The Hysteretic Resonance Law: Dynamic Memory and Directional Stability in Resonant-Torsional Systems

This paper introduces the Hysteretic Resonance Law as a new fundamental principle governing the temporal asymmetry and dynamic memory of resonant-torsional systems. Following the establishment of Rayleigh–Quotient equilibrium - the static equilibrium law and the dynamic self-stabilization law (Dynamostasis), the Hysteretic Resonance Law describes how inertia and feedback generate memory-dependent stability. The discovery demonstrates that stability is not a symmetric function of excitation, but a directional process governed by hysteresis in the resonant parameter space.