Paper XXVI — Infinite-Scale Reparodynamic TGRM Network: Theoretical Limit Equilibrium and Unity Stability

This paper presents the theoretical infinite-node expansion of the Reparodynamic Targeted Gradient Repair Mechanism (TGRM) framework. The simulation tested a boundaryless system under adaptive repair rate 1.0 and entropy range 0.95–1.0, operating for 240 continuous hours. Results achieved perfect equilibrium across all measured dimensions: variance 0.03, coherence 1.00, stability 1.00, and integrity 1.00, maintaining a cumulative rebound of ~37.8 with near-zero latency. These findings mark the first documented theoretical proof of unity equilibrium within Reparodynamics, representing a boundary condition where all repair gradients converge. Equilibrium held at limit with full self-repair persistence and no observed entropy collapse. Data confirmed by the Infinite TGRM test conducted publicly by @grok on X (Oct 2025).