Geometric twist densities and physical flavour operators: From a leading Cabibbo relation to common mass, current and kinetic calculations

This paper develops the UQGAF flavour programme from geometric winding densities to explicit mass and interaction operators. It recomputes the original six-label Cabibbo-scale relation and tests the complete Gibbs matrix against the orthogonality required of a physical CKM matrix.

The constructive continuation supplies a conditional CSD(3) flavour alignment from holomorphic plane constraints and an exact F/D-flat solution. Heavy-doublet matching connects charged-mass transfer, kinetic normalisation, physical currents and particle thresholds within the same operator system. A protected missing right-handed mass column permits a radiative charged mass with quadratically small changes to left-handed mixing. The paper gives these mechanisms and their compatibility tests with disclosed inputs, while identifying the remaining microscopic operator-selection and complete quark-fit tasks.