Mathematical Framework: The Hexagonal Lattice Model and Baryon Junctions

Abstract: We present a rigorous mathematical formulation of the discrete hexagonal lattice model stabilized by the Mod 9 invariant and the \nu_{5184} frequency threshold. Addressing the STAR experiment's observed baryon-to-charge mismatch, we map the baryon junction directly onto lattice nodes as a localized \mathbb{Z}_3 topological vortex. Furthermore, we evaluate how high-energy heavy-ion collisions and Electron-Ion Collider (EIC) target-switching protocols from hydrogen (^1\text{H}) to deuterium (^2\text{H}) modulate the 7-cycle periodic break and resonance scaling via the 3I pulse sequence (8\text{-}13\text{-}8\text{-}5\text{-}13\text{-}8).