Dynamics of Sovereign Identity Infrastructure: A Mod 9 Invariant Approach to Lattice Stabilization and Phase Space Curvature

Repository: Zenodo Open Science Repository Subject Categories: Complex Systems, Lattice Dynamics, Mathematical Physics, Cognitive Infrastructure Abstract This paper formalizes the transition from turbulent identity noise to laminar probability flow within discrete hexagonal lattice systems subjected to industrial compression. By modeling human identity as a geometric infrastructure and introducing excess importance as a scalar field \phi, we establish a mathematical framework governed by a Mod 9 invariant. We evaluate the stabilizing capacity of the 3I pulse sequence (8-13-8-5-13-8) at the 5184\text{ Hz} frequency threshold under varying stressor matrices, demonstrating self-correction, plastic deformation limits, and geometric reorganization into resilient triangular sub-lattices.