The Law of Field Evolution — A Dynamical Model of Structural Consolidation, Paradigm Shift, and Historical Residue

Why do complex systems tend to move from openness toward consolidation? Why are mature systems often more stable but less capable of renewal? Why do historical structures not simply disappear, but continue to shape later systems through residual constraints? This work proposes a dynamical model of long-term evolution in complex structured systems. The framework argues that system evolution is not random drift, but is shaped by finite capacity, differentiation-maintenance pressure, and path dependence. Under sustained input, a system tends to move from an open growth phase into a compressed consolidation phase, eventually approaching either compressive death or structural reorganization under sufficiently strong perturbation. The work further examines system vitality, paradigm shift, historical residue, structural renewal, and evolutionary closure. It argues that external perturbation is the key mechanism by which path dependence can be broken and a new evolutionary trajectory can emerge. The model aims to provide a unified explanation for cognitive rigidity, paradigm change, organizational decline, civilizational evolution, language change, complex system life cycles, and historical path dependence. This work is the concluding chapter of the Field Chapters of On Self-Manifestation. It synthesizes the dynamical relations developed in the preceding chapters and presents a long-timescale model of field evolution.