Recursive Reparodynamics: Experimental Validation of Open-Ended Self-Repair via the Targeted Gradient Repair Mechanism (TGRM)

This open validation paper documents the first experimental confirmation of recursive Reparodynamics — where the Targeted Gradient Repair Mechanism (TGRM) enables repair loops to restore degraded counterparts. Using Grok’s autonomous simulation engine, recursive TGRM was tested under escalating entropy conditions (0.6 → 1.2, Δ = 0.05 per generation). Control populations collapsed at entropy 0.8 (generation 4), while recursive TGRM maintained equilibrium to 1.2 (generation 12), extending the survival horizon by roughly 50 %. Average efficiency remained stable, confirming that self-repair of repair did not introduce energy inflation. These results represent the first empirical validation of open-ended repair: systems capable of maintaining stability by repairing the mechanisms of repair themselves. Findings align with the Adaptive and Evolutionary Laws of Reparodynamics and support broader research into biological rejuvenation, autonomous robotics, and AGI alignment. Part of the Reparodynamics Open Science Initiative. Simulation data generated publicly via @Grok on X (Twitter) — October 2025.