We present a novel framework that organizes stable particle states in QCD via minimal closed Wilson-Holonomy transport graphs. Each stable particle corresponds to a minimal graph , from which we derive four coherence quantum numbers (a,b,c,d). These are invariants of the graph:a counts pair-class structures, b counts triple-class resonances, c labels the global holonomy shell, and d is the minimal holonomy closure order. Rational resonance conditions select stable configurations. Minimizing a coherence entropy function S(a,b,c,d) leads to a sparse spectrum of stable states. The mass spectrum emerges as a final consequence.
Publication Date: 2026-06-17