The Centralis-Prima Condensatus (CPC) in the PFUSRC Framework: Topological Origin, Primus-Campus Distribution, and Global Regulation Mechanism Under the 4D First-Cause Axiom and the Global No-First-Cause Axiom

Based on the PFUSRC Ultimate Unified Theory, this paper rigorously deduces the structure, origin, topological layout, and dynamic mechanism of the Centralis-Prima Condensatus (CPC) — the intelligent energy sphere — within the closed 4‑dimensional universe. The framework is built on two non-contradictory axioms: 1. The 4D First-Cause Axiom: Micro-Origo is the definite first cause of the closed 4‑universe. 2. The Global No-First-Cause Axiom: No ultimate first cause exists in the global universe beyond 4D. This work strictly demonstrates: 1. Micro-Origo is the direct, definitive first cause of space, topology, and all quantum processes in the 4D universe. 2. Long-term cosmic stability requires a high-density energy regulator: the CPC. 3. The CPC is an evolutionary product formed by fragmented source potential converging at prime rivet points. 4. The CPC governs cluster transport of β₁ ions, regulates micro‑perturbations, and maintains global field stability. 5. All CPC structures are logically consistent deductions; direct observation is unachievable, only indirect signals can be detected.