Global Complexity Stability Theory (GCST) A Unified Framework for the Stability of Accelerating Complex Systems

Abstract Global Complexity Stability Theory (GCST) proposes that the stability of any complex system is determined by the balance between three fundamental quantities: structural complexity C, rate of environmental change α, and recovery/stabilization rate γ. The theory asserts that instability emerges primarily from acceleration: when α exceeds a critical threshold relative to γ/C, the system accumulates instability debt, leading to bifurcations, multistability, and potential collapse.