Cross-Domain Stability Principles: Structural Persistence Across Complex Systems within the Paton System

Systems across engineering, biology, economics, organisational structures, and network infrastructures demonstrate remarkably similar patterns of stability and persistence. Although the mechanisms governing these systems differ, the structural conditions required for stability appear consistent across domains. This paper proposes that system stability emerges when system states remain compatible with governing constraints that permit admissible continuation. Within the Paton System framework, stability therefore reflects the ability of a system to maintain trajectories within admissible regions of its state space. By examining stability across multiple scientific domains, this paper identifies shared structural principles governing persistence in complex systems.