Hyperbrane Relativity: Universe Objects, OCS Geometry, Koide 45° Cone, Hubble Tension, and Bullet Cluster Item 4 (Main Paper, V41.5.1 patch revision 2026-05-11)

Hyperbrane Relativity (HBR) is a geometric extension of general relativity in which the observable universe is a uniformly translating three-brane embedded in a flat four-dimensional Euclidean bulk. Every physical entity is represented as a universe object — a four-tuple consisting of an anchored thread, Contact region, Observation region, and scale parameter. Lorentz invariance emerges as a brane symmetry, with the empirical speed of light c fixing the W-flux Dirichlet boundary condition. This document is the V41.5.1 patch revision (144 pages) of V41.5 (DOI 10.5281/zenodo.20116019, 2026-05-11), introducing five submission-readiness modifications. The mathematical companion paper (DOI 10.5281/zenodo.20103309) is unchanged. The framework rests on a Madelung-fluid foundation ψ_bulk = √ρ_bulk · exp(i S_bulk / ℏ) for the bulk, which provides a common geometric language for dark-matter-like, cosmological-constant, and MOND-like phenomena: dark matter is read as the projection of ordinary matter on adjacent W-phases through the Observation envelope; the cosmological constant is read as the overflow above a finite brane absorption capacity P_brane^max; and MOND-like flat rotation curves emerge as the cross-section of collective Madelung-fluid aggregate vortices. Within this framework the paper articulates three new results: (i) the Koide relation Q ≈ 2/3 reformulated as a geometric 45° cone identity on the family-internal R³ vector of the extended 5-tuple universe object; (ii) an explicit HBR-internal articulation of the Hubble tension through the W-extent saturation parameter α ≈ 0.48; and (iii) a complete three-component decomposition of the Bullet Cluster (gas/galaxies/aggregate vortex) with four distinguishing predictions. The V32 SPARC ensemble fit (α = 3.56 ± 0.11, χ²_ν = 1.29, 171 galaxies) is preserved bit-for-bit and re-interpreted as an aggregate-vortex phenomenon. Six falsifiable predictions (P1–P6) are presented. The framework extends rather than replaces general relativity in the regimes in which the latter has been tested. The five V41.5.1 modifications are: (1) Terminology tone-down — seven internally-developed terms (Birth Energy, Eternal Generation, Fountain Universe, Contracting Brane, seeing-vs-touching, no-attractive-force, HBR-presentism) are introduced on first body use with standard-physics translations, while the bilingual glossary preserves the original notation. (2) Meta-record consolidation — internal review records (sprint logs, redline inventories, partial-downgrade notes) are consolidated into a new Appendix C (Revision History) as archive, leaving the body focused on physics content. (3) Mathematical Companion reintegration — three new appendices (Mathematical Foundations / Push-Restore Force Balance and T2 Geodesic / T4 Poisson Reduction in the Newtonian Limit) bring the Madelung Tier-1, Tier-2, and Tier-4 derivations into the main paper verbatim; the companion paper itself is bit-for-bit preserved. (4) Abstract Item 8 micro-edit and Title update — the Hubble-tension wording is harmonized with the in-text honest framing of the partial downgrade of the structural-parameter claim; title and subtitle reflect the V41.5.1 designation. (5) Abstract and Introduction-Motivation compact rewrite — the verbose multi-paragraph Abstract is replaced by a four-paragraph compact form, and the Motivation subsection is simplified to a single paragraph listing the five open problems (galactic flat rotation curves, the cosmological-constant problem ~120 orders of magnitude, the MOND acceleration scale a_0, the gravity hierarchy, and the precise inertial/gravitational mass equivalence) with bibliographic citations preserved. V32 Paper A LOCKED numerics are preserved bit-for-bit throughout: α_BTFR = 3.56 ± 0.11, χ²_ν = 1.29, NGC 3198 v_∞ = 159.5 km/s, 91.9% pass rate on 171/175 SPARC galaxies, a_0 = 1.082 × 10⁻¹⁰ m/s², Cassini PPN |β − 1| < 10⁻⁴. The Madelung tier-excerpt SHA-256 baselines are maintained for all six tier files. All sixteen ideological-redline constraints hold and all eleven compromise-warning criteria remain not triggered (the full audit inventory is included as Appendix C-2). The mathematical companion paper (DOI 10.5281/zenodo.20103309) remains bit-for-bit preserved — no companion modification in V41.5.1. Subjects: General Relativity, Modified Gravity, Galactic Dynamics, Dark Matter, Dark Energy, Hubble Tension, Madelung Quantum Hydrodynamics, Bulk-Brane Cosmology, MOND comparison, SPARC galaxy rotation curves, Koide formula, Bullet Cluster, Twistor preliminaries.