PFUSRC₀5: Theory of Logical Origin

This paper establishes logic as the sole innate ontological foundation of the Universe. Based on the ontological reconstruction of zero, it strictly defines three primordial entities: Primitive One (1), Coupling Zero (0), and Background One (1°), and erects two ultimate axioms: the Axiom of Primitive Unity and the Axiom of 4D–11D Optimal Closure. Supported by 45° double-cone topology, the rigid 1→5→11 prime dimension pathway, the intrinsic cosmic constant π₁=12/11, the β₁ global operator, explicit–implicit sevenfold logic, and prime camp point geometry, this work reveals the origin and nature of time, mass, matter, space, fields, energy, information, motion, spin, and fundamental interactions. This theory strictly distinguishes Global No First Cause from Four-Dimensional First Cause, and constructs a complete, topologically closed, gapless chain from logical ontology to the four-dimensional cosmos. It naturally unifies and explains long-standing puzzles in physics and mathematics: quantum fluctuation, decoherence, the arrow of time, wave-particle duality, and Gödel’s Incompleteness Theorems. It also clarifies the cyclic entanglement between logical ontology and manifested results, the concentration gradient of ontological ordering components in living and inanimate matter, and the ontological separation between free-state entities and three-dimensional condensed matter. The framework is self-consistent, geometrically unique, dynamically complete, and provides the ultimate ontological foundation for the PFUSRC unified system. Breakthrough Point: Quantum fluctuations originate from the primordial perturbation of Coupling Zero, which provides a unified origin for vacuum energy, cosmic initial conditions, and spacetime structure.