Unified Principle of Cross-System Constraints: Research on Order Generation Mechanisms in Classical and Quantum Systems

There has long been a lack of unified explanations for the order-generating mechanisms in classical and quantum systems.Moreover, the core contradiction between the spacetime continuity described by general relativity and quantum discreteness has not been effectively reconciled.Taking physical constraints and information constraints as clues, this paper conducts a qualitative analysis of the logic of order generation in the two types of systems. The order generation in both classical and quantum systems follows the unified principle of “shrinking the possibility space”. Physical constraints and information constraints transform multiple possibilities in both systems into predictable outcomes. In classical systems, physical constraints eliminate system uncertainty through deterministic rules; physical constraints in quantum systems limit the diffusion range of uncertainty through probabilistic rules. The logic of information constraints in both systems follows the compression of the measure of degrees of freedom to indirectly regulate system behavior, with only specific implementation forms differing according to their respective theoretical frameworks.From the constraint perspective, the macroscopic spacetime continuity depicted by general relativity and the discreteness of quantum systems are not essentially opposed. They present different ordered forms due to the differences in constraint strength, constraint type and affiliated hierarchy of the two systems. The mechanism of the quantum-to-classical transition is as follows: physical constraints (such as energy-level discreteness) enable quantum systems to form stable structures, superposition and entanglement preserve internal degrees of freedom; and the coupling between the system and its environment induces decoherence, ultimately causing the transition of quantum states from coherent pure states to apparent classical mixed states. This study provides a new perspective for the theoretical integration of classical and quantum systems and the reconciliation of contradictions between general relativity and quantum mechanics. while also serving as a theoretical reference point for research into cross-system order generation mechanisms and the quantum-to-classical transition.