Chromatic Constraint Satisfaction in a 5,184-Node Hexagonal Grid: A Mod-9 Invariant Approach to Topological Phase Stability

Repository Archive: Zenodo Preprint Series Date: July 2026 Abstract We present a formal mathematical framework resolving the thermodynamic stability limits of high-density resonance systems through a discrete hexagonal lattice configuration. By coupling a 72^2 = 5,184 computational grid with a Mod-9 topological invariant and a 7-cycle periodic temporal break, we eliminate thermal runaway (Curie point failure) during high-energy state transitions. Furthermore, we expand this architecture into Chromatic Constraint Satisfaction heuristics, evaluating whether numerical variables behave as discrete spectral frequencies or 3D vector directions within a 3x3 Magic Square constraint space.