THE ELECTROWEAK TRANSITION STATE, THE GEOMETRIC WEINBERG ANGLE, AND THE HIGH-ENERGY BREAKING OF THE EINSTEIN EQUIVALENCE PRINCIPLE (XXXVII v6)

Abstract

This volume (Part XXXVII) of the FCD-RBv6 pregeometric framework completes the unification of the electroweak sector and formalizes the high-energy breaking of the Einstein Equivalence Principle (EEP). We reject the existence of fundamental, independent vector bosons (W±, Z0) propagating in the vacuum. Instead, the weak interaction is derived as the elastodynamics of a trans-brane Einstein-Rosen (ER) dipole during topological well-switching (snap-through buckling) within the AdS5 bulk. The mass of the W boson (MW ≈ 80.4 GeV) is analytically derived as the transient elastic deformation energy accumulated in the local metric scaffolding before the critical buckling threshold (λc = 0.50) is reached. The heavier mass of the Z boson (MZ ≈ 91.2 GeV) reflects the higher shear resistance of the bulk under axial compression without the mechanical relief of flavor-switching. The Weinberg mixing angle (sin²θW ≈ 0.223) is derived as the geometric projection of the transverse brane shear against the longitudinal tension of the ER throat. Crucially, we formalize the high-energy breaking of the EEP: as a body approaches v → c, its inertial mass (the elastic shear resistance of the bilateral anchors, F_anchor = -γ σ0 v) diverges (mi → ∞), while its active and passive gravitational mass (mg) remains strictly constant, governed by the static, zero-entropy (S = 0) catalytic bare mass of its constituent quarks (~86g for a 70 kg scale equivalent). This decoupling eliminates coordinate singularities, prevents relativistic self-attraction anomalies, and completes the reduction of all fundamental forces to the elastodynamics of a bilateral vacuum.