We propose the SΦG law as a unified, domain-agnostic quantitative framework describing self-organization across physical, biological, social, and technological systems. The fundamental dynamics are governed by the differential equation dI/dt = κ S G Φ, where I represents order information, S denotes internal structural connectivity, G is the growth rate of systemic flux, and Φ scales the fitness to boundary constraints. A comprehensive meta-analysis across 14 distinct empirical datasets demonstrates that the framework accurately predicts an organization phase threshold at S × G = 1.0 ± 0.05. The model yields an empirically calibrated universal coupling constant κ = 0.043 ± 0.002 with an aggregate explanatory power of R² = 0.817. Finally, we establish a strict, falsifiable criterion stating that any system exhibiting a scaling factor outside the interval κ = 0.043 ± 0.01 refutes the proposed law.
Soares et al. (Sun,) studied this question.