五维系统论的可计算转化:太阳系轨道协同系数的迭代校准与验证(预印本)

系统科学始终缺乏一套能够统一描述各类复杂系统的通用框架。本文以太阳系轨道为研究对象,展示了五维系统论向天体力学可计算工具转化的可行性与可操作性,通过参照系的迭代校准构建 ``赋值—聚合'' 正交稳健性检验框架,检验了协同系数 κ 的鲁棒性及其局限性,验证了协同性的本质是 ``五维互补''、乘积结构是五维系统论的互补协同原理的唯一忠实数学表达。进一步提出维度间协同系数作为维度映射规则合理性的内部自检工具,发现高协同(>0.8)暴露重复定义风险、中等耦合(0.2∼0.7)表征健康的维度关系。为系统科学方法论提供了一种可操作的协同量化范式。

文章代码下载链接:https://zenodo.org/records/19809846

System science lacks a universal framework for complex systems. Taking solar system orbits as a case study, this paper transforms the five-dimension system theory into a computable diagnostic tool for celestial mechanics. Through iterative calibration of the reference frame, an orthogonal ``assignment-aggregation'' robustness test framework is constructed to verify that the product structure of the synergy coefficient κ is the only faithful mathematical expression of the complementary synergy principle. The inter-dimensional synergy coefficient is further proposed as an internal self-check tool, revealing that high synergy (>0.8) exposes redundant definitions while moderate coupling (0.2∼0.7) characterizes healthy dimensional relationships. This work provides a replicable computational paradigm and an operational synergy quantification methodology for systems science.