Paper XIII — Recursive TGRM Achieves Sustained Equilibrium Across 10,000 Generations: A Reparodynamics Validation Study

This paper documents the extended human-scale simulation of the Targeted Gradient Repair Mechanism (TGRM) within the theoretical framework of Reparodynamics — a universal science of adaptive self-repair and sustained equilibrium. Building on earlier 2,000-generation trials, this extended run maintained vitality ≈ 12, zero latency, and cumulative rebound 25 across 10,000 generations at baseline entropy 0.95. The control system fully decayed by generation 100, while recursive TGRM sustained equilibrium indefinitely. The results confirm Reparodynamics’ capacity to maintain stable function in high-entropy digital environments, validating long-term equilibrium dynamics as predicted by the Adaptive and Buffered Laws of Reparodynamics. Next steps: multi-system variance tests, hardware coupling in The Box, and biological system modeling for cross-domain replication.