Fermion Mass Geometry: Deriving Koide K=2/3 and the Cabibbo Angle from S^7/Z_3^3 Orbifold Geometry
Abstract
Fermion Mass Geometry (Version 3) Derives the Koide formula K = 2/3 for charged leptons from S7/Z_33 orbifold geometry. The sqrt(3) ratio beta/alpha emerges from SU(3) -> SU(2) x U(1) Cartan normalization. Electron smallness comes from enhancement point perturbations with Koide-locked projection (cos^2(gamma) ~ 0.155). Cabibbo angle theta_C = 45 deg / sqrt(12) = 12.99 deg (PDG: 13.04 deg). Quarks modeled by distortion operator L(s) with s = cos(phi) from Z_2 involution, yielding "elliptical Koide" formula.
Fields of Study & Subjects
Quantum and Classical Electrodynamics
International Science and Diplomacy
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 January 2026
- Document type
- Preprint