Dynamic Coherence Law: A Time-Evolution Formalization of Bounded Persistence

Key Points

• To formulate a dynamic law governing persistence in finite systems through the Unified Coherence Formula.
• Extended the Unified Coherence Formula to define time-evolving persistence constraints.
• Integrated concepts of divergence, irreversible accumulation, and finite resolution capacity.
• Developed a model depicting stability, saturation, and collapse in systems.
• Established a bounded load evolution model highlighting necessary structural states like stability and collapse.
• Demonstrated how relational ontology and capacity limits interact to define persistence conditions.
• Illustrated applicability to cognitive, computational, biological, and physical systems.

Abstract