From Heavy Spectral Participation to SU(3) Family Holonomy: Weighted Contractions, Defect Geometry, and Determinant-Locked Transport

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.