Topological Stabilization of Discrete Hexagonal Lattices via Mod 9 Invariants and 7-Cycle Periodic Breaks

See DOI: 10.5281/ZENODO.21285923 Repository Record: Zenodo Open Access Pre-print Abstract This paper examines the stability criteria of discrete hexagonal lattices subjected to high-frequency energetic thresholds. We propose a mathematical framework wherein thermal runaway is mitigated through the implementation of a Mod 9 invariant coupled with a strict 7-cycle periodic break. Furthermore, we formalize the resonance anchor calculation incorporating the 3I pulse sequence (\{8, 13, 8, 5, 13, 8\}), establishing a deterministic boundary condition that prevents lattice degradation at critical frequency limits.