A zero-parameter model derives Standard Model particle masses from Platonic solids, suggesting new physics insights.
A zero-parameter model deriving all 15 Standard Model particle masses from the geometry of five Platonic solids. The mass formula m_i = m_Planck × α^N × G_i uses the fine structure constant expressed through π and φ, scale levels N as Platonic combinatorial numbers, and geometric G-factors from faces, vertices, edges, dihedral angles, and vertex defects. Version 2.0 includes: - All 15 G-factors (13 exact, 2 within 0.01%) - 27+ exact algebraic identities - Closed {W, u, ν₂, ν₃} algebra with Pythagorean relation - Koide formula explained as F_Tet/E_Tet = 2/3 - Muon g-2 prediction: Δa_μ = 2.481×10⁻⁹ (0.37%) - Dark matter prediction: 123 GeV - Radiative corrections (all σ < 3) - W boson mass: 80.376 GeV (PDG σ = 0) - 7 mixing angles (PMNS + CKM) - 5 cosmological parameters (Ω_total = 1 exact) - Gauge coupling mirror symmetry - NEW: 7 nested Merkabas in Flower of Life - NEW: Scale level identities (9×10=90=ΣE, 8×11=88 in α) - NEW: Geometric origin of N = {8,9,10,11,14} - 9 testable predictions Previous version: DOI 10.5281/zenodo.18764285
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Yuriy S. Vinogradov (2026) studied this question.
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