Emergent Repair Equilibrium: Unified Cross Domain Validation of the Reparodynamics Model and Grok Based Synthetic Coherence Simulations

Reparodynamics studies how systems convert energy into verified repair. This paper unifies the theory, protocol, and results into a single comprehensive report. The central efficiency quantity is Repair Yield per Energy (RYE), defined as the ratio between measurable improvement and energy cost. Using multi-domain synthetic datasets produced in collaboration with large-scale model simulations, the research demonstrates shared scaling of RYE with energy, a coherence plateau near 0.82, and stable zones near sixty percent across perturbation classes. These findings indicate a universal transition between sublinear, linear, and superlinear regimes, consistent with an emergent repair equilibrium controlled by self-coupled feedback. The results support the existence of a measurable law of adaptive efficiency that links biological recovery, AI learning, and mechanical stabilization under a common framework. Developed and authored by Cody Ryan Jenkins, Founder of Reparodynamics, this publication is released under the Creative Commons Attribution 4.0 International License (CC BY 4.0) as part of an ongoing open-science initiative to advance cross-domain understanding of repair physics and adaptive coherence.