From UD Theory to Strong Interactions: A Rigorous Derivation of Color, Charge, and Confinement

We derive the strong interaction from the UD action without invoking any external gauge group, color hypothesis, or confinement postulate. The four UD fields admit two complementary classifications. The attribute-effect form of the interaction reveals three independent coupling channels for Ud, whose linear independence is proved by direct computation of the source vectors. Infrared approximate restoration of U(3) and gauging yield SU(3)c with eight gluons. The strong interaction is a composite emergent structure. The proton is identified as the minimal baryon: two Dd fields condense, generating an effective third channel; the residual Dᵤ field preserves the three-color topology. The neutron is a complete 3Dd+3Dᵤ composite. Neutron β-decay is derived: a Dᵤ phase-flip couples to Ud to produce the anti-neutrino. Fractional charges $+2/3$ and $-1/3$ follow from the proton structure and SU(3) symmetry. Confinement follows from the mutual containment axiom. Asymptotic freedom is derived via two independent routes: as the microscopic manifestation of singularity repulsion (with complete mathematical proof), and via a full one-loop β-function calculation matching QCD. All derivations proceed from the UD axioms.