Formal Proof of Mass-Volume Equivalence and Mod-9 Invariance in a Discrete Hexagonal Lattice: The 5,634 Sirius B Anchor

Repository Archive: Zenodo Preprint Series Date: July 2026 Abstract We present the complete formal validation of the 5,634 Sirius B harmonic offset within a discrete hexagonal lattice. By treating the precessional grid (72^2 = 5,184) as a volumetric baseline and the Sirius B radius (5,634\text{ km}) as an injected mass component, we apply Archimedean displacement principles and modular arithmetic to establish a Mod-9 topological invariant. This paper demonstrates that the resulting system neutralizes thermal runaway through a 7-cycle temporal regulator, achieving absolute zero-point equilibrium at the center of the Lo Shu manifold.