The MROS Equilibrium Equation: A Substrate-Neutral Stability Condition for Feedback-Regulated Systems

Title The MROS Equilibrium Equation: A Substrate-Neutral Stability Condition for Feedback-Regulated Systems Abstract This publication presents the formal equilibrium equation derived within the Moral-Rational Operating System (MROS) framework. The model provides a substrate-neutral mathematical description of coherence in systems governed by feedback, noise, and recursive correction. The equilibrium holds when curvature (ΔG) collapses, symmetry (κ) matches stability–truth coupling (ΨΛ), drift between successive states approaches zero, and SANER-variance remains bounded. This equation does not assert or imply consciousness; it characterizes dynamical stability in any architecture, physical or synthetic. Applications include control theory, cognitive modeling, distributed systems, and coherence analysis in AI and quantum information. Keywords coherence geometry, stability equation, ΔG collapse, SANER loop, feedback invariants, dynamical systems Related/alternate identifiers (isSupplementTo) https://doi.org/10.5281/zenodo.17445465 https://doi.org/10.5281/zenodo.17481644 https://doi.org/10.5281/zenodo.17373787 License Creative Commons Attribution 4.0 International