Discrete Hexagonal Lattice Stabilization via a Mod 9 Invariant at the 5184 Frequency Threshold

Archival Target: Zenodo Repository Date: April 2026 Framework: Discrete Hexagonal Lattice Dynamics and Resonance Stabilization Abstract Standard cosmological models often rely on stochastic distributions and unobserved dark matter components to account for galactic-scale mass discrepancies. This paper presents a deterministic, geometric framework utilizing a discrete hexagonal lattice stabilized by a Mod 9 invariant. We formalize the thermal runaway threshold at f = 5184 (72^2) and introduce a 7-cycle periodic break ("Sabbath" mechanism) to manage energy accumulation. Furthermore, we demonstrate how high-density stellar remnants function as physical ballast within the lattice nodes, providing a complete structural model for resonance anchoring without invoking non-baryonic anomalies.