The Five Axioms of Cosmic Evolution：A Cross-Domain Meta-Theoretical Framework_v3.0

Contemporary science faces a fundamental contradiction: on one hand, the scientific method relies on experimental reproducibility; on the other hand, cross-domain observations—from quantum mechanics' nocloning theorem, the second law of thermodynamics' irreversibility, chaos theory's sensitive dependence on initial conditions, to biological individuality—suggest that absolute repetition does not exist in physical reality. This paper proposes Five Axioms of Universal Evolution, a unified framework consisting of five fundamental axioms to address this contradiction: Axiom I (Evolutionary Uniqueness): In physical spacetime, the evolutionary process and microscopic state of any system are absolutely unique and non-repeatable. Axiom II (Stability-Complexity Optimality): The universe maximizes evolutionary complexity and uniqueness expression under the constraint of maintaining structural stability. Axiom III (Procedural Recapitulation): Any evolving system must fully recapitulate all prior stages contained in its source information—no skipping, no creation ex nihilo. Axiom IV (Ecological Necessity): Any system must be nested within an ecological coupling network containing other systems (living and non-living). Isolated systems do not exist. Axiom V (Group Reproducibility): Any group (species, population, society) maintains its overall stability through the reproducibility of core features among its internal individuals. Reproducibility is the prerequisite for individual uniqueness to unfold. This paper demonstrates that these five axioms form a self-consistent, falsifiable system and articulates the core structure: the fractal encapsulation of the Static Reproducibility Layer (S-layer) and Dynamic Evolution Layer (D-layer). The S-layer (e.g., physical constants, DNA sequences, knowledge bases, group templates) serves as a stable tool, providing a constraint framework for the D-layer's uniqueness expression; the D-layer (e.g., particle trajectories, individual development, AI generation paths) exhausts possibilities within the S-layer's boundaries. This framework provides new theoretical perspectives on the quantum-classical transition, the unification of biodiversity and developmental constraints, ecosystem evolution, social group stability, and AI system design. The paper presents five testable predictions and corresponding experimental designs.