PFUS Final Unified Theory: Total Proof of Full Structural Isomorphism Among Mathematics, Physics, and Cosmos

This paper presents the final collective proof of the Pythagorean Frustum Unified System (PFUS). Based on the unique primitive geometry of PFUS—the 45° coaxial double-cone frustum—this paper proves, without external assumptions, free parameters, or logical gaps, the rigid structural isomorphism between PFUS and all core frameworks of modern mathematics, modern physics, and cosmology in one unified treatment. This paper proves that all mathematical structures, all physical laws, and all cosmic spacetime geometry are merely projections of the primitive PFUS geometry; PFUS is the unique common primordial ontology of mathematics, physics, and the cosmos. The entire system achieves full self-consistency, total closure, perfect unification, and no remaining gaps.