What question did this study set out to answer?

To formulate a dynamic law governing persistence in finite systems through the Unified Coherence Formula.

May 1, 2026Open Access

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

This paper extends the Unified Coherence Formula into a dynamical law governing persistence in finite systems. It formalizes the relationship between divergence (Δ), irreversible accumulation (K), and finite resolution capacity (ρ) as a time-evolving constraint. The result is a bounded load evolution model in which stability, saturation, and collapse emerge as necessary structural states. The formulation integrates relational ontology, irreversibility, and capacity limits into a single persistence condition that applies across cognitive, computational, biological, and physical systems.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Authors

Dean Tyldesley

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

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

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Actions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study