Discrete Hexagonal Lattice Stabilization via a Mod 9 Invariant and 7-Cycle Periodic Breaks

See Repository Identifier: Zenodo DOI: 10.5281/ZENODO.21330933 Abstract Thermal runaway in high-frequency discrete spatial lattices presents significant challenges to computational stability and energy dissipation models. In this paper, we formalize a stabilization framework utilizing a discrete hexagonal lattice governed by a Mod 9 invariant. By introducing a synchronized 7-cycle periodic break, the system effectively mitigates thermal accumulation at the threshold frequency of 5184\text{ Hz}. We derive the governing equations for the resonance anchor calculation, incorporating the 3I pulse sequence (8\text{--}13\text{--}8\text{--}5\text{--}13\text{--}8), and demonstrate that algebraic invariants of order nine provide sufficient constraint conditions to prevent structural divergence under high-energy state transitions.