Electroweak Boson Masses from Icosahedral Geometry
Abstract
We derive the electroweak sector from icosahedral geometry. The proton contains three twin prime couplings with products 35, 143, 323 (sum 501). The VEV emerges as v = 501 × [(V−1)/(F+1)] × m_p = 246.09 GeV (0.05% error), where the projection factor 11/21 = (vertices−1)/(faces+1) follows from the equation (D+1)×5+1 = D×7, which uniquely determines D = 3. The Higgs mass is m_H = 501/4 = 125.25 GeV (exact match). The W boson involves only the boundary twin: m_W = 323/4 = 80.75 GeV (0.5% error). The Z boson involves additional structure: m_Z = (323+35+8)/4 = 91.5 GeV (0.3% error). The Weinberg angle follows: sin²θ_W = 1−(323/366)² = 0.221 (0.8% error). All five quantities derive from D = 3 geometry with zero free parameters.
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Computational Physics and Python Applications
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026
- Document type
- Preprint