a defined ratio; 0 is a perfect radial match. */
+ /** Pixel-count-weighted RMS of |log(ratio)|; ratios below machine epsilon use that finite floor. */
rmsLogRatio: number | null;
/** The bin whose ratio departs furthest from one. Null when no bin has a defined ratio. */
worstBin: LensRadialWorstBin | null;
@@ -86,8 +86,9 @@ export function radialProfileStatistics(grid: LensLevelGrid, material: LensLevel
const sourceMean = sourceSum[i]! / pixels, renderMean = renderSum[i]! / pixels, signedDelta = renderMean - sourceMean;
const ratio = sourceMean > 1e-6 ? renderMean / sourceMean : null;
radialBins.push({ radius, pixels, sourceMean, renderMean, ratio, signedDelta });
- if (ratio !== null && ratio > 0) {
- const deviation = Math.abs(Math.log(ratio));
+ if (ratio !== null) {
+ // A completely missing bright bin is a maximal defect, not missing evidence. Keep JSON finite.
+ const deviation = Math.abs(Math.log(Math.max(Number.EPSILON, ratio)));
weightedSquare += deviation * deviation * pixels; weight += pixels;
if (deviation > worstDeviation) { worstDeviation = deviation; worstBin = { radius, ratio, pixels }; }
}
@@ -116,7 +117,8 @@ export async function lensRadialProfile(root: string, prepared: PreparedReconstr
grid: { width: grid.width, height: grid.height }, bins, ...statistics,
note: 'Azimuthally averaged luminance in radial bins from the footprint’s own geometric centroid. Levels ' +
'can match p50/p90/p99 while the structure sits in the wrong place; a per-bin ratio far from one, or a ' +
- 'half-light radius ratio far from one, means the render’s radial shape differs even where its histogram does not.' };
+ 'half-light radius ratio far from one, means the render’s radial shape differs even where its histogram does not. ' +
+ 'Log ratios use machine epsilon as a finite floor for a completely dark render bin.' };
}
/** GET `?resultId=` answers the radial profile JSON. Never writes. */
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 429ee92607..a484b4787e 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -187,6 +187,9 @@ importers:
react-dom:
specifier: 19.2.8
version: 19.2.8(react@19.2.8)
+ typescript:
+ specifier: 5.9.3
+ version: 5.9.3
vite:
specifier: 7.3.1
version: 7.3.1(@types/node@26.4.0)(jiti@2.6.1)(lightningcss@1.33.0)(yaml@2.9.0)
From 862cdbed96bbca43cdf1f13549c94e4ca501add3 Mon Sep 17 00:00:00 2001
From: Juan Cruz Fortunatti
Date: Sun, 20 Sep 2026 22:19:46 +0200
Subject: [PATCH 11/14] feat(nebula-lab): reconstruct Omega Centauri and budget
volume layers
---
.agents/skills/nebula-lab/SKILL.md | 29 +-
.github/workflows/universe.yml | 5 +-
labs/nebula/docs/emission-compiler.md | 10 +
labs/nebula/models/omega-centauri/README.md | 329 +-
.../models/omega-centauri/candidates.json | 6 +
.../models/omega-centauri/compiler.json | 15 +
.../evidence/2026-09-20/README.md | 44 +
.../evidence/2026-09-20/bake2-compile.json | 21 +
.../evidence/2026-09-20/bake3-browser.json | 236 +
.../evidence/2026-09-20/bake3-compile.json | 33 +
.../evidence/2026-09-20/bake3-identity.json | 7302 +++++++++++++++++
.../evidence/2026-09-20/captures.json | 96 +
.../evidence/2026-09-20/crab-comparison.json | 277 +
.../evidence/2026-09-20/front.png | Bin 0 -> 210440 bytes
.../evidence/2026-09-20/layer-bake.json | 1951 +++++
.../evidence/2026-09-20/layer-handoffs.json | 176 +
.../evidence/2026-09-20/legacy-handoffs.json | 38 +
.../2026-09-20/numerical-alignment.json | 971 +++
.../evidence/2026-09-20/oblique.png | Bin 0 -> 213943 bytes
.../evidence/2026-09-20/shape-moments.json | 271 +
.../evidence/2026-09-20/side-x.png | Bin 0 -> 210233 bytes
.../evidence/2026-09-20/side-y.png | Bin 0 -> 214418 bytes
.../evidence/2026-09-20/validation.json | 429 +
.../models/omega-centauri/mge-method.md | 80 +
.../omega-centauri/native-registration.json | 141 +
.../observation-structures.json | 7 +
.../models/omega-centauri/observations.json | 28 +-
.../omega-centauri/photometric-mge.json | 76 +
.../omega-centauri/physical-evidence.json | 467 +-
.../models/omega-centauri/shape-evidence.md | 204 +-
.../omega-centauri/verify-registration.mts | 138 +-
.../delivery/compact-compiler-export.ts | 4 +-
.../delivery/compact-compiler.test.ts | 43 +
.../delivery/compact-sampled.test.ts | 32 +-
.../application/delivery/nebula-frame.test.ts | 40 +
.../src/adapters/viewer/compiler-renderer.ts | 7 +-
.../viewer/shape-cloud-camera.test.ts | 68 +-
.../adapters/viewer/shape-cloud-renderer.ts | 6 +-
.../src/adapters/viewer/volume-renderer.ts | 29 +-
.../src/cli/commands/compile-candidates.ts | 9 +
.../src/features/compiler/compiler-panel.tsx | 9 +-
.../compiler/compiler-published.test.ts | 24 +-
.../features/compiler/compiler-published.ts | 19 +-
.../lab/src/features/compiler/model.ts | 10 +-
.../shape-cloud-photo-pose.test.ts | 12 +-
.../shape-cloud/shape-cloud-photo-pose.ts | 2 +-
.../src/features/shape-cloud/shape-cloud.css | 2 +-
.../lab/src/resources/model-catalogue.test.ts | 2 +-
.../server/workflows/compiler/bake.test.ts | 17 +
.../src/server/workflows/compiler/compile.ts | 50 +-
.../compiler/compiler-defaults.test.ts | 7 +
.../compiler/photometric-prior.test.ts | 94 +
.../workflows/compiler/photometric-prior.ts | 97 +
.../workflows/compiler/refresh-stars.ts | 6 +-
.../compiler/retained-material-bank.test.ts | 28 +-
.../fixtures/omega-centauri-native-stars.json | 494 ++
.../observations/registration.test.ts | 32 +
.../server/workflows/sampled-prior/compile.ts | 9 +-
.../sampled-prior/component-banks.test.ts | 85 +
.../workflows/sampled-prior/layout.test.ts | 10 +
.../packages/lab/src/state/subjects.json | 19 +
.../packages/reconstruction/package.json | 1 +
.../src/methods/inference/fit.ts | 6 +-
.../methods/inference/photometric-mge.test.ts | 74 +
.../src/methods/inference/photometric-mge.ts | 8 +
.../methods/inference/simulation-guided.ts | 33 +-
.../src/compact-inputs/compiler.ts | 21 +-
.../volume-bake/src/compact-inputs/sampled.ts | 81 +-
.../packages/volume-bake/src/compiler/bake.ts | 58 +-
.../src/compiler/compiler-sampling.test.ts | 75 +
.../src/compiler/component-layout.ts | 81 +-
.../src/compiler/retained-material.ts | 14 +-
.../src/slices/emission-layout.test.ts | 90 +
.../volume-bake/src/slices/emission.ts | 40 +-
.../volume-bake/src/slices/material.ts | 23 +-
labs/nebula/packages/volume-core/package.json | 5 +-
.../src/contracts/compiler-bake.ts | 16 +-
.../volume-core/src/contracts/emission.ts | 2 +
.../src/contracts/volume-slices.ts | 91 +-
.../coordinates/compiler-frame-layers.test.ts | 47 +
.../src/coordinates/compiler-frame.ts | 22 +-
.../src/fields/photometric-emission.ts | 75 +
.../volume-core/src/fields/photometric-mge.ts | 93 +
.../src/fields/retained-emission.ts | 4 +-
.../src/fields/simulation-envelope.ts | 6 +-
.../src/materials/material.test.ts | 14 +
.../src/materials/slab-material.ts | 30 +-
.../src/sampling/layer-optimization.test.ts | 90 +
.../src/sampling/layer-optimization.ts | 200 +
packages/catalog/src/nebulae.test.ts | 12 +-
packages/catalog/src/nebulae.ts | 11 +-
site/prepared-focus-card.mts | 2 +-
site/prepared-focus-object.mts | 4 +-
site/test/galactic-focus.test.mts | 38 +
site/test/prepared-focus-card.test.mts | 14 +
.../css/universe/catalog-marker.test.ts | 13 +-
src/renderers/css/universe/catalog-marker.ts | 4 +-
tools/nebula/application/nebula-frame.ts | 19 +-
tools/nebula/application/objects.ts | 4 +-
tools/prepare-navigation-destinations.mts | 2 +-
100 files changed, 15447 insertions(+), 622 deletions(-)
create mode 100644 labs/nebula/models/omega-centauri/candidates.json
create mode 100644 labs/nebula/models/omega-centauri/compiler.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/README.md
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/bake2-compile.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-browser.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-compile.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-identity.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/captures.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/crab-comparison.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/front.png
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/layer-bake.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/layer-handoffs.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/legacy-handoffs.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/numerical-alignment.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/oblique.png
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/shape-moments.json
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/side-x.png
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/side-y.png
create mode 100644 labs/nebula/models/omega-centauri/evidence/2026-09-20/validation.json
create mode 100644 labs/nebula/models/omega-centauri/mge-method.md
create mode 100644 labs/nebula/models/omega-centauri/native-registration.json
create mode 100644 labs/nebula/models/omega-centauri/observation-structures.json
create mode 100644 labs/nebula/models/omega-centauri/photometric-mge.json
create mode 100644 labs/nebula/packages/lab/src/server/workflows/compiler/photometric-prior.test.ts
create mode 100644 labs/nebula/packages/lab/src/server/workflows/compiler/photometric-prior.ts
create mode 100644 labs/nebula/packages/lab/src/server/workflows/observations/fixtures/omega-centauri-native-stars.json
create mode 100644 labs/nebula/packages/lab/src/server/workflows/sampled-prior/component-banks.test.ts
create mode 100644 labs/nebula/packages/reconstruction/src/methods/inference/photometric-mge.test.ts
create mode 100644 labs/nebula/packages/reconstruction/src/methods/inference/photometric-mge.ts
create mode 100644 labs/nebula/packages/volume-bake/src/compiler/compiler-sampling.test.ts
create mode 100644 labs/nebula/packages/volume-bake/src/slices/emission-layout.test.ts
create mode 100644 labs/nebula/packages/volume-core/src/coordinates/compiler-frame-layers.test.ts
create mode 100644 labs/nebula/packages/volume-core/src/fields/photometric-emission.ts
create mode 100644 labs/nebula/packages/volume-core/src/fields/photometric-mge.ts
create mode 100644 labs/nebula/packages/volume-core/src/sampling/layer-optimization.test.ts
create mode 100644 labs/nebula/packages/volume-core/src/sampling/layer-optimization.ts
create mode 100644 site/test/galactic-focus.test.mts
diff --git a/.agents/skills/nebula-lab/SKILL.md b/.agents/skills/nebula-lab/SKILL.md
index dde4ac36d7..573558ea4b 100644
--- a/.agents/skills/nebula-lab/SKILL.md
+++ b/.agents/skills/nebula-lab/SKILL.md
@@ -31,6 +31,12 @@ angle — leaves on every side. Slabs pack into per-axis atlases for delivery. I
handoff explicitly: brightness and colour agreement between banks is an acceptance criterion,
not a detail.
+New compiler and sampled-volume bakes plan at most **500 total XYZ slabs**, integrating all
+reference depth samples inside adaptive intervals. Preserve the saved plan for replay and
+all component mixtures. A planning estimate is not visual acceptance; keep the actual
+brightness/detail/handoff gates. Historical pinned deliveries remain unchanged. See
+`labs/nebula/docs/emission-compiler.md#automatic-layer-budget` before changing this step.
+
## Packages and boundaries
`labs/nebula/packages/{lab,volume-core,volume-bake,reconstruction,volume-viewer}`.
@@ -71,7 +77,28 @@ Pick by what the evidence supports, not by habit.
Two-scale in one line: broad light is `gain(x,y) × prior(x,y,z)` with `gain = fraction × blur(image) / blur(column)`; finite components fit the residual at prior-supported depths, so image brightness scales the envelope and never moves it in depth. Example recipe: `labs/nebula/models/smc/constrained/emission-envelope-ellipsoid.json`, with its method note beside it.
-**Lenses:** every image recolours one shared geometry, so switching lens changes colour, never shape. **The prior is a hypothesis, never a measurement** — prefer one that scores better against observations; for the SMC a VMC-constrained ellipsoid beat the tidal simulation (withheld deviance 0.457 vs 0.601).
+**RGB-only lenses:** every image recolours one shared geometry, so switching lens changes colour, never shape. **The prior is a hypothesis, never a measurement** — prefer one that scores better against observations; for the SMC a VMC-constrained ellipsoid beat the tidal simulation (withheld deviance 0.457 vs 0.601).
+
+## Numerical alignment before image inspection
+
+Diagnose alignment numerically before judging screenshots or rebaking. Use the configured
+lenses as independent checks of the shared coordinate transport; different spectral structures
+and brightness are expected, so do not force their pixels to match.
+
+- Check registered landmarks or matched stars in the common sky frame: translation, scale,
+ rotation, handedness, footprints and held-out residuals in pixels/arcseconds. Verify the same
+ points through source, prepared geometry and camera projection.
+- Compare shared geometry/alpha across RGB-only lenses. For declared component mixtures,
+ compare the shared frame, slab intervals and layout while preserving legitimate support
+ differences. Use spatial residuals, not histogram agreement, to establish alignment.
+- Separate registration error from material, sampling and browser compositing error. Compare
+ analytic projections, decoded baked values and rendered pixel measurements at the same
+ camera. Fix the owner identified by those measurements; do not compensate with a display
+ offset or assume that every failed image metric proves misregistration.
+- Run capture analysis locally and return compact numerical reports. Keep captures on disk;
+ do not routinely load them into model context. Inspect an image only for a named question
+ that the numbers cannot settle, a required final visual check, or an explicit user request;
+ use the smallest useful crop and fewest images.
## Matching a lens to its image
diff --git a/.github/workflows/universe.yml b/.github/workflows/universe.yml
index 740b905b6b..116e68c402 100644
--- a/.github/workflows/universe.yml
+++ b/.github/workflows/universe.yml
@@ -409,6 +409,7 @@ jobs:
run: >-
node --test tools/prepare-context-availability.test.mts
site/test/prepared-context-navigation.test.mts
+ site/test/galactic-focus.test.mts
site/test/prepared-focus-card.test.mts site/test/volume-presentation.test.mts
- name: Restore environment images and prepare minimap
run: |
@@ -591,7 +592,8 @@ jobs:
node labs/nebula/run.mts test
overlay-placement overlay-registration overlay-alignment
field-tilt emission-window component-material material
- point-projection cloud-inspection compact
+ point-projection cloud-inspection compact shape-cloud-camera
+ nebula-frame bake retained-material-bank optical-composite-preparation
detect-shapes structure-wavelets structure-map ridge-graph
material-solver shape-prior solver
acquisition footprint image-links image-ranking
@@ -602,6 +604,7 @@ jobs:
catalogue object-browser papers survey-images
geometry-model observation-alignment structures-model
build lens-levels lens-difference lens-radial lens-radial-panel
+ registration photometric-mge photometric-prior compiler-defaults simulation-guided compiler-published
ci-guard:
name: Report the first CI failure
diff --git a/labs/nebula/docs/emission-compiler.md b/labs/nebula/docs/emission-compiler.md
index 71cd7c7037..bae54cdd8c 100644
--- a/labs/nebula/docs/emission-compiler.md
+++ b/labs/nebula/docs/emission-compiler.md
@@ -30,6 +30,16 @@ After the first successful compile, fit controls apply automatically; only the n
Image-fit error, missing/excess signal and velocity residuals answer different questions. The fit's baseline RMSE is the zero-emission model on the same covered target pixels. Missing/excess fractions refer to normalized display signal; they are not mass fractions. A better projection cannot validate depth, and the display is not a hydrodynamic simulation. Inspect neutral front, oblique and side views as well as textured source comparisons before accepting any visual result.
+## Automatic layer budget
+
+New compiler and sampled-volume bakes allocate **at most 500 slabs in total across X, Y and Z** before transparent slabs are pruned. The field and its supported feature scale still determine the fine reference grid. An offline probe groups adjacent reference cells into wider intervals where less depth detail is needed. Each interval integrates every original reference midpoint, including faint emission, before encoding one RGBA8 texture. Material painting uses those same physical intervals and depth samples. This reduces retained planes and texture files; it does not promise proportionally less sampling work.
+
+The planner probes at 64 pixels wide with four image subpixel phases. Spatial variation and displacement from the reference planes estimate the extra error caused by grouping. Dynamic programming chooses complete partitions instead of making greedy splits, which can strand a concentrated feature inside a wide interval. It selects the fewest layers meeting a 1% planning estimate on each axis; if the budget prevents that, it minimizes the worst axis and records `budget-limited`. Sampled component mixtures plan once from an envelope covering every prepared lens, then share that partition.
+
+The saved sampling receipt contains the exact reference grid, intervals and planning report. `target-met` describes only this coarse estimate: subpixel features, material differences, RGBA8 rounding and browser compositing still require actual output checks. Inspect front, oblique and side views and compare both banks at each axis handoff. Keep the 5% relative-luminance and 4% normalized-L1 handoff gates unchanged. A failed result remains unaccepted; a completed bake or a small layer count cannot qualify it.
+
+Compact replay uses its saved partition exactly and never replans. Historical receipts without a partition retain their original uniform sampling and bytes, including deliveries exceeding 500 layers. Existing research recipes and repaint-only workflows keep their explicit sampling until separately requalified. The shared planner and grouped baker are available to those preparation owners without runtime sampling or geometry generation.
+
## Reproduce from a clean checkout
Requires the checkout containing the compiler, **Node 22.18+ or a supported newer release, pnpm 10.33.0, Python 3.9–3.12 with venv/pip**, internet access and disk space for native images and results. `python3` below must select that supported Python. The pinned TensorFlow release needs a wheel for the machine's OS/CPU. Run this complete sequence from the repository root; keep an existing lab server alive and omit only the final server command when it already runs.
diff --git a/labs/nebula/models/omega-centauri/README.md b/labs/nebula/models/omega-centauri/README.md
index f05c0cf716..ae21dfbaf1 100644
--- a/labs/nebula/models/omega-centauri/README.md
+++ b/labs/nebula/models/omega-centauri/README.md
@@ -1,161 +1,172 @@
# Omega Centauri (NGC 5139)
-Status: **evidence, registration check and a derived spherical emissivity profile only.
-No baked volumetric result exists yet.** Baking is blocked by a lab-tooling gap, recorded
-below and in `physical-evidence.json` (`no-3d-baking-baseline`). This is not a subject
-registered in `subjects.json`: the project contract forbids fabricating a fallback scene,
-and there is no prepared object here for the app to mount.
-
-## What this object is
-
-Omega Centauri is a globular cluster (~10 million stars, no diffuse gas). The lab's scope
-explicitly covers it ("the globulars were nebulae until telescopes resolved their stars"),
-baking its **integrated starlight** as an emission field because PolyCSS cannot render 10
-million point sources. Any future viewer-facing label must call this integrated light, never
-resolved stars.
-
-**Star removal was not run and must not be run.** NOX star removal deletes stars as
-contamination; here the stars are the entire emission. This recipe uses the same
-explicit preservation treatment the skill already applies to non-stellar sources
-(`AGENTS.md`, "Never erase a pulsar, wind knot or radio filament through stellar
-removal"): the registered image is used directly as the diffuse input, with zero
-extracted stellar residual, and that status is recorded rather than hidden.
-
-## Source image
-
-`eso1119b`, ESO VST/OmegaCAM, optical G/R/I (480/625/770 nm), native 14540x14540 px over
-50.88' x 50.88' (0.2099"/px), CC BY 4.0, credit ESO/INAF-VST/OmegaCAM (A. Grado, L.
-Limatola/INAF-Capodimonte Observatory). Already acquired and hash-pinned via
-`labs/nebula/sources/reference-images.json`; libwebp cannot encode the 14540px original for
-this crowded field at the tested qualities (80 and 92), so the ignored derivative is an 8192px-wide, 0.373"/px
-WebP (`labs/nebula/sources/omega-centauri-vst.webp`). Angular scale must always be measured
-from the native dimensions, never the derivative.
-
-## Registration (`registration.json`)
-
-The publisher's stated pointing center (RA 13:26:47.27, Dec -47:28:46.34, fetched live from
-the ESO image page) agrees with the independently catalogued NGC 5139 center from SIMBAD (RA
-13:26:47.28, Dec -47:28:46.1, ref 2010AJ....140.1830G) to about 0.24 arcsec — roughly one pixel at the
-native 0.21"/px scale, rather than sub-pixel as the initial receipt called it. This initial whole-field pointing check was followed by matched-star
-fits against DSS2. The [exact-WCS report](dss2-fits-registration-report.json) records residuals
-of roughly 10–16 arcsec, too coarse for the native pixel scale. The full registration gate
-remains unmet; no accepted transform or bake is claimed.
-
-## Method choice
-
-The skill's method table (`nebula-lab/SKILL.md`) has five entries. The distinguishing fact
-for this object is a **measured radial structural profile under an assumption of spherical
-symmetry**, which is a different evidence shape than every other configured object:
-
-- **Repaint** and **fixed-density finite region** are legacy/superseded and, like the
- simulation-guided path below, are only implemented against an existing N-body particle
- simulation (Magellanic Cloud only).
-- **Axial symmetry** (Wenger tomography) fits an inclined, expanding, axisymmetric shell --
- the planetary-nebula geometry. Omega Centauri has no polar axis, no expansion, and is
- (to first order) spherical, not axisymmetric-with-inclination. Using this method would
- transfer M2-9's shell/expansion machinery onto an unrelated object, which the skill
- forbids.
-- **Sampled / compiler** (`docs/sampled-volumes.md`) is the closest-sounding match ("qualified
- spatial tables, symmetry ... constrains real 3D structure from measurements"), but its only
- implementation (`packages/lab/src/server/workflows/sampled-prior/compile.ts`) hard-codes a
- two-component `ejecta`/`pwn` (pulsar-wind-nebula) mixture and torus/jet/ellipsoid analytic
- terms. That is Crab-specific physics, not a generic point-table loader; forcing a globular
- cluster through it would be exactly the "transfer another object's shell" mistake the skill
- warns against.
-- **Two-scale finite emission** (`simulation-guided-finite-emission@1`) is named as "the
- current default for clouds and galaxies" and its own description -- `gain(x,y) x
- prior(x,y,z)`, broad shape from a prior, detail fitted from the image -- is the correct
- physical shape for this object: a spherically symmetric, radially declining light
- distribution (the prior) recoloured and detailed by the actual photograph (the image). This
- is the method I chose.
-
-**Why sphericity is the right assumption to make explicit, and Abel inversion is the right
-tool:** for a spherically symmetric source, the projected (2D) surface-brightness profile
-determines the 3D emissivity uniquely via the Abel transform -- no extra depth assumption is
-needed, unlike every other object in this lab where an image alone cannot see depth. The real,
-measured departure from that assumption is Omega Centauri's flattening (ellipticity
-~0.08-0.19 depending on radius and source, White & Shawl 1987 and later work; it rotates).
-That flattening, not an invented shell or expansion law, is the honest limitation carried
-through this recipe.
-
-## The derived profile (`king-abel-profile.json`, `king-abel-derivation.mts`)
-
-1. Adopted the single-mass King (1962) empirical projected-density law as the profile family
- (`physical-evidence.json` id `king-profile-family`).
-2. Fixed its core radius to the measured 3D core radius, 4.54 pc (approximation A -- no
- independent photometric King fit for Omega Centauri was located in this session, so the 3D
- and projected core radii are treated as equal).
-3. Solved for the concentration (`rt/rc`) so the profile's projected half-light radius equals
- 0.75 x the measured 3D half-mass radius, 0.75 x 10.42 = 7.815 pc (approximation B, a
- standard projected/3D half-light scaling of the Wolf et al. 2010 type). This gives
- `rt/rc = 10.221` (`log10 c = 1.01`), tidal radius 46.4 pc.
-4. Abel-inverted the resulting `Sigma(R)` numerically (`rho(r) = -(1/pi) integral_r^rt
- dSigma/dR / sqrt(R^2-r^2) dR`, via the standard `R = sqrt(r^2+u^2)` substitution) on a
- 201-point radial grid. Convergence was checked at 2,000/8,000/32,000/128,000 quadrature
- points per radius; the tabulated 20,000-point values agree with the 128,000-point values to
- better than 6 significant figures everywhere sampled.
-5. Result: a centrally peaked, monotonically declining relative emissivity (1 at r=0, 0.32 at
- the core radius, 0.070 at the half-mass radius, ~0 by the tidal radius). See the table for
- the full 201-point radius/emissivity pair list.
-
-This profile is classified `published-model` in the evidence ledger: it is a deterministic,
-non-object-specific mathematical consequence of measured/published structural numbers plus a
-standard textbook profile family, not an authored shape. The two approximations that fix its
-two free parameters (A and B above) are each individually flagged `authored`/`published-model`
-and are small compared to the sphericity assumption itself.
-
-## What is authored, and what could not be sourced
-
-- **Authored:** treating the 3D core radius as the projected core radius (approximation A);
- using the Wolf-type 0.75 projected/3D half-light ratio instead of an Omega-Centauri-specific
- value (approximation B); the display-only peak normalization of the emissivity table.
-- **Could not source in this session:** an independent photometric King-model fit (projected
- core radius, concentration) specific to Omega Centauri -- I did not find or fetch one, so I
- built the profile from the given 3D structural radii instead of overriding them with an
- authored concentration value. I also did not re-fetch the Baumgardt & Hilker (2018) or
- Baumgardt et al. (2021) papers themselves; their quoted numbers are taken from the task brief
- and were not independently re-derived from primary tables.
-- Total mass, M/L and central velocity dispersion are recorded in the ledger but unused by this
- light-only recipe; they matter for the mass-segregation caveat (light and mass radii can
- differ) but are not needed to bake a display emission field.
-
-## Why there is no baked result (the blocker)
-
-The two-scale method's only current implementation
-(`packages/lab/src/cli/commands/simulation-guided-reconstruction.ts`) requires a `baselineId`:
-a pre-existing, completed `.local/nebula-lab/reconstructions/` fixed-density reconstruction.
-Producing that baseline requires the subject to already carry a `density`-type configuration
-(`subject.density.overlays` and `.processingPlan`, checked in
-`server/services/density-reconstruction.ts`), which in turn is only ever built from an N-body
-stellar-particle simulation via `prepare-full-density.ts` (its recipe format is Magellanic
-Cloud-simulation-specific: paper-frame rotation, MW center subtraction, a centered-particle
-`.f32` file). No such simulation exists, or should be authored, for a globular cluster --
-inventing an N-body model of Omega Centauri to satisfy this dependency would be exactly the
-kind of fabricated evidence the skill forbids.
-
-The `sampled-prior` compiler path is Crab-specific (see Method choice above) and the
-general-purpose `compile-nebula` image-only compiler does not currently accept a
-spherically-symmetric radial-profile depth scaffold at all -- only an image-only isotropic
-halo tied to the image's own second moment (which would silently discard this profile), a
-velocity scaffold, or an irregular height-surface recipe (Orion/Carina's illuminated-front
-geometry, also the wrong shape for a sphere).
-
-Closing this gap needs either (a) a small, generic addition to the two-scale path so an
-analytic/tabulated spherical prior can supply its own frame/bounds without an N-body baseline,
-or (b) a new compiler depth-scaffold kind for a measured radial profile. Both are new lab
-capabilities, which this task's brief explicitly excluded ("No new tools"). I stopped here
-rather than either fabricating a baseline simulation or forcing this profile through a
-mismatched schema.
-
-## Known problems
-
-- No baked reconstruction, hence no front/oblique/side inspection and no X/Z or Y/Z handoff
- check could be performed.
-- Matched-star registration against DSS2 remains too coarse for a pixel-level bake.
-- Sphericity is known to be wrong at the ~10-20% flattening level; this profile cannot
- represent that.
-- The King concentration was solved from two 3D dynamical-model radii via an approximate
- projected/3D scaling, not fit directly to photometry.
-- [Later literature evidence](shape-evidence.md) favors a Wilson profile and reports
- radius-dependent flattening and competing inclinations. The spherical King table above
- remains an exploratory derivation, not an accepted reconstruction prior.
+**Blocked at visual qualification; not delivered.** Omega Centauri is registered in
+the Lab and uses a published oblate MGE light profile. Bake 1 completed but was
+visually rejected. Bake 2 produced neutral geometry, then failed during lens
+painting. Bake 3 completed for local inspection after the material roundoff fix;
+its unchanged neutral geometry still fails the axis-handoff image gate. A separately
+authorized adaptive-layer bake reduces retained slabs from 779 to 459 but also
+fails that gate; see the layer-optimization experiment below. No app
+promotion, merge, or Omega R2 publication/restoration has been completed.
+
+## Current method
+
+[photometric-mge.json](photometric-mge.json) transcribes the eight projected
+Gaussians in D’Souza & Rix (2013), Table 1, with a pinned source PDF and
+[physical evidence](physical-evidence.json). The selected conditional model uses
+PA 100° east of north, inclination 50°, and distance 5426 ± 47 pc. Its near/far
+tilt sign and six-sigma numerical cutoff are authored; they are not measurements.
+[The method note](mge-method.md) gives units, deprojection and competing constraints.
+
+The generic photometric compiler separates a smooth MGE envelope from finite
+positive image residuals. The current candidate uses an authored envelope fraction
+of 0.95, an 8-fit-pixel smoothing scale, and a maximum of 4096 residual features.
+Each residual receives one conditional depth and finite XYZ material; each optical
+lens supplies coarse envelope chromaticity and component colors on common geometry.
+The selected analytic fit retained 4085 features, with total RMSE 0.03825, 5.90%
+missing light and 17.79% excess light. These display-fit metrics are not a visual
+acceptance or a calibrated photometric validation.
+
+The field represents **integrated starlight**, not resolved member stars. Source
+stellar light is preserved, with zero extracted stellar residual and no separate
+star catalogue layer. The 512-pixel fit grid and minimum projected sigma of 0.9
+fit pixels (5.80 arcsec here) cannot recover native stellar widths or all crowded
+core texture. This is neither measured stellar depth nor a dynamical mass model.
+
+## Source images
+
+| Lens | Native publisher image |
+| --- | --- |
+| [VST/OmegaCAM, eso1119b](https://www.eso.org/public/images/eso1119b/) | Optical G/R/I, 14540 × 14540 pixels, 50.88′ square; light/geometry reference. |
+| [WFI, eso0844a](https://www.eso.org/public/images/eso0844a/) | Optical B/V/I, 8040 × 7560 pixels, 31.88′ × 29.99′; second material lens. Some publisher mosaic gaps contain DSS data. |
+
+Native TIFFs, complete AVM metadata and identities are pinned. Angular registration
+uses native dimensions. Earlier 8192-pixel WebP preparation is historical; it is not
+the current scientific source. ESO credits and reuse terms are retained in the
+[observation recipe](observations.json): VST credit is ESO/INAF-VST/OmegaCAM,
+with acknowledgement to A. Grado and L. Limatola/INAF-Capodimonte Observatory;
+WFI credit is ESO. Both follow the [ESO image-use terms](https://www.eso.org/public/outreach/copyright/).
+
+## Native registration
+
+The [current native receipt](native-registration.json) passes the unchanged field-star
+gate with **1,899 automatic VST/WFI correspondences, 633 held-out stars and 0.0972 arcsec
+held-out RMS**. All four spatial quadrants are covered; the held-out stars span over 99.7%
+of the common image footprint in each direction. This validates relative registration,
+not absolute sky coordinates, stellar membership, depth or photometry. The publisher says
+some WFI mosaic gaps use DSS data; those regions are not independently attributed detections.
+
+The earlier recipe incorrectly put each AVM reference coordinate at the raster centre.
+Both native TIFFs actually carry noncentral reference pixels in a smaller AVM reference
+grid. Keeping those complete embedded WCS records fixes the roughly 100-arcsec relative
+offset without a fitted calibration or relaxed gate. The source pins, exact AVM values,
+gate metrics and failing recentred/corrupted-identity controls are in the receipt.
+`verify-registration.mts` checks the embedded metadata against the processing recipe and
+replays the fit from the prepared native source cache. A small spatially distributed
+native-star fixture tests the same defect without requiring the large images in CI.
+
+[The original pointing check](registration.json) and [DSS trial](dss2-fits-registration-report.json)
+are preserved historical results from the incorrect metadata transcription. The former's
+0.24-arcsec centre comparison is roughly one native pixel, despite its original sub-pixel
+wording. Neither historical receipt qualifies the corrected native inputs.
+
+## Actual results and current blocker
+
+The current inspection uses **459 retained slabs**, with one neutral bank and two
+optical lenses. [Front, oblique and both side views](evidence/2026-09-20/README.md)
+show the actual retained-DOM compiler renderer. The inspection wrapper is not the
+main application or a promoted Lab delivery. The object remains a research subject;
+no unfinished application package or new runtime bank is shipped here.
+
+- **Bake 1:** `41d62d…c3e962` completed but was visually rejected for large bright
+ clumps from the finite supports.
+- **Bake 2:** `412d07…1fa7bdca` stopped at 66% during VST painting; the
+ [original receipt](evidence/2026-09-20/bake2-compile.json) records the failure.
+ A valid convex color mixture produced `255.00000000000003`. The correction
+ rejects nonfinite values before bounding finite roundoff; its regression and
+ 32,173,980 retained samples per lens pass. This does not qualify the renderer.
+- **Bake 3:** `5d934218dcc59475e632d503bea59dfeb3bb156431d8d88d3616830808b23df9`
+ completed both lenses in 271.59 seconds for local inspection. The
+ [compile receipt](evidence/2026-09-20/bake3-compile.json) and
+ [Lab browser report](evidence/2026-09-20/bake3-browser.json) identify that state.
+ All 1,040 neutral PNGs and geometry match bake 2, as recorded by the
+ [complete identity comparison](evidence/2026-09-20/bake3-identity.json).
+ Its failed [handoff measurements](evidence/2026-09-20/legacy-handoffs.json)
+ therefore remain applicable. Historical screenshot paths inside that report
+ are local archival paths; the four current images are retained beside it.
+
+| Interpolation | X/Z normalized L1 | Y/Z normalized L1 | Fixed limit |
+| --- | ---: | ---: | ---: |
+| Smooth, original bank | 0.105794 | 0.094072 | 0.04 |
+| Nearest, original bank | 0.096259 | 0.082798 | 0.04 |
+| Smooth, adaptive bank | 0.124987 | 0.114655 | 0.04 |
+
+These checks ran on the working tree based on
+`ef1e8b067f8f7d23d4bf13ea065f02f1dec7f4ad` plus the registration, photometric
+compiler, compact replay, coordinate transport and adaptive-layer changes now
+published in this branch. That base commit alone is not the tested version.
+The [validation record](evidence/2026-09-20/validation.json) pins the tested sources
+and records reused checks, local failures and omitted application qualification.
+
+## Adaptive-layer experiment — unaccepted
+
+New compiler bakes plan at most **500 total XYZ slabs** while integrating every
+reference depth sample. This experiment reused bake 3's pinned field and both
+materials without source acquisition or refitting. Its inspection identity is
+`7a4f8781a7d19fafa57f11e65eae6ee24975082d3fcae0c1644cbdd68a5ac549`.
+The [bake receipt](evidence/2026-09-20/layer-bake.json) records 461 planned slabs
+(147/143/171), 459 retained slabs (146/142/171), and 230.94 seconds for the bake.
+That is **41.1% fewer retained planes**, with approximately 5–7% fewer texture bytes.
+It is not a corresponding bake-speed claim: depth sampling work is preserved.
+
+The [browser comparison](evidence/2026-09-20/layer-handoffs.json) uses the same
+renderer, camera and interpolation for original and optimized banks. Front-view
+normalized L1 stays below 0.0065 and luminance changes by about 1.2%. Both optical
+lenses and neutral still fail the unchanged 0.04 X/Z and Y/Z image-handoff limit.
+The additional X/Y diagnostic is recorded too; its old neutral outlier is not used
+as a stable comparison. The planner's displacement estimate is not rendered-quality
+acceptance.
+
+The [numerical alignment probe](evidence/2026-09-20/numerical-alignment.json)
+fits translation, scale and rotation. It reduces L1 by only 2.6–5%; all twelve
+old/new X/Z and Y/Z pairs remain failed. Native relative registration separately
+passes at 0.097175 arcsec held-out RMS. These results do not support a simple global
+2D misregistration as the explanation; they do not exclude sampling or compositing
+defects. [Luminosity-weighted shape moments](evidence/2026-09-20/shape-moments.json)
+in the retained envelope domain give approximate principal-axis ratios
+1 : 0.98 : 0.83; this is not an observed isophotal shape measurement or side-view
+rendering acceptance.
+
+The independent [Crab replay comparison](evidence/2026-09-20/crab-comparison.json)
+reduces 542 retained slabs to 391 and verifies all 2,737 texture pins and decoded
+alpha/geometry. Twelve of fourteen handoffs pass before and after. The two Spitzer
+failures persist and worsen, so this experiment does not promote Crab either.
+
+Main-page delivery, cold compact replay, R2 publication/restoration, source-to-app
+browser conformance and visual acceptance remain pending. The actual Lab publication
+is still bake 3; the adaptive specimen is a separately identified inspection.
+
+## Historical spherical King-Abel attempt — rejected
+
+[king-abel-profile.json](king-abel-profile.json) and
+[king-abel-derivation.mts](king-abel-derivation.mts) preserve the earlier reasoning;
+they are **not the selected prior**. That experiment adopted a King (1962) projected
+profile, substituted a 4.54 pc three-dimensional dynamical core radius for its
+projected core radius, and approximated projected half-light radius as
+0.75 × 10.42 = 7.815 pc from a three-dimensional half-mass radius. Solving those
+constraints gave rt/rc ≈ 10.221 and rt ≈ 46.4 pc before numerical Abel inversion.
+The 201-point table's recorded quadrature convergence established numerical
+consistency of that assumed profile, not an observed photometric fit.
+
+Its two radius substitutions and spherical symmetry were insufficiently sourced
+for the desired reconstruction. Calling it a published-model consequence did not
+make those substitutions measured. Later primary-source intake supplied the MGE
+table and a Wilson alternative; [shape evidence](shape-evidence.md) retains the
+comparison, radius-dependent flattening and inclination limits.
+
+The original tooling note also described a genuine historical gap: the existing
+simulation workflow required a particle-simulation baseline, while shell and
+pulsar-wind recipes encoded unrelated physics. That gap motivated the generic
+photometric-prior compiler now used above. No fabricated N-body baseline was added.
+The current blocker is the measured renderer handoff failure, not that old tooling
+gap, missing subject registration, or an absence of attempted bakes.
diff --git a/labs/nebula/models/omega-centauri/candidates.json b/labs/nebula/models/omega-centauri/candidates.json
new file mode 100644
index 0000000000..1fd64c2416
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/candidates.json
@@ -0,0 +1,6 @@
+{
+ "schema": "cssearth-nebula-candidates@1",
+ "candidates": [
+ { "id": "omega-centauri", "compilerRecipe": "labs/nebula/models/omega-centauri/compiler.json" }
+ ]
+}
diff --git a/labs/nebula/models/omega-centauri/compiler.json b/labs/nebula/models/omega-centauri/compiler.json
new file mode 100644
index 0000000000..1acd5bdc90
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/compiler.json
@@ -0,0 +1,15 @@
+{
+ "schema": "cssearth-nebula-compiler@1",
+ "id": "omega-centauri",
+ "label": "Omega Centauri",
+ "observationRecipe": "labs/nebula/models/omega-centauri/observations.json",
+ "observationCatalogue": ".local/nebula-lab/observations/omega-centauri/observations.json",
+ "structureRecipe": "labs/nebula/models/omega-centauri/observation-structures.json",
+ "structureCatalogue": ".local/nebula-lab/observations/omega-centauri/structures/catalogue.json",
+ "photometricPriorRecipe": "labs/nebula/models/omega-centauri/photometric-mge.json",
+ "defaultSourceId": "eso1119b",
+ "sourceWeights": { "eso1119b": 1, "eso0844a": 0 },
+ "defaultControls": { "detail": 1, "faint": 0.35, "depth": 1 },
+ "maximumStars": 0,
+ "interpretation": "The published oblate eight-Gaussian surface-brightness model supplies a conditional three-dimensional starlight prior at its selected inclination and position angle. Registered VST light fits finite emission components within that prior; the independent WFI image recolours the same geometry. Individual feature depths, finite supports and near/far tilt are conditional display choices, not measured stellar positions or membership. Integrated stellar light is preserved; no duplicate compact-star catalogue is added. This is relative display emission, not calibrated luminosity, gas density or a recovered dynamical model."
+}
diff --git a/labs/nebula/models/omega-centauri/evidence/2026-09-20/README.md b/labs/nebula/models/omega-centauri/evidence/2026-09-20/README.md
new file mode 100644
index 0000000000..2b9dbedb0b
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/evidence/2026-09-20/README.md
@@ -0,0 +1,44 @@
+# Omega Centauri: 459-layer inspection
+
+These are four browser captures of the same retained 3D field, using the actual
+compiler viewer and PolyCSS renderer in a local inspection wrapper. They are not
+source photographs, main-page captures, or evidence of an accepted delivery.
+The [capture record](captures.json) pins the result, served inputs, images, camera,
+browser version, viewport (1100 × 820) and DPR (1). No image processing was applied.
+
+| Earth view: yaw 0°, pitch 0° | Oblique: yaw 35°, pitch 25° |
+| --- | --- |
+|  |  |
+
+| X side: yaw 90°, pitch 0° | Near Y side: yaw 0°, pitch 89° |
+| --- | --- |
+|  |  |
+
+All views use VST/OmegaCAM colors, zoom 1 and zero pan. The interactive pitch limit
+is 89°, so the final view is one degree short of the exact side. The visible field
+represents integrated starlight with modeled depth: 4,085 fitted light features,
+459 retained logical slabs, and no separate measured-star overlay.
+
+Color source: **ESO/INAF-VST/OmegaCAM. Acknowledgement: A. Grado and
+L. Limatola/INAF-Capodimonte Observatory.** See the
+[native observation and credit](../../observations.json) and
+[ESO image-use terms](https://www.eso.org/public/outreach/copyright/).
+The second available WFI lens is credited to ESO; it is not pictured here.
+
+These views illustrate different orientations, not a matched visual comparison.
+No Pixelmatch result is claimed. The unchanged quantitative handoff gates remain
+failed: [original browser measurements](layer-handoffs.json),
+[bounded numerical alignment](numerical-alignment.json), and
+[retained-input bake receipt](layer-bake.json). The grid and angle-dependent
+appearance still need resolution. The images do not certify rotation stability.
+
+The [validation record](validation.json) identifies the tested source hashes,
+reused checks, five full-suite failures and omitted app/R2 qualification. Its source
+hashes describe the implementation captured here; publishing documentation and
+evidence does not change that implementation. Historical receipts preserve their
+original local paths and result identities; those paths are not public downloads.
+
+The four PNGs total 849,034 bytes and support the four-view inspection claim.
+The 198,200-byte [bake-3 identity report](bake3-identity.json) retains all 1,040
+neutral texture comparisons needed to reuse the earlier failed handoff verdict.
+No runtime slice bank or native observation bytes are committed with these images.
diff --git a/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake2-compile.json b/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake2-compile.json
new file mode 100644
index 0000000000..639b7fb457
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake2-compile.json
@@ -0,0 +1,21 @@
+{
+ "schema": "cssearth-nebula-candidate-run@1",
+ "startedAt": "2026-09-20T09:23:03.906Z",
+ "updatedAt": "2026-09-20T09:26:09.633Z",
+ "catalogue": {
+ "path": "labs/nebula/models/omega-centauri/candidates.json",
+ "sha256": "be78206e67c31d36698c69818a383e922c48603cb157bbd31e8bcf824bb24240"
+ },
+ "mode": "compile",
+ "selected": [
+ "omega-centauri"
+ ],
+ "results": [
+ {
+ "id": "omega-centauri",
+ "status": "failed",
+ "error": "Compiler 3D material must return finite RGB chromaticity in 0..255.",
+ "seconds": 185.725669875
+ }
+ ]
+}
diff --git a/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-browser.json b/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-browser.json
new file mode 100644
index 0000000000..053f03e4bb
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-browser.json
@@ -0,0 +1,236 @@
+{
+ "id": "5d934218dcc59475e632d503bea59dfeb3bb156431d8d88d3616830808b23df9",
+ "url": "http://127.0.0.1:4339/reconstruction?subject=omega-centauri&inspection=compiler",
+ "captures": [
+ {
+ "name": "vst-front",
+ "pose": "0,0",
+ "lens": "eso1119b",
+ "mode": "textured",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ },
+ {
+ "name": "vst-oblique",
+ "pose": "44.99999389648437,25.000006103515624",
+ "lens": "eso1119b",
+ "mode": "textured",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "visible",
+ "opacity": "0.5",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ },
+ {
+ "name": "vst-x-positive",
+ "pose": "90.00000915527343,0",
+ "lens": "eso1119b",
+ "mode": "textured",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ },
+ {
+ "name": "vst-x-negative",
+ "pose": "-89.99999847412109,0",
+ "lens": "eso1119b",
+ "mode": "textured",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ },
+ {
+ "name": "vst-y-positive",
+ "pose": "0,88.99999694824218",
+ "lens": "eso1119b",
+ "mode": "textured",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ },
+ {
+ "name": "vst-y-negative",
+ "pose": "0,-88.99999694824218",
+ "lens": "eso1119b",
+ "mode": "textured",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ },
+ {
+ "name": "wfi-front",
+ "pose": "0,0",
+ "lens": "eso0844a",
+ "mode": "textured",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ },
+ {
+ "name": "wfi-oblique",
+ "pose": "44.99999389648437,25.000006103515624",
+ "lens": "eso0844a",
+ "mode": "textured",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "visible",
+ "opacity": "0.5",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ },
+ {
+ "name": "neutral-oblique",
+ "pose": "44.99999389648437,25.000006103515624",
+ "lens": "eso0844a",
+ "mode": "neutral",
+ "original": "false",
+ "bankStates": [
+ {
+ "visibility": "visible",
+ "opacity": "1",
+ "leaves": 615
+ },
+ {
+ "visibility": "hidden",
+ "opacity": "0",
+ "leaves": 615
+ },
+ {
+ "visibility": "visible",
+ "opacity": "0.5",
+ "leaves": 1107
+ }
+ ],
+ "retained": true
+ }
+ ],
+ "errors": [],
+ "failed": [],
+ "posts": [],
+ "refreshVerified": true,
+ "status": "inspection verified; visual handoff UNACCEPTED"
+}
\ No newline at end of file
diff --git a/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-compile.json b/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-compile.json
new file mode 100644
index 0000000000..7f592efce1
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-compile.json
@@ -0,0 +1,33 @@
+{
+ "schema": "cssearth-nebula-candidate-run@1",
+ "startedAt": "2026-09-20T09:44:55.121Z",
+ "updatedAt": "2026-09-20T09:49:26.736Z",
+ "catalogue": {
+ "path": "labs/nebula/models/omega-centauri/candidates.json",
+ "sha256": "be78206e67c31d36698c69818a383e922c48603cb157bbd31e8bcf824bb24240"
+ },
+ "mode": "compile",
+ "selected": [
+ "omega-centauri"
+ ],
+ "results": [
+ {
+ "id": "omega-centauri",
+ "status": "complete",
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diff --git a/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-identity.json b/labs/nebula/models/omega-centauri/evidence/2026-09-20/bake3-identity.json
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index 0000000000..e7a0636284
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+ "reusedHandoff": "round2-neutral/handoffs.json",
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+}
\ No newline at end of file
diff --git a/labs/nebula/models/omega-centauri/evidence/2026-09-20/captures.json b/labs/nebula/models/omega-centauri/evidence/2026-09-20/captures.json
new file mode 100644
index 0000000000..135bb37708
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/evidence/2026-09-20/captures.json
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+ "failures": []
+}
diff --git a/labs/nebula/models/omega-centauri/evidence/2026-09-20/crab-comparison.json b/labs/nebula/models/omega-centauri/evidence/2026-09-20/crab-comparison.json
new file mode 100644
index 0000000000..552067690e
--- /dev/null
+++ b/labs/nebula/models/omega-centauri/evidence/2026-09-20/crab-comparison.json
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+}
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