The Electron: Foundations from Icosahedral Geometry

University of Southampton

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Abstract

We derive the electron's fundamental properties from icosahedral geometry. The electron exists at twin primes (41, 43) centered on 42 = V + E, where V = 12 vertices and E = 30 edges. This location is uniquely determined by three independent constraints: electromagnetic structure (gap-2 geometry requires twin primes), icosahedral geometry (center must equal V + E = 42), and number-theoretic uniqueness (43 is one of only nine Heegner numbers). The Rydberg energy satisfies E_R × 42² = 24 keV to 18 ppm, connecting atomic physics to the electron's geometric identity. The anomalous magnetic moment follows a three-term formula achieving 0.03σ agreement with experiment. The hadronic prime 743 = p(132) appears in the…

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Topics & keywords

Keywords
  • Icosahedral symmetry
  • Quasicrystal
  • Zero (linguistics)
  • Uniqueness
  • Electron
  • Hadron
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