A Study on Critical Threshold Aging: Finite Temperature Freezing Threshold and SelfConsistent Evolutionary Closed-Loop Framework

Author: Feng Dejian Independent Researcher, Founder of the Unified Theory of Matter and Energy ORCID: 0009-0000-5793-9666 Web of Science ResearcherID: PQA-8034-2026 Abstract This study establishes a self-consistent closed-loop framework for local irreversible evolutionary processes, reconstructing the causal hierarchy of temperature, pressure difference, local space, structural stiffness, and evolutionary direction. Different from classical physics that treats time as an independent background coordinate and space as a pre-existing geometric container, this framework defines time as a process direction variable rather than a flowing parameter, and defines local effective space as a derived quantity of pressure difference. By constructing nonlinear elastic structural constraints and thermodynamic causal chains, this work derives the analytical explicit solution of the minimum critical freezing temperature for thermal-driven polymerization and degradation processes. The core prediction deviates fundamentally from the Arrhenius law: thermal-activated evolution does not decay asymptotically toward zero as temperature approaches absolute zero, but completely freezes at a finite positive temperature threshold. Tmin This paper further completes parameter sensitivity analysis, systematic error budgeting, finitecluster statistical fluctuation correction, and finite-size scaling law derivation. The final total kinetic rate equation unifies thermal power-law channel and temperature-independent quantum tunneling channel, providing fully falsifiable quantitative predictions for ultra-low temperature molecular cluster dynamics experiments. The framework maintains complete compatibility with energy conservation and does not overthrow existing thermodynamics but supplements a new underlying constraint logic for irreversible process occurrence conditions.A Study on Critical Threshold Aging: Finite Temperature Freezing Threshold and SelfConsistent Evolutionary Closed-Loop Framework