The CKM Quark Mixing Matrix from Foam Cell Geometry
Abstract
Two of four Wolfenstein parameters derived from truncated octahedron geometry. The Cabibbo angle θ_C = π/F where F = 14 is the face count: sin(π/14) = 0.22252 (observed 0.22500, 1.1%). The parameter A = r₁/C_A = (9−√17)/6 = 0.8128 (observed 0.826, 1.6%). A new connection is established: m_d/m_s ≈ sin²(π/14) to 1%, providing a geometric origin for the Froggatt-Nielsen texture. Zero free parameters.
Fields of Study & Subjects
X-ray Diffraction in Crystallography
Liquid Crystal Research Advancements
Analytic and geometric function theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 24 March 2026
- Language
- EN
- Document type
- Preprint