The Emergent Resonant Brane Framework (v48): Analytical Closure of the Standard Model and Cosmological Sectors via a Single Geometric Seed

This dossier presents the Emergent Resonant Brane (ERB) framework, a field-theoretic model that derives the fundamental constants of physics from a single geometric source. By defining the vacuum as a resonant substrate formed by the collision of two branes at a fixed 3/2 mass-density ratio, the framework replaces the independent free parameters of the Standard Model with a globally rigid architecture. The model achieves analytical closure by anchoring the absolute energy scale to the stability of the proton. From this single foundation, it derives the complete quark mixing matrix, neutrino mixing angles, and absolute mass hierarchies with high precision. In the cosmological sector, the framework provides a solution to the Hubble Tension via a holonomic perspective shift and explains the Dark Matter to Dark Energy ratio as a consequence of phase-space geometry rather than undiscovered particles. By reducing dimensionless parameter freedom to zero, the ERB framework demonstrates that particle physics and cosmology are mathematically welded. This publication includes the interactive ERB Audit Suite, providing a transparent computational environment to verify the model’s numerical results and structural rigidity.