preprintOpen MINDFeb 5, 2026GREEN OA

Lepton Anomalous Magnetic Moments from Icosahedral Harmonic Structure

University of Southampton

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Abstract

Derives formulas for the electron and muon anomalous magnetic moments (g−2) entirely from icosahedral geometry and the twin prime gap. The electron uses four harmonic terms and the muon three, matching experiment to 0.094σ (Fan et al. 2023) and 0.75σ (Fermilab 2025 final) respectively. All quantities derive from three inputs: V = 12, F = 20, gap = 2. The hadronic index V(V−1) = 132 is identified as the irreducible geometric tension shared by proton and electron through dual projections of the 108-bridge. New in v7.0: cross-reference to Electron Foundations v2.0 for tension framework, physical basis for electron–muon offset via field extension, and relationship between multiplicative harmonic series and…

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Topics & keywords

Keywords
  • Muon
  • Electron
  • Magnetic field
  • Lepton
  • Hadron
  • Magnetic moment
  • Basis (linear algebra)
  • Harmonic
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