Research Note: Resonance Dynamics and Entropy Mitigation in High-Energy Discrete Hexagonal Lattices

Abstract This paper addresses the scaling of a discrete hexagonal lattice system from a frequency threshold of 72^2 (5184) to 144^2 (20736). We demonstrate that the Mod 9 invariant remains consistent across this scale, allowing for the preservation of structural stability. We derive a scaled Fibonacci pulse sequence (21-34-21-13-34-21) and establish a precise decimal refinement for the F_7 term (13.520322) required to counteract non-linear entropy and quantum jitter in high-energy regimes.