Hyperbrane Relativity: A Foundation-First Geometric Framework (Master Edition V30)

Hyperbrane Relativity: Master Edition V30 — Foundation-First Geometric Framework. This release restructures the HBR Master Edition to declare the geometric foundation (contracting brane in 4D Euclidean bulk + W- inner-universe fountain) as Part I, making it the explicit starting point. Key changes from V29.2: — New Part I "The Foundational Picture": W-axis pedagogical points (scale axis, orthogonality to XYZ, infinite extent, observer-with-ruler invariance), indeterminacies of brane-internal observation, true-BH vs astrophysical-BH distinction (sleeping potential), and a new mathematical sketch (§1.5) deriving the apparent cosmological expansion from uniform brane translation under the OCS observation regime, with explicit deceleration-parameter sign analysis classifying the de Sitter / matter-dominated / phantom regimes. — Abstract rewritten to lead with the foundation. References Wetterich (2013) "A Universe Without Expansion", Penrose (2010) "Cycles of Time" monograph, Almeida (2001) and Montanus (2001) arXiv preprints, with proper distinction between peer-reviewed journal articles, monographs, and preprints. — Apparent acceleration of cosmological expansion is identified as a scale-lens effect (W-radial scale gradient of bulk imprint), not as accelerating brane contraction; brane translation along -W is uniform. — Astrophysical "black holes" (M87*, Sgr A*) interpreted as horizonless exhausted fountains; the term "true black hole" in HBR refers to brane-free bulk regions with no astrophysical counterpart. Standard BH formation narrative has no direct analog in HBR ontology. — Standard Big Bang narrative does not have direct ontological standing in HBR; cosmological observations are scale-lens projections of W-stratified bulk imprint. — Full Part renumbering: Part I (Foundational Picture, NEW), II (Cosmic Architecture), III (Vortex Dynamics), IV (Tensor Kinematics, promoted from XIV), V (Lagrangian, was XV), VI (Galactic, was V), VII (Compact Objects, was XVII), VIII (Cosmology, was VI), with Parts IX-XX renumbered. Builds: 258 pages (EN), 241 pages (JP). Single-author work by Yuichi Yamamoto. V30 supersedes V29.2 (DOI 10.5281/zenodo.20031326). Concept-DOI chain: V28 → V29 → V29.1 → V29.2 → V30.