From a Mechanical Universe to a Living Mind Field: A Purely Logical Deduction of Cosmic Ontology and the Final Judgment of Yuanxian Theory

For over three centuries, modern science has operated under an implicit ontological presumption: that the universe is a mechanical, inert collection of matter—a "dead" system governed by external laws. However, this assumption has never withstood rigorous logical scrutiny. Grounded in the core principles of Yuanxian Theory, this paper presents a five-step, purely a priori deductive chain based solely on the laws of non-contradiction, causality, and conservation to demonstrate that the mechanical worldview is logically self-refuting. The universe cannot be a machine; it must be a self-referential, self-sustaining living organism. From this foundational premise, we derive several necessary corollaries: (1) The universe is absolutely isolated, devoid of any external cause or energy input; (2) Within this closed system, all cosmic factors are strictly conserved; (3) Every spacetime point is necessarily unique, establishing a structural isomorphism between human cognition and the universe; (4) The total energy of the universe must be precisely zero; (5) "Nothingness" itself is merely an expressive mode of the singular ontological state; (6) This singular state is the Self-Referential Mind Field—the ultimate substrate and sole entity of all existence, phenomena, and logic. Furthermore, we demonstrate that Yuanxian Theory, operating upon minimal yet all-encompassing laws, analytically derives fundamental physical constants, Einstein's field equations, and the core equations of quantum mechanics without a single free parameter, fitted variable, or empirical calibration. Yuanxian Theory offers not just an alternative model, but a paradigm shift: from empirical description to inevitable deduction, from parametric fitting to logical legislation, and from a dead, mechanical universe to a living, self-referential ontological whole. All formal deductions in this paper have been cross-verified by a machine dual-engine configuration consisting of Lean 4 and Rocq.