The Electron: Foundations from Icosahedral Geometry
Abstract
We show that the electron's fundamental properties emerge from the geometry of the icosahedron. The electron and proton share 132 = V(V−1) irreducible tension channels, balanced through the hyperfactorial bridge H(3) = 108 via a D × (1/D) = 1 balance that spacetime preserves regardless of mass. The electron mass is the quark mass difference projected through the five-fold vertex geometry: m_e = m_u × ((19/11)^(7/5) − 1)/5 = 0.506 MeV (1.0% from measured). The anomalous magnetic moment base term is 1/(F × 43) = 1/860, where F = 20 faces and 43 is the upper twin prime bracketing V + E = 42. Two corrections are derived from the projection of irreducible 3D tension onto a single measurement axis: cross-axis vertex leakage +(V+2)/(2D) = +7/3 and self-pair exclusion −1/V² = −1/144. The resulting formula matches experiment to 1.3 parts per million with every term derived from icosahedral constants. A companion paper extends this to 0.094σ agreement via a four-term harmonic series.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Quantum and Classical Electrodynamics
International Science and Diplomacy
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 February 2026
- Document type
- Preprint