Delta CP Prediction
Abstract
I predict the PMNS CP-violating phase from ellipsoidal geometry: δ_CP = −π × (4/7) × √33/7 = −84.4°, deviating from maximal CP violation by +5.6°. This prediction derives from Unified Structural Theory (UST), a geometric framework based on an oblate ellipsoid with eccentricity κ = 4/7 that has previously produced 32 sub-1% predictions of measured fundamental constants — including the fine structure constant, strong coupling, Weinberg angle, complete CKM matrix, proton charge radius (0.02% error), and neutron lifetime (0.17% error) — all from four integers {5, 7, 24, 40} with zero free parameters. The same framework derives the three measured PMNS mixing angles to: sin²θ₁₂ = 0.3067 (−0.10%), sin²θ₂₃ = 0.5464 (+0.08%), sin²θ₁₃ = 0.02220 (+0.90%). The CP phase completes the matrix as the fourth parameter. Physically, the formula reflects that neutrinos — unlike quarks — cross the portal between interior and exterior manifolds, accumulating a geometric phase proportional to the product of both eccentricities. This explains why leptonic CP violation is ~1/α ≈ 137 times larger than quark CP violation. This prediction is timestamped March 8, 2026, preceding expected measurements from Hyper-Kamiokande (~2029–2030) and DUNE (~2035). A measurement of δ_CP = −84° ± 10° would confirm the geometric origin of neutrino mixing.
Fields of Study & Subjects
Neutrino Physics Research
Particle physics theoretical and experimental studies
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 8 March 2026
- Language
- EN
- Document type
- Preprint