Paper XIV — Multi-System Variance and Distributed Equilibrium in Recursive TGRM Networks: Reparodynamics Transition Toward Hardware Coupling

This paper documents two complementary multi-system variance simulations validating distributed equilibrium within Reparodynamics. The first experiment linked seven recursive Targeted Gradient Repair Mechanism (TGRM) environments under shared entropy coupling (0.95) with stochastic interference for 1,000 generations. Control systems decayed by generation 400, while the network stabilized at vitality ≈ 33, coherence ≈ 0.97, synchronization ≈ 0.8, and rebound propagation ≈ 0.6. Latency averaged ≈ 66. The second long-duration trial linked five systems across entropy ranges (0.9–1.0) for 10,000 generations, achieving sustained equilibrium with TGRM variance stable at 0.08, zero latency, and consistent rebound performance (24.3). Together, these results confirm that recursive repair mechanisms can propagate stability, coherence, and repair efficiency across linked systems, fulfilling the Layered, Buffered, and Evolutionary Laws of Reparodynamics. Next phase: Hardware coupling in The Box to evaluate real-world persistence under sensor drift and thermal fluctuation.