Summary V29. 2 is the second peer-review hardening of the V29 cycle (V29 → V29. 1 → V29. 2), applying 14 editorial patches (12 planned + P13 emergency gate-c framing restoration + P14 cover-version bump) surfaced by a 4-reviewer external-review synthesis (Gemini + Grok + ChatGPT + Claude) of V29. 1. No physics changes; physics is identical to V29. 1. The principal scientific addition (inherited from V29) is a substantive measurement of source-dependent partial BBP saturation in M87* and Sgr A*, both confidence intervals excluding the kinematic ceiling Phiₘin/Phiᵢnf = 1 and being mutually non-overlapping — a quantitative HBR-specific prediction at falsifier-grade precision. What's new in V29. 2 vs V29. 1 P1: All? ? cross-references resolved (3-pass compile, 0 undefined refs in EN+JP). P2: V28 narrative residue swept → "V28-V29. 1 synthesis" wording. P3: SPARC MCMC text canonicalized to 15000-step Paper-A locked values (≥64 walkers, 15000 steps, ≥1000 burn-in). P4: Bibliography rebuilt — Issaoun2019 added; JP citations aligned with -jp suffix bibitems. P5: Abstract toned — Gₘunu+beta Hₘunu definite-equation claim weakened to "effective parameterization at weak field"; "one-scale theory" weakened to "candidate one-scale theory"; Delta w SI-determination disclaimer added. P6: "No event horizons" expression unified → "no Phi=0 stagnation surface in matter-sustained regions" / "horizon formation is disfavored within the present effective Phi-model". P7: Lorentz framing reframed — new section in Part XIV positions HBR's 4D Euclidean form as a Euclidean-embedding interpretation of Lorentz kinematics, recovered via Wick rotation theta → i phi (NOT a literal SO (4) replacement of SO (3, 1) ). Numerical example u=0. 9c, v=0. 5c → 0. 561c (literal Euclid) vs 0. 727c (Einstein) included. P8: Theorem 2 reframed as conditional — renamed to "Positivity of Phi in matter-sustained regions (conditional) "; conditional footnote enumerates 3 logical gaps; rigorous PDE proof using Gilbarg-Trudinger Theorem 3. 5 deferred to V30. P9: "Submitted to Physical Review D" → "prepared for submission to Physical Review D". P10: Strong-expression sweep (V29. 1 patch 4 residue) — "dark matter is unnecessary" → "particle dark-matter halos are not required for the SPARC fits considered here"; "three-body problem is solved" → "three-body trajectories regularized in the tested regime". P11: Bibliography V29. 2 entry added. P12: EN+JP recompile + Zenodo bundle (3-pass each, 0 undefined refs/cites). P13 (emergency): Gate-speed-c framing restored to V28 canon. V29. 1 had reintroduced V28-prohibited expressions treating c as if derived from gate dynamics ("rate-converts to inflow at gate speed c", " (gate self-contraction, frame-independent) ", JP "ゲート速度 c", "バルク視点ではゲート出力速度"). HBR canonical convention: c is an empirical invariant imported from measurement, NOT derived; the gate inflow rate is fixed at c via the Dirichlet boundary condition ẊW|_=c; the identity |U₈₍₅₋₎ₖ|² = c² is a kinematic consequence of this boundary condition, NOT a derivation of c's invariance. Fixed at 24 sites: EN 10 (front matter, Part 1, Part 13/14/15 V27 ontological notes) + JP 14 (frontⱼp, partsⱼp/part1, part13/14/15, plus Hubble constant section). P14 (cover oversight): Edition string on cover/titlepage bumped V29. 1 → V29. 2 (4 sites: titlepage EN/JP + pdftitle EN/JP). Without this, the V29. 2 PDFs would still display "V29. 1" on page 1. Authoritative numerical values EHT forward fit (Phase B-1) Quantity M87* Sgr A* chi²/dof at thetaₗit 20. 494 22. 885 chi²/dof at thetabest 5. 233 5. 870 improvement 3. 92x 3. 90x Phiₘin/Phiᵢnf best 0. 301 0. 736 Phiₘin/Phiᵢnf 95% CI (n=500) 0. 272, 0. 342 0. 666, 0. 835 inclination best (lit) 21. 7 deg (17 deg) 36. 7 deg (30 deg) Mfactor best (M) 0. 892 (5. 80e9 Mₛun) 0. 955 (3. 92e6 Mₛun) Both Phiₘin/Phiᵢnf 95% CIs exclude the kinematic ceiling Phi=1; the two sources' CIs are mutually non-overlapping (M87* upper 0. 342 << Sgr A* lower 0. 666). SPARC rotation curves (15000-step MCMC LOCKED, Paper A) SPARC quantity Value Galaxies 171 median chi²/nu 1. 31 DeltaAIC (HBR-MOND) -147. 3 DeltaAIC (HBR-NFW) -4. 3 HBR preferred over MOND 89% (153/171) HBR preferred over NFW 74% (126/171) Versioning chain (Concept-DOI) V26 → V27 → V28 (10. 5281/zenodo. 19869381) → V29 (10. 5281/zenodo. 20021551, withdrawn) → V29. 1 (10. 5281/zenodo. 20028176) → V29. 2 (this record, 10. 5281/zenodo. 20031326).
Yuichi Yamamoto (Wed,) studied this question.