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May 6, 20260 citationsOpen Access

Hyperbrane Relativity: A Geometric Extension of General Relativity — Master Edition V29.1

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YYYuichi Yamamoto

Key Points

  • This work aims to enhance the clarity and precision of Hyperbrane Relativity through typographic and editorial revisions.
  • Incorporated peer-review feedback to improve clarity over the first five pages.
  • Standardized symbols and notation across the document for consistency.
  • Emphasized quantitative predictions related to confidence intervals for measurements in M87* and Sgr A*.
  • Introduced substantive measurements of confidence intervals for BBP saturation in M87* and Sgr A*.
  • Confirmed non-overlapping confidence intervals, indicating source-dependent partial saturation as a key prediction.
  • Enhanced editorial consistency and corrected previously flagged issues for improved readability.

Abstract

Summary V29. 1 = V29 (Phase B-1 EHT forward-fit incorporation) plus a 7-patch peer-review hardening sweep that addresses critical editorial / symbol-hygiene issues flagged by 3 independent AI external reviewers (ChatGPT / Grok / Gemini) within hours of the V29 publication. No physics, no theorems, no MCMC numerics are recomputed; this is strictly a clerical / typographic / language-tone consistency upgrade so that peer reviewers can read past the first 5 pages without stopping. 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. 1 vs V28 Inherited from V29 (Phase B-1 EHT forward-fit) Part XVII (Compact Objects): New subsubsection "Phase B-1 quantitative forward fit" with chi²/dof = 5. 23 (M87*) / 5. 87 (Sgr A*) and the source-dependent partial-saturation table (Phiₘin/Phiᵢnf = 0. 301 0. 272, 0. 342 for M87*, 0. 736 0. 666, 0. 835 for Sgr A* at 95% CI from n=500 weighted case-bootstrap). Part 7 (Predictions): 6th entry added to "What Would Disprove HBR": "Full BBP Saturation Phiₘin/Phiᵢnf = 1 in M87*/Sgr A* Brightness Profile". TOC numwidth fix: 3-digit section numbers (102, 103, 104) no longer collide with title text. V29. 1 peer-review hardening (7 patches) Patch 1 — Cover/titlepage: V28 -> V29. 1, "End of Spacetime Postulates" -> "A 4D Euclidean Embedding Approach to Lorentz Kinematics". Patch 2 — Symbol standardization: Kinetic coefficient T₀ -> ZPhi (avoid Nambu-Goto brane tension collision). Patch 3 — SPARC canonical macros: Single source of truth (canonicalₛparcᵣesults. tex) eliminates the V29 inconsistency where Abstract said chi²nu=1. 29/DeltaAIC=-17. 6/78% while body said 1. 31/-147. 3/89%. Patch 4 — Tone weakening: "Dark Matter Eliminated" -> "Halo-Free Fits to SPARC Rotation Curves"; "event horizons are impossible" -> "no Phi=0 stagnation surface in matter-sustained regions"; "HBR replaces GR" -> "HBR extends GR in regimes not yet tightly constrained"; etc. Patch 5 — beta disambiguation: PPN beta kept as canonical; SR velocity ratio renamed betaᵥ. Patch 6 — Hierarchical claim-status table: new front-matter table labeling each HBR claim as quantitatively-tested / conditional-theorem / strong-field-prediction-pending / ansatz / etc. Patch 7 — Bibliography: V29. 1 entry added. Authoritative numerical values (single source of truth) 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 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) EHT mass reference 6. 5e9 Mₛun 4. 1e6 Mₛun Both Phiₘin/Phiᵢnf 95% CIs exclude the kinematic ceiling Phi = 1 (M87 upper 0. 342, Sgr A* upper 0. 835). The two sources' CIs are mutually non-overlapping (M87* upper 0. 342 V27 -> V28 (Concept DOI parent) -> V29. 1 (this record). A separate standalone V29 record (DOI 10. 5281/zenodo. 20021551) was published earlier on 2026-05-04 by mistake (Zenodo "Is new version of" metadata flag is NOT the same as Zenodo's "New version" workflow). That record has been withdrawn by the author. Cite this V29. 1 DOI going forward.

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Yuichi Yamamoto (2026) studied this question.

synapsesocial.com/papers/69faa1eb04f884e66b532abehttps://doi.org/10.5281/zenodo.20028176
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