Truth Precedes Verification: Cognitive Logic and Scientific Positioning under the Paradigm of Yuanxian Theory — An Epistemological Elevation and Machine-Verified Ontological Reconstruction

Traditional empirical science adheres to an inductive trajectory of "hypothesis--verification--revision--establishment," positioning empirical observation as the ultimate arbiter of truth. This paper systematically elucidates the cognitive paradigm of "Truth Precedes Verification" proposed by Yuanxian Theory (YXT). Rather than invalidating scientific methodology, this paradigm executes a structural elevation of epistemology. Yuanxian Theory selects the high-dimensional topological ontology of the 64-dimensional compact torus (T^64) as its axiomatic point of departure, leveraging the dual engines of Lean 4 and Rocq (Coq) to execute machine-grade formal verification, thereby anchoring the formal truth-value of the theory prior to the implementation of empirical experiments. Within this framework, empirical observation is restored from its role as an "arbiter of truth" to that of an "empirical attestation of theoretical deduction," whose utility is restricted to high-dimensional parameter calibration, mathematical error correction, and engineering boundary expansion; it possesses no validity to falsify the underlying foundational axioms. This paper further clarifies that falsifiability criteria are intended to delineate the effective domain of applicability of a theory within low-dimensional spacetime, rather than to overthrow logically self-consistent ontological axioms. Yuanxian Theory actualizes a fundamental paradigm shift from empirical induction to axiomatic deduction. 传统实证科学遵循“假说—验证—修正—确立”的归纳式路径,将经验观测作为真理性的终极裁决。本文系统阐释元宪理论(YXT)提出的“真理先行,验证在后”认知范式。该范式并非否定科学方法论,而是对认识论的结构性升维。 元宪理论以64维紧致环面(T^64)高维拓扑本体为公理起点,依托 Lean 4 与 Rocq (Coq) 双引擎完成机器级形式化核验,在经验实验开展前即锚定理论的形式真理性。在此框架下,实验观测由“真理裁决者”回归为“理论推演的经验印证”,其功能限于高维参数标定、数理误差修正与工程边界拓展,不具备否定底层公理的效力。本文进一步阐明,可证伪条款旨在界定理论在低维时空的有效适用范围,而非推翻逻辑自洽的本体公理。元宪理论实现了从经验归纳向公理演绎的根本性范式转换。