Observer Patch Holography starts from a simple restriction: no observer sees the whole world at once. Each observer gets only a local patch, and neighboring patches have to agree where those patches overlap. The question is how much physics can be forced from that fact alone.
French version: README_FR.md
Quick links: website | OPH Textbooks | OPH Lab
OPH is a reconstruction program for fundamental physics. It starts from finite observers on a finite holographic screen and works outward. Spacetime, gauge structure, particles, records, and observer synchronization are treated as consequences of overlap consistency, not as primitives.
If you want the compact technical core, start with Paper 2. Recovering Relativity and the Standard Model from the OPH Package Rooted in Observer Consistency. It carries the relativity, gravity, and Standard Model structure in the tightest form. Paper 3. Deriving the Particle Zoo from Observer Consistency carries the particle derivations. Paper 4. Reality as a Consensus Protocol develops the consensus and repair picture. Paper 5. Screen Microphysics and Observer Synchronization covers finite screen architecture, records, and observer machinery. This README, Paper 1, and the book are the broad overviews.
Most theories begin by assuming spacetime, quantum fields, and a list of
constants. OPH starts one step earlier, with finite observers on a finite
holographic screen whose descriptions have to agree where their patches
overlap. Push that requirement hard enough and a 3+1D Lorentzian spacetime
emerges, together with a Jacobson-style Einstein equation and the realized
Standard Model quotient SU(3) x SU(2) x U(1) / Z_6, including the exact
hypercharge lattice and the counting chain N_g = 3, N_c = 3.
The scale is set by two quantities: the total screen capacity
N_scr = log dim H_tot, read from the cosmological constant, and the local
pixel ratio P = a_cell / l_P^2, which fixes the size of one screen cell in
Planck areas. From the outside, P is a geometric cell size that sits
slightly above the self-similar balance φ = (1 + sqrt(5)) / 2. From the
inside, it becomes the smallest electromagnetic observation scale available to
observers in the world encoded on that screen. OPH finds the fine-structure
constant by asking for the nonzero detuning of a holographic screen cell such
that the cell's outer geometric displacement from perfect self-similar
equilibrium equals the electromagnetic observation scale emitted by the
universe living on that same screen. The closure is
P = φ + α_in(P) sqrt(pi). For the 2022 CODATA/NIST central value
α⁻¹(0) = 137.035999177, that outer formula gives
P = 1.630968209403959.... The repo records the closure as a numerical
fixed-point witness and treats the displayed central value only as an external
comparison target; the code has no built-in inverse-alpha constant.
An interval-wide uniqueness certificate remains a separate release item.
A separate pending hardware note reports an optical-cavity check of the same
fixed-point geometry; this is treated as corroborating engineering evidence.
From the same setup come gravity, gauge structure, the electroweak sector, the Higgs-top pair, quark masses and Yukawas, neutrino structure, records, and observer synchronization. Charged-lepton absolute masses, the theorem-grade zero-momentum electromagnetic certificate, and hadrons remain under derivation.
This table keeps the rows that are easiest to compare directly with PDG and
NIST values. Structural results such as the 3+1D Lorentzian spacetime, the
Standard Model quotient SU(3) x SU(2) x U(1) / Z_6, the exact hypercharge
lattice, and the counting chain N_g = 3, N_c = 3 live in the papers. The
quick view here sticks to direct numeric rows, exact zeros, and a small number
of declared closure witnesses and candidates.
For a lab-facing list of OPH targets and claim tiers, see OPH Lab-Facing Predictions.
| Quantity | Symbol | OPH | PDG/NIST | Δ |
|---|---|---|---|---|
| Gravitational constant | G | 6.6742999959e-11 | 6.67430(15)e-11 | 0.00003σ |
| Speed of light | c | 299792458 | 299792458 (exact) | match |
| Fine-structure (inv) | α⁻¹(0) | P-closure witness; external compare 137.035999177 |
137.035999177(21) | interval certificate pending |
| Photon mass | m_γ | 0 eV | <1e-18 eV | below bound |
| Gluon mass | m_g | 0 GeV | 0 GeV | match |
| Graviton mass | m_grav | 0 eV | <1.76e-23 eV | below bound |
Quark sector
| Quark | Symbol | OPH | PDG | Δ |
|---|---|---|---|---|
| Bottom | m_b(m_b) | 4.183 GeV | 4.183 ± 0.007 | match |
| Charm | m_c(m_c) | 1.273 GeV | 1.2730 ± 0.0046 | match |
| Strange | m_s(2 GeV) | 93.5 MeV | 93.5 ± 0.8 | match |
| Down | m_d(2 GeV) | 4.70 MeV | 4.70 ± 0.07 | match |
| Up | m_u(2 GeV) | 2.16 MeV | 2.16 ± 0.07 | match |
Δ reports the sigma distance where PDG or NIST quotes a one-standard-deviation
uncertainty. Otherwise it records match, below bound, or the status of a
declared candidate row.
For quarks, PDG uses its standard mass conventions: u, d, and s at
2 GeV, with c and b in the MS scheme at their own mass scale. The
papers also carry the structural Standard Model derivations listed above and a
neutrino family, but those do not collapse to one simple PDG or NIST row and
are left out of this table. For detailed particle status, see
code/particles/RESULTS_STATUS.md.
The public electroweak surface also includes a Higgs value
m_H = 125.1995304097179 GeV and a companion top value
m_t = 172.3523553288312 GeV on the same calibration surface. The bridge to
the auxiliary direct-top average Q007TP = 172.56 ± 0.31 GeV is tracked in
#207.
Charged leptons are still under derivation from the public P route.
The local unification surface is organized around the pixel ratio P and one
local ruler, a_cell. On that surface the same scale touches the electroweak
bosons, the Higgs lane, the gravity-side entropy relation, and the familiar
unit package for meters, seconds, GeV, and Kelvin. The diagram below shows how
those pieces sit on one scale. The detailed formulas live in the papers.
Particle status surfaces for this repo live in code/particles/RESULTS_STATUS.md and code/particles/EXACT_NONHADRON_MASSES.md.
OPH Stack
The main OPH line from axioms to relativity, gauge structure, particles, and observers. Click to open the full SVG.
Particle derivation stack
A compact view of the particle lane. Click to open the full SVG.
- Paper 1. Observers Are All You Need: broad synthesis across the full OPH stack.
- Paper 2. Recovering Relativity and the Standard Model from the OPH Package Rooted in Observer Consistency: compact technical core for relativity, gravity, and Standard Model structure.
- Paper 3. Deriving the Particle Zoo from Observer Consistency: particle derivations and the quantitative mass and coupling surface.
- Paper 4. Reality as a Consensus Protocol: repair, fixed-point, and consensus picture.
- Paper 5. Screen Microphysics and Observer Synchronization: finite screen architecture, records, and observer synchronization.
- Website: floatingpragma.io/oph
- Theory explainer: floatingpragma.io/oph/theory-of-everything
- Simulation-theory explainer: floatingpragma.io/oph/simulation-theory
- Book: oph-book.floatingpragma.io
- Guided study app: learn.floatingpragma.io
- Questions and detailed explanations: OPH Sage on Telegram, X, or Bluesky
- Lab: oph-lab.floatingpragma.io
- Common objections: extra/COMMON_OBJECTIONS.md
- IBM Quantum note: extra/IBM_QUANTUM_CLOUD.md
paper/: PDFs, LaTeX sources, and release metadata.book/: OPH Book source. Print-PDF build notes live inbook/README.md.code/: computational material, particle outputs, and experiments.assets/: public diagrams and figures.extra/: maintained public notes such as objections, experimental write-ups, and selected supporting essays.
A domain -> subdomain -> OPH-area map spanning mathematics, computer science, information and inference, complex systems, theoretical physics, quantum information, and measurement foundations. Click to open the full poster PNG.