Unified Four‑Dimensional Mathematics V6.0 Complete Integrated Full Version

This thesis constructs a self‑consistent, algebraically closed, axiomatically rigorous and logically complete unified four‑dimensional mathematical system. Based on a complete set of primordial ontological entities including Primordial One 1, Coupling Interface 0, Background‑One 1°, One‑All G, Unit‑One, global operator β₁ and dynamic parameter π₁, the system strictly abides by four core constraint axioms: the Axiom of Primordial Unity, the Axiom of Four‑Dimensional Closure, the Axiom of Algebraic Closure, and the Axiom of Unique Assignment. Basic arithmetic operations correspond one‑to‑one with four inherent spiral motion forms of cosmic ontology, realizing direct and unambiguous mapping between geometric motion and algebraic operation. All operational rules satisfy commutative law, associative law and distributive law, and completely abandon the erroneous traditional definition of absolute zero. This integrated version fully inherits and integrates all core research achievements of previous transitional versions, including the ontological reconstruction of negative numbers, geometric unification of imaginary numbers, critical reflection on classical zero theory, primordial coupling mechanism, common base logic and structural growth theory. No definition, derivation or theoretical content is deleted, compressed or simplified in any form, forming a closed mathematical foundation with complete theoretical inheritance and no logical gaps. It provides rigorous permanently archived mathematical tools for structural cosmology, axiomatic cosmic modeling and systematic deterministic theoretical prediction, and is suitable for systematic teaching and theoretical explanation for college and senior high school students. Keywords: four‑dimensional mathematics; algebraic closure; primordial unity; spiral dynamics; Banach completeness; unique assignment; PFUS system