Global Complexity Stability Theory (GCST) A Conceptual Framework Linking System Complexity, Stability, and Evolution Rate

Abstract This paper introduces Global Complexity Stability Theory (GCST) — a conceptual framework that describes how complex systems lose stability when the rate of environmental change exceeds their adaptive capacity. GCST proposes that instability emerges not only from increasing structural complexity, but also from accelerating dynamics. The theory suggests that effective stability decreases as the rate of change grows, even if complexity remains constant. A universal stability relation is derived, connecting system complexity, adaptive capacity, and environmental acceleration. The framework integrates elements of nonlinear dynamics, diffusion processes, and scaling behavior to provide a unified lens for studying tipping points and collapse in diverse systems — from ecosystems and technological networks to economic structures and cognitive environments. GCST is presented as a hypothesis open to numerical exploration and interdisciplinary validation.