Coupling Ontology: Long-Term Evolutionary Dynamics and Hyper-Cycle Resilience Mechanisms of Complex Giant Systems

Traditional research on complex systems is largely confined to short-cycle simulations or static cross-sectional analyses, making it difficult to characterize the true long-term dynamics of systems across macro-historical paradigm shifts. As the concluding expansion of the "Coupling Ontology," this study introduces the "Temporal Field Constraint (T)" to construct an evolutionary model for complex giant systems. Through a 30-year extreme tracking of a high-density human settlement (System S) across multiple phase transitions of macroscopic environmental potential fields, this paper proposes new concepts such as "Thermodynamic Hysteresis" and "Cross-scale Information Resonance Nodes." Empirical evidence demonstrates that the hyper-cycle survival and non-linear emergence of system vitality (V) not only rely on the 10% core relay nodes at the L2 layer but also benefit from the system's completion of "Topological Memory Encapsulation" during evolutionary bottlenecks. Furthermore, this study confirms that the topological algorithm possesses a high-dimensional structural isomorphism and self-organizing generalization capability across heterogeneous subsystems spanning immense latitudinal/longitudinal gradients and economic potential differences. This research aims to prove that complex social systems with extreme spatiotemporal heterogeneity provide an irreplaceable natural empirical sandbox for global Systems Science. Data Availability Statement The data supporting the findings of this study are derived from direct longitudinal observation and are contained within the article. This paper is the sixth in a series establishing the Coupling Ontology. All empirical data used across this series have been strictly anonymized, abstracted, and contain no personally identifiable, institutional, or geographical information.