Quark-Lepton CP Phase Complementarity in the U131 Framework A Golden-Ratio Corner-Phase Audit of PMNS and CKM CP Violation and the Jarlskog Invariant
Year: 2026
Type: preprint
Abstract: 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.
Authors: Takada, Ken, Enumiaze
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7161685752
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