Potential Differential Zones (PDZ): The Final Component of the Hypothesis of Interface Evolution of Energy and Intelligence

This work introduces the concept of Potential Differential Zones (PDZ) as a universal condition for the emergence, retention, and long-term stability of complexity. PDZ are defined as spatial–temporal regions in which competing processes possess sufficient differences in potential to generate dynamics, while remaining below thresholds that would destroy emerging structures. Building upon the Hypothesis of Interface Evolution of Energy and Intelligence (HIEEI), this paper shifts the focus from mechanisms of evolution to the conditions under which evolution becomes possible. Distance is reinterpreted not as a purely geometric parameter, but as a selector of process regimes, determining where sustained non-equilibrium and structured interaction can occur. The framework is developed across multiple scales, including cosmological systems, planetary environments, biological organization, intelligence, social cohesion, and civilization-scale dynamics. Particular attention is given to the role of thermal regimes, planetary poles, and the Earth–Moon system as stabilizing reference cases of PDZ. PDZ is proposed as the final component of HIEEI, completing the conceptual chain from energy flow to interface evolution and long-term retention of complexity. Rather than offering prescriptions, this work provides a coordinate framework for identifying zones in which complex systems can persist and evolve.