Deepening and Expansion of the Three-Unified Theory: Redefining Applicable Boundaries, Model Optimization and Engineering Implementation
Guojun Yang · Zenodo (CERN European Organization for Nuclear Research) · 2026
The original Tripartite Unified Theory establishes the system survival axioms, time-delay diffusion dynamic equations and health potential evaluation framework. However, repeated verification with cross-industry big data reveals obvious defects including over-broad application scope, excessive model rigidity, subjective indicators and poor generalizability of parameters. This paper carries out systematic deepening and optimization of the theory. Firstly, the applicable scope is strictly limited to open dissipative systems related to human activities, excluding pure natural systems without manual intervention 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 steady-state equation, and a stochastic partial differential equation (SPDE) version with layered random noise is extended, together with a machine learning parameter calibration library for various industries. A piecewise tripartite health potential is reconstructed to realize differentiated judgment among safe, medium-risk and high-risk zones. The Feedback Integrity Index (FII) is revised into multi-dimensional objective statistical indicators with standardized industry weights. Multi-scenario simulations covering enterprises, power grids, artificial ecosystems and interstellar engineering 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. This iteration improves the self-consistency, universality and engineering practicability of the Tripartite Unified Theory, forming an integrated risk analysis tool applicable to terrestrial industries and deep-space habitats.初代三元统一理论构建了复杂系统存续三公理、时滞扩散动力学方程与健康势评价框架,但跨行业大数据复测发现其存在适用范畴宽泛、模型刚性过强、指标主观、参数通用性不足等缺陷。本文完成理论系统性深化优化:首先严格界定适用对象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边界约束定理;在杨氏稳态方程新增变量交叉耦合项,拓展含分层随机噪声的 SPDE 随机版本,配套机器学习行业参数标定库;重构分段型三元健康势,区分高安全、中风险、高危区间差异化判定,将 FII 改造为多维度客观统计指标并建立分行业权重标准。经企业、电网、人工生态、星际工程多场景仿真验证,优化后模型误报率下降约 40%,跨领域数据集预警 AUC 可达 0.86~0.90。本次迭代完善了三元统一理论的自洽性、普适性与工程落地能力,形成可适配地面产业与深空驻留设施的一体化风险研判工具。 Global Open‑Source Guide to Ternary Steady‑State Theory (TSST): DOI:https://doi.org/10.5281/zenodo.22821646