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
Year: 2026
Type: software
Abstract: 初代三元统一理论依托三大存续公理、杨氏时滞扩散方程与乘积健康势构建复杂系统统一分析框架,但全行业大数据复测暴露出公理泛化、动力学参数通用性差、健康势误报高、FII 指标依赖主观打分等缺陷。本文开展体系深度优化与工程适配拓展,严格界定理论适用范畴为人类活动相关开放耗散系统,剔除无人工干预纯自然系统以消除理论反例;引入外部代偿系数\(k_{in}\)、环境冗余系数K、修复潜力系数S,将绝对化公理升级为带弹性约束定理;在杨氏方程增设交叉耦合项,构建分层随机偏微分 SPDE 模型并配套机器学习行业参数标定库;重构分段缓冲健康势,搭配时序滑动平均滤波算法,同时将 FII 改造为多维度客观加权统计指标。经企业、电网、人工生态多场景仿真验证,优化模型整体误报率下降约 40%,跨领域数据预警 AUC 可达 0.86~0.90。优化后的理论解决初代体系自洽性短板,可适配陆地各类工程与月球、火星等星际驻留设施的稳态风险研判,完成从基础概念到可落地、可复现、跨星际通用成熟风险分析框架的迭代升级。The original Tripartite Unified Theory constructs a unified analytical framework for complex systems based on three survival axioms, Yang’s time-delay diffusion equation and multiplicative health potential. However, cross-industry big data verification reveals obvious deficiencies including over-generalized axioms, poor universality of dynamic parameters, high false alarm rate of health potential and subjectivity of FII indicators. This paper carries out in-depth theoretical optimization and engineering expansion. The applicable scope is strictly limited to human activity-related open dissipative systems, and pure natural systems without human intervention are excluded to eliminate counterexamples. Three correction coefficients including external compensation coefficient \(k_{in}\), environmental redundancy coefficient K and repair potential coefficient S are introduced to transform absolute axioms into constraint theorems with flexible boundaries. Cross-coupling terms are added to Yang’s governing equation, a layered stochastic partial differential equation (SPDE) model is established, and a machine learning parameter calibration library for various industries is built. A piecewise buffer health potential is reconstructed combined with time-series moving average filtering algorithm, and FII is transformed into multi-dimensional objective weighted statistical indicators. Simulations covering enterprises, power grids and artificial ecosystems show that the optimized model reduces false alarm rate by about 40%, and the early-warning AUC of cross-domain datasets ranges from 0.86 to 0.90. The optimized theory fixes the self-consistency defects of the original system, and can be applied to steady-state risk assessment for various terrestrial projects as well as lunar and Martian outposts. It realizes the iterative evolution from basic conceptual hypothesis to a mature, reproducible and interstellar universal risk analysis framework. Global Open‑Source Guide to Ternary Steady‑State Theory (TSST): DOI:https://doi.org/10.5281/zenodo.22821646
Author: Yang, Guojun
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7163681724