Structural Stability, Entropy Dynamics, and the Architecture of Order Complex systems—from galaxies and ecosystems to neural networks and social platforms—do not remain random forever. As interactions accumulate, patterns emerge, stabilize, and sometimes collapse. At the heart of this transformation lies structural stability: the capacity of a system to maintain its qualitative behavior under small perturbations. When structural stability is high, a system resists disruption and preserves its core organization even as conditions fluctuate. In thermodynamics and statistical mechanics, entropy dynamics describe how disorder, uncertainty, or randomness evolve over time. Classical views associate entropy with inevitable decay: closed systems tend toward maximum disorder. Yet in open, driven, or far-from-equilibrium systems, entropy…