Resonant Lattice Mechanics: A Deterministic Field-Based Model for Macroscopic Particles in Double-Slit Diffraction

Abstract This paper addresses the paradox of wave-particle duality in the double-slit experiment by reframing the experiment within a discrete hexagonal lattice vacuum model. By treating matter as resonant nodes of trapped Light—rather than point-masses or probability clouds—we resolve the observed interference patterns as mechanical responses of the background field. We introduce a "5184 frequency threshold" and a Mod 9 invariant to regulate lattice stability, preventing thermal runaway during high-energy flux. Through the derivation of a mass-to-frequency scaling law and the integration of a 3I pulse sequence (8-13-8-5-13-8), we demonstrate that interference is a deterministic consequence of lattice geometry and inertia-dependent wave-field interaction. Finally, we provide a structural refutation of probabilistic "observer effect" models, proposing instead that the universe functions as a self-correcting, resonance-governed system.