Non-Abelian Gauge Unification and Closed Ternary Commutator Algebras within Anisotropic Conformal Spacetime Radii

This article establishes a rigorous mathematical unification of non-Abelian Yang-Mills gauge dynamics embedded within the Phase-II Conformal Metric Modulation (CMM) framework. We project the pure SU(3) field strength tensor onto a discrete manifold governed by a balanced ternary logic framework (T = {-1, 0, +1}), scaling link capacity via the ternary compression factor (kappa ≈ 0.630929). We derive a closed algebraic system for the discrete projection operators where standard continuous commutator relations collapse identically onto the symmetric neutral vacuum state (0), functioning as an absolute topological information sink that eliminates the necessity of unphysical Faddeev-Popov ghost fields.