SM-6: The Charged Lepton Mass Spectrum from 600-Cell Lattice Geometry

Abstract: The charged lepton mass spectrum is derived from the 600-cell polytope with one calibration constant and zero free shape parameters. The Weinberg angle sin²θ_W = 3/(8φ) ≈ 0.2318 is derived from spectral traces of the 600-cell adjacency matrix (0.24% from PDG). The Koide phase is derived from the isotropic electroweak shift on the K3 cage face, giving θ = 132.731° (0.003% from PDG). Predicted muon mass: 105.47 MeV (0.18%), tau mass: 1774.1 MeV (0.15%).