Triunity Unified Theory; open dissipative systems; stochastic time-delay diffusion equation; health potential; risk early warning三元统一理论;开放耗散系统;随机时滞 - 扩散方程;健康势;风险预警

This upload contains a research paper titled Deepening and Expansion of the Triunity Unified Theory: Application to Boundary Reconfiguration, Model Optimization and Engineering Implementation. The Triunity Unified Theory, consisting of three major axioms, the Yang-type stochastic time-delay diffusion equation and the tripartite health potential, provides a unified mathematical framework for analyzing the evolutionary mechanism of complex systems. Massive public big data verification reveals that the original theory has limitations in universal applicability, versatility of dynamic equations, health potential error tolerance and indicator objectivity. This paper optimizes the theoretical system and supplements corresponding theoretical proofs, with human activity-related open dissipative systems as the research object, realizing boundary redefinition of theoretical scope, mathematical model optimization and practical engineering landing solutions.

本文为《三元统一理论的深化与扩展:适用边界重定、模型优化及工程化落地》研究文稿。三元统一理论包含三大存续公理、杨氏稳态时滞 - 扩散方程、三元健康势三部分,为复杂系统演化机理搭建了统一数学框架。但经多行业公开大数据校验,原理论在普适性、动力学方程通用性、健康势容错能力、指标客观性层面存在短板。本文对整套理论体系进行系统性修正与理论论证补充,以人类活动相关开放耗散系统为限定研究对象,完成理论适用边界重新界定、数学模型迭代优化,同时给出可落地的工程应用方案。