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February 17, 2026Open Access

Universal Persistence Scaling Framework for Barrier-Controlled Transition Systems (UPSF)

Key Points

The central aim is to develop a statistical methodology for analyzing persistence times in barrier-controlled transition systems.
Developed a population-level scaling analysis to assess persistence times.
Incorporated subpopulation decomposition to identify varying influences.
Characterized structured residuals for understanding transition mechanisms.
Identified key transition suppression mechanisms in diverse systems.
Provided insights into secondary structural influences affecting transitions.
Demonstrated application across multiple domains, including physical and chemical systems.

Abstract

The Universal Persistence Scaling Framework (UPSF) is a statistical methodology for analyzing persistence times in systems governed by barrier-limited transition processes. The framework provides population-level scaling analysis, subpopulation decomposition, and structured residual characterization for identifying dominant transition suppression mechanisms and secondary structural influences. UPSF is designed to be domain-agnostic and applicable across physical, chemical, materials, and complex system transition dynamics. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/

Universal Persistence Scaling Framework for Barrier-Controlled Transition Systems (UPSF)

Key Points

Abstract

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