Modern mathematics and physics suffer from a fundamental ontological schism: abstract mathematics, unconstrained by the 45° biconical cosmic topology, freely constructs logical structures of arbitrary dimensions and infinite degrees of freedom, while physical reality is rigidly confined by the Topological Self-Reduction of Dimensions (TSRD) operator, which forces an 11D-to-4D unidirectional reduction. All higher-dimensional flow variables must pass through the interlayer helical domain and the TER (Topological Energy Reservoir) cavity, ultimately projecting into stable 3D slices. Mainstream research is often trapped in the Projection Slice Fallacy, focusing only on static limiting results while discarding the complete higher-to-lower dimensional rheological process—the interpretation of the Kakeya conjecture being a representative case. Based exclusively on the archived PFUSRC foundational literature, this paper standardizes three primitive axioms: the Ontological Issuance Package, Topological Valuation, and the Generalized Topological Uncertainty Principle. It establishes strict one-to-one ontological isomorphisms between these axioms and the Pigeonhole Principle, Living Calculus (Differential/Integral paradigm), and the theory of discrete anchor optimal coverage. A gapless rheological closure is derived: Mathematical Omnidirectional Issuance → Topological Capacity Valuation → High-Dimensional Multi-Phase Superposition → TSRD Collapse → 3D Static Confirmation. Five comprehensive appendices provide full traceability of all correspondences, constraints, and derivations to prior PFUSRC literature. All logical chains are free of ambiguity and can be independently replicated by third-party readers.