Series Paper — SM-Line
Standard Model Series
SM-7: The Heavy Quark Mass Spectrum and Strong Coupling from 600-Cell Lattice Geometry
Strong coupling and three heavy quark masses from one calibration constant and zero shape parameters
α_s = 5/(8φ)
Abstract: SM-7 derives the heavy quark mass spectrum (charm, bottom, top) and the strong coupling constant from the 600-cell polytope geometry with one calibration constant (the charm mass) and zero free shape parameters. The strong coupling emerges from the same spectral trace formula as the Weinberg angle, with alpha_s = 5/(8 phi) approximately 0.386 arising from face-circulation modes of the lattice. The ratio alpha_s / sin^2(theta_W) = 5/3 is shown to be a topological invariant, and at the bare level the edge and face mode capacities partition cleanly as 3/8 + 5/8 = 1. The quark Koide phase comes out at 124.04° versus PDG's 124.09° (0.05% agreement), and the framework predicts m_b = 4.24 GeV (1.4%) and m_t = 169.8 GeV (1.7%).
- α_s = 5/(8φ) ≈ 0.386 at ~1% of PDG
- Quark Koide phase 124.04° vs PDG 124.09° (0.05%)
- m_b 1.4%, m_t 1.7% from charm calibration