经典物理学、现代控制论与系统生态学仅能刻画局部尺度、单一领域的系统演化规律,尚未形成适配全尺度、跨领域开放耗散系统稳态存续的统一底层元规则体系。本文原创提出闭环、尺度、物理底线三条元公理,严格完成公理独立性、完备性形式化数学证明,构建连续时滞反应‑扩散三元偏微分方程组与离散欧拉迭代方程组两套统一数理模型,完整实现三公理量化嵌入。 本文核心工作:(1) 给出三条公理标准化文字定义、无量纲数学表达式与波普尔标准可证伪判定条件;(2) 构造三组互斥动力学反例,严格证明三公理两两独立、无逻辑蕴含关系;(3) 将效率、公平、熵减、鲁棒性、创新等系统核心概念全部归约为三公理耦合衍生量,证明该三元集合是刻画开放耗散系统的最小完备公理集;(4) 定义三维归一化公理状态向量,推导连续全域 PDE 与离散迭代两套标准方程,完整嵌入闭环时滞项、尺度应力约束、不可逆底线阶跃算子,并修正了公理层非线性项的稳态收敛方向,使系统稳态从(0,1,0)修正至(0.92, 0.05, 0.88);(5) 明确方程组稳态充要条件,给出经典物理、生命系统理论退化推演路径。 该公理体系统一覆盖微观细胞体系、流体化学系统、天体演化系统、生态集群系统与人类社会系统等全域开放耗散体系,具备严格的跨尺度普适性与科学可证伪性。全文所有数理推导与模型构建过程均可完全复现,配套离散仿真开源代码与标准化参数模板已归档至开源附件。 Classical physics, modern cybernetics and system ecology can only characterise system‑evolution laws at local scales and within single domains. They do not yield a unified underlying set of meta‑rules for the steady‑state persistence of cross‑scale, cross‑domain open dissipative systems. This paper originally proposes three meta‑axioms: Closed‑Loop Axiom, Scale‑Matching Axiom and Physical‑Bottom‑Line Axiom. Formal mathematical proofs for axiom independence and completeness are rigorously carried out. Two unified mathematical‑physical models are constructed: the continuous time‑delay reaction‑diffusion ternary partial‑differential‑equation suite and the discrete Euler‑iteration equation suite, which fully embed the three meta‑axioms in quantifiable form. The core contributions of this paper are as follows:(1) Provide standard verbal definitions, dimensionless mathematical expressions and Popper‑standard falsifiability criteria for the three meta‑axioms;(2) Construct three mutually exclusive dynamical counter‑examples to strictly prove pairwise independence among the three axioms, with no logical implication between them;(3) Reduce core system concepts including efficiency, fairness, entropy reduction, robustness and innovation entirely to coupled derivatives of the three meta‑axioms, demonstrating that this ternary set constitutes the minimal complete axiom set for describing open dissipative systems;(4) Define a three‑dimensional normalised axiomatic state‑vector, derive two standard formalisms: continuous global PDEs and discrete iteration equations. Fully embed closed‑loop time‑delay terms, scale‑stress constraints and irreversible bottom‑line step operators. The steady‑state convergence direction of axiom‑layer nonlinear terms is corrected, shifting the system steady‑state from \(0,1,0) to (0.92, 0.05, 0.88) ;(5) Clarify necessary and sufficient steady‑state conditions for the equation suite, and present degradation‑deduction pathways toward classical physics and living‑system theories. This axiomatic system universally covers open dissipative systems across scales: microscopic cellular systems, fluid‑chemical systems, astrophysical‑evolution systems, ecological‑community systems and human‑social systems. It features strict cross‑scale universality and scientific falsifiability. All mathematical derivations and model constructions in this paper are fully reproducible. Open‑source discrete‑simulation code and standardised parameter templates are archived as supplementary open‑source attachments.
Guojun Yang (2026) studied this question.