Hyperbrane Relativity (HBR) Version 16: 4D Spatial Vortex Dynamics and the Geometric Origin of Rotation

The Theory of Reality — From Quantum Spin to Galactic Stability Without Dark MatterThe 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 work (Version 16) presents the most comprehensive development of HBR to date, integrating: • Parts I–II: Foundational architecture with pure 4D space, volumetric brane structure, and matter as helical vortex structures extending along the W-axis. A unified force law combining gravity, vortex repulsion, and W-axis tension. • Part III: Complete resolution of three-body instabilities with zero singularities, zero ejections over 10⁷ dynamical times, and 87% chaos reduction. • Part IV: Quantum foundations including wave-particle duality from cross-sectional geometry, Pauli exclusion via topological vortex collision, and quantum spin as W-axis winding number. • Part V: Galactic dynamics without dark matter using the scale-lens mechanism. SPARC validation shows 81% of 110 galaxies with χ²ν < 2, and ΔAIC = +16. 3 favoring HBR over NFW dark matter halos. • Part VI: Unified cosmology with geometric Hubble constant H₀ = 70. 9 km/s/Mpc, Hubble tension resolution, dark energy as bicone volume expansion, and JWST anomalies as natural W-depth signatures. • Parts VII–VIII: Falsifiable predictions and philosophical implications. Central Thesis: The "missing mass" is not missing matter—it is the weight of scale structure, misidentified through point-mass Newtonian physics.