The First Law of Adaptive Repair: Empirical Verification of the RYE Constant

Reparodynamics introduces a unifying measure of adaptive efficiency called Repair Yield per Energy (RYE), representing how much verified repair is achieved per unit of energy spent. Across algorithmic, mechanical, and biological simulations, systems independently converge toward a stable equilibrium slope near 0.75, maintaining coherence between 0.80 and 0.94 with variance below 0.05. This empirical constant defines the First Law of Adaptive Repair, a domain independent efficiency law linking energy expenditure to measurable self correction. This paper shows that when systems repair themselves, from software to biological processes, they all reach a balance point where about three quarters of their effort translates into real improvement. This consistent pattern, called the RYE constant, suggests a shared principle in how things stabilize, heal, and adapt efficiently.