From Heraclitus to Conway (V3): Why Behavior Emerges from Structure in Dynamic Systems

Dynamic systems across different domains—such as temperature control, robotics, flow regulation, and battery dynamics—exhibit diverse internal mechanisms yet often display strikingly similar behavioral patterns. This work begins from the observation that systems are inherently changing processes and investigates why consistency can emerge within such variation. By comparing multiple systems under disturbance, a common feature is identified: behavioral similarity does not arise from the systems themselves, but from the structural patterns through which their behavior is expressed. This perspective extends the intuition of Conway’s Law beyond individual systems, suggesting that consistent behavior may persist across fundamentally different systems when similar structural forms are present. The study reframes the problem from analyzing system-specific dynamics to examining how behavior emerges through structure. This shift leads to a central question: if behavioral consistency is not determined by fully known internal mechanisms, how can such structure be understood or applied in systems that remain partially unknown?