Hyperbrane Relativity: A 4D Embedding Extension of General Relativity (Complete Master Edition, V42)

Hyperbrane Relativity (HBR) Master Edition V42 is a geometric extension of general relativity in which the observable universe is modelled as a contracting 3-brane embedded in a four-dimensional Euclidean bulk. The framework was developed to address a cluster of persistent puzzles that are usually treated by separate extensions or new substances: • Galaxy rotation curves that reproduce the SPARC sample without dark-matter halos• The magnitude of the cosmological constant• The MOND acceleration scale as a derived crossover• The Hubble tension• Horizonless compact objects consistent with EHT shadow morphology HBR recovers all solar-system, binary-pulsar, and weak-field gravitational-wave tests to the same precision as GR (single-parameter PPN consistency with the Cassini bound β = 1.0 ± 10⁻⁴). This master edition serves as the connected reference synthesis for the entire framework. It preserves bit-for-bit the V32 SPARC results (171 of 175 galaxies, χ²_ν = 1.29, α_BTFR = 3.56 ± 0.11) while integrating later articulations including the Koide 45° cone identity, the Hubble-tension structural parameter, and Bullet Cluster Item-4 predictions. All open problems are stated explicitly. The focused submission-track papers (Paper A: SPARC, Paper B: EHT shadows, etc.) carry the individual empirical claims. Researchers are encouraged to use those papers for targeted tests and this master record for the unifying geometric mechanism and cross-regime consistency. Bilingual edition: English main paper (HBR_Master.pdf) with Japanese mirror (HBR_Master_JP.pdf). CC BY 4.0.