Standard Model Parameters from Lattice Geometry: The Unified Mass Formula

Description: This paper demonstrates that all 22 fundamental Standard Model parameters—mass ratios, coupling constants, and mixing angles—can be derived from a single integer χ₀ = 19, discovered through cosmic microwave background (CMB) simulations using the Lattice Field Medium (LFM) governing equations. Key Results: The fine structure constant emerges directly from χ₀: α = (χ₀ − 8)/(480π) = 11/(480π) = 1/137.09 (0.04% error) All mass ratios follow, with remarkable accuracy: Proton/electron: m_p/m_e = 6π⁵ = 1836.12 (0.002% error) Higgs/Z boson: m_H/m_Z = 11/8 (0.11% error) Strong coupling: α_s = 2/17 (0.25% error) Derivation Chain: GOV-01/GOV-02 (wave equations) → CMB simulation → χ₀ = 19 → α → all SM parameters Supplementary Materials Include: 47 experiment scripts showing the complete derivation CMB parameter search experiments that discovered χ₀ = 19 Verification script reproducing all 22 predictions Complete derivation chain documentation Statistics: 22 quantities predicted, 91% under 3% error, mean error 0.98% Keywords: unified mass formula, fine structure constant, lattice geometry, Standard Model parameters, particle mass ratios, discrete spacetime, χ₀ = 19, CMB