Universal Flavor Geometry: The Sovereign Master Engine: A Geometric Derivation of Standard Model Parameters and Gravitational Coupling via 3/2-Brane Resonance.

Universal Flavor Geometry (ERB Framework) The Sovereign Master Engine: A Geometric Derivation of Standard Model Parameters and Gravitational Coupling via 3/2-Brane Resonance. This paper presents the formal conclusion of the ERB (Emergent Resonance Brane) Framework, reaching full algebraic closure in version v85. 5. 1. Unlike the Standard Model, which relies on 19+ empirical parameters, the ERB Framework derives fundamental constants from a single axiomatic seed—the Hexagonal Seed (= 1. 5). By modeling the vacuum as a dual-brane interference zone, we demonstrate that particle masses and coupling constants emerge as necessary geometric eigenvalues of a 4D metric. Key advancements in this definitive version include: Spin-Dependent Contraction: The resolution of the Higgs mass (125. 10 GeV) and VEV (246. 22 GeV) through a scalar Hessian double-contraction (C²). The Asymmetry Seal: A unified derivation of the weak CP-violating phase (₂₏ 68. 6^) and the neutrino mass sum (m_ 60 meV) as a holonomic area leak. The Einstein-Planck Bridge: The derivation of Newton’s gravitational constant G from the quantum scale via a 12 topological phase lock, bridging 22 orders of magnitude without free parameters. CKM Unitarity: Mathematical proof of CKM matrix closure to 10^-10 precision based on Bessel node geometry. The framework provides a "Zero-Fit" architecture, where every derived value matches current PDG and CODATA experimental targets with near-perfect precision. We offer falsifiable predictions for the lightest neutrino mass (1. 2 meV) and the muon g-2 anomaly as definitive tests for the proposed 3/2-brane resonance model.