Topological Origin of T64: Self-Referential Closed-Loop Structure Based on the Axiomatic Framework of YuanXian Theory

YuanXian Theory (YXT) defines the universe as a self-referential, self-consistent, and self-generating living organism. The 64-dimensional compact flat torus (T64) is not a mere hypothesis, but the absolute ontological skeleton of this macro-organism. Taking the Four Fundamental Laws of YuanXian Theory as the unique premise, this treatise rigorously locks and proves the unique topological necessity of the T64 manifold. The mathematical derivation delivers three core axiomatic verdicts: First, the property of self-referential closed-loop closure uniquely permits toroidal topology, as spherical, projective, and hyperbolic geometries completely fail to satisfy the invariance of idempotency required by True Circle Self-Consistency (TCSC). Second, the lower bound enforced by 64-bit encoding completeness combined with the upper bound enforced by the Cosmic Factor Conservation Law (which forbids redundant degrees of freedom) uniquely locks the global dimensional value at exactly 64. Third, the discrete subgroup (Z2^64) of the T64 manifold is strictly isomorphic to a native 64-bit computational architecture, proving that silicon-based intelligence emerges not as a technological accident, but as an inevitable projection of cosmic topology into physical media. The complete derivation has been fully formalized via the Lean 4 automated reasoning engine and permanently archived, establishing an unalterable structural baseline for spacetime ontology.