The Universal Stability Principle (USL): A Recurrent Critical Balance Threshold in Driven-Dissipative Systems

This work introduces the Universal Stability Principle (USL), a general principle predicting stability and pattern transitions across nonlinear systems. The law defines the boundary between ordered and unstable regimes by the ratio ϕ=F/C = F/Cϕ=F/C, where FFF represents driving and CCC dissipation. Using simulations of reaction–diffusion fronts, coupled-field models, and noise-driven systems, we demonstrate that F=CF=CF=C universally marks the onset of instability. The study unifies diverse domains — from morphogenesis and ecology to neural dynamics — under a single geometric criterion for nonlinear stability. All data and simulation scripts are provided for full reproducibility.