PFUSRC 24: From Path Integral to Primordial Topology: On the Noetic Origin of the Action and the Projection Illusion of the Optimal Path

Feynman’s path integral treats quantum evolution as a sum over all possible histories, yet mainstream physics cannot explain the ontological origin of path distribution, weight generation, or the emergence of optimal trajectories. Based on the PFUSRC axiom system, this paper addresses three core assertions: (1) The “all-paths” concept is reinterpreted as a global topological spread determined by primordial geometry, not a literal traversal. (2) The observed optimal path is a low-dimensional projection illusion, not the real evolutionary mechanism. (3) The action and path weights are not fundamental; they arise from primordial topology and the Noetic Primordium operator Ω. This paper formalizes the Noetic Primordium as a mathematical operator on path space, defines the β₁ field as the background geometry for nonlocal coherence, and links the Noeton to the valuation axiom. Unifying PFUSRC 18, PFUSRC 22, and PFUSRC 23, this work provides a complete origin-level interpretation of the path integral and an axiomatic foundation for quantum ontology.