PFUSRC 45: Unified Solution to 36 Fundamental Problems in Mathematics and Physics — Under the PFUSRC Primordial Topology Framework

Based on the complete axiomatic system and primordial topological framework of PFUSRC, this paper provides a unified, necessary, self-consistent, non-paradoxical, and falsifiable solution to the 36 core open problems in modern mathematics and physics. All problems share a single ontological origin: the 45° triple coaxial bicone topology, the cone–prism interlayer domain, the 1→5→11 dimensional evolution sequence, 55 global steady-state datum points, and 12:11 universal gauge invariance. This paper does not adopt a presuppositional geometric explanation; it starts from rigorous axioms and uses structurally proven theorems to solve each problem systematically. The results demonstrate that all seemingly independent puzzles are different low-dimensional projections of the same primordial topology. This work constitutes the ultimate empirical verification of the PFUSRC system and forms a complete logical closure with PFUSRC 00.