From Heavy Spectral Participation to SU(3) Family Holonomy: Weighted Contractions, Defect Geometry, and Determinant-Locked Transport
Year: 2026
Type: preprint
Abstract: We introduce a contraction-based operator-geometric mechanism linking heavy spectral participation to an exactly determinant-one non-Abelian rank-three connection. Canonical normalization produces a weighted cyclic contraction whose anisotropy generates non-normality and curvature. An anti-Hermitian defect construction yields a minimal 3+3 one-step unitary completion with an exactly traceless Wilczek–Zee connection. The isotropic limit is flat, while an exact rational rank-eight certificate establishes generic full su(3) holonomy on an open dense subset of the admissible weight space. Possible applications to quark-family mixing, CKM geometry and determinant-based strong-CP protection are discussed as conditional physical interpretations; no experimental evidence for new physics or complete Standard Model flavor derivation is claimed.
Author: Rozas Fernández, Gregorio
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212577137
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