The Universal Meta-Stability Framework (UMSF): Quantifying Structural Resilience and Force Dynamics in Complex Systems

Abstract Traditional stability theory focuses on a system’s ability to return to a static equilibrium point. However, complex economic and ecological subsystems exist in a state of dynamic persistence termed meta-stability. This paper formalizes the Universal Meta-Stability Framework (UMSF), introducing two primary metrics: the Stability Index (Φ) and the Balance Deviation (Ψ). Through discrete-time simulations of 100-node weighted hypergraphs, we analyze system behavior under structural shocks (Black Swan events) and the efficacy of coordinated policy bailouts. Results demonstrate that system survival is not merely a function of structural strength, but of the synchronization between network topology and feedback latency.