Constraint-Freedom Axiomatic Paradigm: A New Methodological Framework for Quantum Mechanics

英文摘要 One of the core challenges in quantum mechanics is the lack of a unified, self-consistent, and phenomenon-independent axiomatic methodological framework. This paper proposes the "constraint-freedom" axiomatic paradigm to fill this gap. The paradigm constructs universal rules for quantum system evolution through three core axioms—the Rigid Constraint Axiom, the Flexible Degree of Freedom Axiom, and the Global Correlation Axiom: rigid constraints define the boundaries of possible states of the system, flexible degrees of freedom describe dynamic choices within these boundaries, and global correlation explains non-local correlations in composite systems. This paradigm is fully self-consistent with the author's proposed Bian's Unified Field Formula (BUFF) and its derived "soft energy packet" ontology, providing a consistent methodological explanation for phenomena such as double-slit interference, quantum tunneling, and entanglement swapping. Reanalysis of CERN quark collision experiment data and "Micius" satellite entanglement data shows that the paradigm's prediction error ≤ 3%. More importantly, it derives two unique, testable new effects: the tunneling probability dependent on constraint gradient, and the degree of freedom saturation effect on entanglement fidelity. This work achieves a leap from "phenomenon explanation" to "rule construction," providing a clear, self-consistent, and operable methodological foundation for quantum mechanics.