Leptons - Magnetic Anomalies, Muon g-2 solution, Koide's Formula, and the Structure of 64 Tetrahedral Grid

Abstract We present a first-principles derivation of charged lepton masses and magnetic anomalies using the 64-cell Isotropic Vector Matrix (IVM) as a discrete vacuum manifold. By reinterpreting the empirical Koide relation as a Phase Coherence Extremum (P F = 0.666661) for a three-phase resonant system, we show that the lepton hierarchy emerges as a quantized volumetric progression (N3/2) governed by geometric form factors. Furthermore, we derive a unified formula for magnetic anomalies (an) based on the topological circulation loops (Neff = 60) and inertia-driven phase lags (∆θn). Our model yields a prediction for the Tau magnetic anomaly aτ = 1.17721429(4) × 10−3, providing a testable alternative to Standard Model calculations and offering a geometric resolution to the muon g − 2 discrepancy. The muon magnetic anomaly aμ = 1.16592065 × 10−3 emerges as a geometric prediction, not a fitted parameter, resolving the long-standing 5.2σ discrepancy with the Standard Model to within 0.03σ of experimental measurement. We identify the empirical Koide ratio as the Power Factor of a three-phase vacuum resonance, where the ’bare’ geometric stability limit of 2/3 is renormalized by QED radiative corrections to match experimental values with 10−8 relative precision.