Study audits CP phases in quarks and leptons, suggesting a new approach to understanding CP violation.
This record contains Paper 054 of the Enumiaze Research Program. The manuscript presents a bounded U131 CP-phase complementarity audit combining cpphasev1-v6 and jarlskogv1-v6. The central candidate relation is that PMNS and CKM CP phases share the same golden-ratio upper-corner shift atan(phi^-2) while carrying complementary quarter-turn orientations: delta_PMNS,U131 = -pi/2 - atan(phi^-2) and delta_CKM,U131 = +pi/2 - atan(phi^-2). The PMNS candidate lies in the same negative lower-half sector as the embedded PMNS row, while the CKM candidate yields J_CKM,U131 = 3.179865e-5 using embedded CKM magnitudes and the standard Jarlskog formula. The paper explicitly blocks stronger claims: it does not claim exact CP-phase derivation, exact Jarlskog derivation, baryogenesis, or full derivation of the Standard Model. Mathematical definitions, algorithmic steps, exact-check summaries, and claim boundaries are provided for reproducibility; source code is not reproduced in the paper.
No takes yet. Share an insight, caveat, or question.
Takada et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: