preprintOpen MINDFeb 8, 2026GREEN OA

The Electron from Icosahedral Geometry

University of Southampton

Indexed indatacite

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: the proton arrives via 12 divisor channels × 11, the electron via 36 coprime channels × 11/3 — 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: mₑ = mᵤ × ((19/11)^(7/5) − 1)/5 = 0.506 MeV (1.0% from the measured 0.511 MeV). The anomalous magnetic moment base term is 1/(F × 43) = 1/860, where F = 20 is the icosahedral face count and 43 is the upper twin prime bracketing V + E =…

Citation impact

5
total citations
FWCI
Percentile
References
2
Too recent for citation history.

Authors

1

Topics & keywords

Keywords
  • Vertex (graph theory)
  • Electron
  • Lattice (music)
  • Icosahedral symmetry
  • Spacetime
  • Magnetic field
No related works found for this paper.