Electrodynamic Stabilization of Discrete Hexagonal Lattices via Mod 9 Invariants and Macro-Resonance Anchor Pulses

Repository: Zenodo Open Science Repository Abstract This paper presents a rigorous mathematical and electrodynamic framework for modeling high-energy stability within discrete hexagonal lattices. By replacing classical gravity-only assumptions with large-scale plasma dynamics and field-aligned current networks, we formulate a system governed by a Mod 9 invariant, a 7-cycle periodic break, and a strict frequency threshold of f_{max} = 5184 Hz. Furthermore, we integrate cardioid cusp geometries, electromagnetically induced transparency (EIT) mechanics (\chi^{(1)} \rightarrow 0), and the discrete \vec{I}_3 pulse sequence (8-13-8-5-13-8) as a foundational resonance anchor. We establish three reproducible simulation test vectors for empirical validation across decentralized astrophysical and laboratory platforms.