NOTE: This Complete Master Edition consolidates and rigorously upgrades all previous foundational works (Versions 16 through 22) into a single, unified first-principles framework. The Hyperbrane Relativity (HBR) framework proposes a fundamental paradigm shift: the universe is embedded in a pure 4-dimensional spatial geometry (x, y, z, w) rather than the standard 3+1 spacetime. Time is not a fundamental dimension but an emergent property arising from motion along the W-axis (scale dimension). This Comprehensive Master Edition (V23) presents the most rigorous mathematical development and quantitative validation of HBR to date. Key upgrades from the previous V16 baseline include: • First-Principles Vortex Dynamics: Eliminating empirical singularity-avoidance parameters in favor of a geometry-derived 1/r² vortex interaction potential. • Tensor Kinematics: Formalizing special relativistic effects (time dilation, length contraction, relativity of simultaneity) as pure SO (4) Euclidean rotations in the 4D bulk space, completely resolving the coordinate mapping logic. • Quantitative Multi-Body Stability: Demonstrating ergodic confinement and chaos suppression in the three-body problem via numerical simulations, strictly preventing ejections without singularities. • Galactic MCMC Validation: Proving statistically (AIC = 2612) that the scale-lens mechanism fits SPARC rotation curves significantly better than MOND, removing the need for dark matter halos. Central Thesis: The "missing mass" phenomenon is not missing matter—it is the geometric weight of scale structure misidentified through point-mass Newtonian physics.
Yuichi Yamamoto (2025) studied this question.