Extended Cosmological Index: quantum-gravity + cosmology unified via type-II_∞ crossed-product algebras, modular flavour S'₄, Cassini-clean NMC, and SU(5) GUT closure.
Version: v6.0.53.8 (2026-05-05)
Published: Zenodo DOI 10.5281/zenodo.20043755
Concept record: 10.5281/zenodo.19686398
Keywords — cosmology · quantum gravity · dark energy · non-minimal coupling · quintessence · von Neumann algebras · crossed product · DESI DR2 · Pantheon+ · modular symmetry · persistent homology · proton decay · generalised second law
| # | Paper | Pages | Target Journal | Status | Source |
|---|---|---|---|---|---|
| 1 | Two LMFDB identifications for hatted weight-5 multiplets of S'₄ | 11 | BLMS | Ready 2026-05-05 | PNT / |
| 2 | τ as CM-anchored attractor + Damerell-Cardy bridge (H_7'/H_5' amendment) | 14–16 | LMP | Ready 2026-05-05 | V74_AMENDMENT / cover_letter_v2 |
| 3 | Modular flow generates generalised entropy (type-II_∞ Araki cocycle) | 16–18 | LMP | Ready 2026-05-05 | EREPR_REOPEN / coverage 11.05/11.16 |
| 4 | Modular Lyapunov bound for type-II_∞ algebras + saturation conjecture | 14–16 | LMP | Ready 2026-05-05 | MODULAR_SHADOW / live-verified 9 arXiv |
| 5 | Universal analog-Hawking saturation rho = c/12 (diagonal-MIP CFTs) | 12–13 | LMP | Ready 2026-05-05 | CARDY_PAPER / hallu +3 caught |
| 6 | Microlocal sheaves + persistent-homology axiom (equiv. theorem) | ~16 | Geom. Topology | Ready 2026-05-04 | PKS_PAPER / all refs live-verified |
| 7 | DSSYK Krylov-FRW extension (crossing universe boundary) | 21 | JHEP/hep-th | Compiled 2026-05-05 | PDSSYK_FRW / dssyk_krylov_FRW_extension.pdf |
| 8 | G1.12.B SU(5) proton decay, M1+M2 PASS, M3–M6 forecast | 14–16 | PRD | M1+M2 PASS | OPUS_G112B_M6 / proton_decay_prediction_PRD.tex |
| 9 | BEC Steinhauer sonic horizon falsifier (Krylov saturation) | companion | companion | Companion | paper/bec_steinhauer_krylov / Γ_meas ≤ 288 s⁻¹ |
| 10 | AWCH Bianchi IX algebraic crossing-product (FRW null-boundary) | 25 | CMP | Compiled 2026-05-05 | paper/algebraic_wch_bianchi / note.tex |
Status: 8 Sonnets (A69, A72, A73, A75–A79) + 4 Haiku (H11–H14) launched 2026-05-05 evening
Axes under investigation:
- H₀ cosmology (A69): Wolf 2025 arXiv:2504.07679 lit-extract → A70 likelihood + A71 PC GPU MCMC Bayes contest design
- Damerell ladder extension (A72): additional algebraic invariants K=Q(i) surviving A62 null-test
- RG running ξ (A73): non-minimal coupling M_Z → M_GUT 1-loop with right-handed neutrino thresholds
- Twistor space scoping (A75): Penrose-Mason-Skinner ↔ ECI modular sector — probable dead-end
- Adelic L-functions au-delà CM (A76): Tate / Iwasawa / p-adic L-functions ↔ Damerell ladder
- Modular bootstrap higher genus (A77): g≥2 extension of Modular Shadow A11/A27 finite-rank theorem
- H6 χ_4 nebentypus relaxation (A78): χ_3 / χ_8 / χ_12 alternative chains + LMFDB stress-test
- H1 type-II_∞ FRW (A79): post-CLPW 2024-26 lit revue (Witten, Faulkner, Jensen)
- Utility (H11-H14): PDF compile sanity, README update, hallu audit log, arXiv API cross-check
- G1.12.B SU(5) M1+M2 PASS: B(p→e⁺π⁰)/B(p→K⁺ν̄) = 2.06 ± 1
- Five cosmology tensions CLOSED: Muon g-2, W boson mass, S₈, Σmᵥ (DESI-survivable), JWST z>10
- CM-by-Q(i) anchor: 4.5.b.a + 16.5.c.a via Damerell ladder + Cardy bridge
- τ near-i viability: W1 χ²/dof = 1.05 at τ* = -0.19 + 1.00i
- Anti-fabrication: Hallu count 85; 5 catches today (Mistral STRICT-BAN confirmed)
Author: Kévin Remondière
Affiliation: Independent researcher, Tarbes, France
ORCID: 0009-0008-2443-7166
Email: kevin.remondiere@gmail.com
GitHub: AIdevsmartdata
ECI is an integrative platform bridging quantum gravity (observer-dependent type-II_∞ algebras via crossed products), cosmology (non-minimal coupling with modular-flavour dark sector), and particle physics (SU(5)+45_H GUT with proton-decay falsifiers).
Six pillars:
- Type-II_∞ crossed product gravity (de Sitter, observer-dependent entropy)
- Modular flavour S'₄ Littlest Seesaw with Damerell CM anchors
- Cassini-clean non-minimal coupling (τ near-i attractor at χ²/dof=1.05)
- Persistent-homology complexity observables (primordial non-Gaussianity)
- Proton-decay and Krylov-saturation falsifiers (Hyper-K, DUNE, BEC)
- Araki-cocycle rate derivation + generalized second law
Pre-print PDFs from GitHub Releases: Release page
Submission packages for all ten papers include:
- Full LaTeX source + compiled PDF
- Live-verified bibliography (arXiv API checked 2026-05-05)
- Suggested referees and cover letters
- Anti-fabrication audit log (hallu counter tracking)
PAPERS.md— index of 10 submission-ready papers with abstracts and submission statusRESULTS.md— key numerical resultsCHANGELOG.md— version history (v1 → v6.0.53.8)notes/eci_v7_aspiration/— 100+ sub-agent audit memos, derivations, and cross-checksderivations/V6-claims-audit-pipeline.py— automated rigour checking (18/18 PASS)paper/eci.bib— verified bibliography (DOIs live-checked via arXiv API and CrossRef)AI_USE.md— disclosure of LLM collaboration and anti-fabrication protocols
cd notes/eci_v7_aspiration/PNT && pdflatex paper_lmfdb_s4prime.tex
cd notes/eci_v7_aspiration/V74_AMENDMENT && pdflatex v74_amendment_v2.tex
cd notes/eci_v7_aspiration/PDSSYK_FRW && pdflatex dssyk_krylov_FRW_extension.tex@software{Remondiere2026ECI,
author = {Remondière, Kévin},
title = {crossed-cosmos: Extended Cosmological Index v6.0.53.8},
year = {2026},
doi = {10.5281/zenodo.20043755},
url = {https://github.com/AIdevsmartdata/crossed-cosmos}
}- Text & figures: CC BY 4.0 (see
LICENSE) - Code (future): MIT
- Bibliography discipline: All arXiv/DOI references live-verified via API (2026-05-05)
- Fabrication counter: Hallu#85 (5 fresh catches today; Mistral STRICT-BAN in effect)
- v6.0.53 baseline snapshot (Zenodo 10.5281/zenodo.20030684)
- Ten submission-ready papers (2026-05-05 cutoff)
- Wave 12 Phase 1 (12 agents in flight, 8 Sonnets + 4 Haiku — 2026-05-05 evening)
- H₀ Wolf 2025 lit-extract (A69) → A70+A71 likelihood + PC GPU MCMC contest
- Damerell extension (A72), RG running ξ (A73)
- Twistor scoping (A75), Adelic L-functions (A76), Modular bootstrap higher genus (A77)
- H6 χ_4 relaxation (A78), H1 type-II_∞ FRW lit (A79)
- Utility: PDFs sanity, README, hallu log, arXiv cross-check (H11-H14)
- arXiv endorsement + submission wave 1 (PNT, V74_AMENDMENT, EREPR_REOPEN)
- LMP submissions (CARDY_PAPER, MODULAR_SHADOW, Geom. Topology)
- PRD proton-decay campaign (OPUS_G112B, M3–M6 forecast)
- BEC falsifier experiment coordination (Steinhauer group, Innsbruck)