Back to Publications

RFT 13.8: Geometric Origin of CKM and PMNS Mixing and CP Violation

Version 1.0 Published: November 2025
CKM Matrix PMNS Matrix CP Violation Flavor Physics
View Interactive v2 (General/Advanced) Download PDF Download Full Document (DOCX) View on GitHub

Abstract

Derives the complete flavor structure of the Standard Model from twistor geometry, predicting all mixing angles and CP phases from first principles without free parameters.

Key Results

  • CKM matrix elements from twistor overlaps: |V_ud| = 0.97446
  • PMNS angles: θ₁₂ = 33.44°, θ₂₃ = 49.2°, θ₁₃ = 8.57°
  • CP phases: δ_CKM = 1.20 rad, δ_PMNS = 1.36 rad
  • Explains flavor puzzle: why 3 generations with these masses
  • Predicts neutrinoless double beta decay rate