Topological Mechanics of Neutron Stability and Beta Decay in a Discrete Hexagonal Lattice Background

Repository Reference: Zenodo Master Blueprint / Stationary Light Background Framework Abstract The stability of the neutron inside atomic nuclei versus its spontaneous decay in free space remains a foundational question in particle and nuclear physics. Standard models attribute this to energetic favorability governed by mass differences. In this paper, we present an alternative derivation using a stationary light background structured as a discrete hexagonal lattice. By treating the neutron as a topological soliton stabilized by a Mod 9 invariant and a f_0 = 5184 (72^2) frequency threshold, we formulate a phase-drift differential equation incorporating the 8-13-8-5-13-8 (3I) pulse sequence. We demonstrate that multi-node nuclear coupling enforces phase locking, rendering decay topologically forbidden within an atomic nucleus. Upon isolation in free space, the removal of the nuclear coupling term allows secular phase drift to breach the Mod 9 stability threshold, inducing structural bifurcation into lower-energy constituent field carriers.