W≡0 Axiom: Meta-Stability and Ultimate Verification of Minimality

Project: W≡0 Global Topological Unified Field TheoryStage Attribution: Phase 3 · Sub-thesis 4 Abstract The W≡0 axiom system of global topological polarity conservation has been proven in previous studies to possess strict logical self-consistency and to fully degenerate into all classical physical theories including Newtonian mechanics, relativity, and quantum mechanics. However, this system still faces two high-level academic challenges: first, whether there exists a more fundamental equivalent axiom system; second, whether it implies unrecognized physical presuppositions. From the perspectives of meta-theory, model theory, and topological invariants, this paper conducts an ultimate verification of the W≡0 axiom at the ontological level. Rigorous proofs demonstrate that the W≡0 axiom contains no hidden physical assumptions and is the absolutely minimal fundamental axiom satisfying Occam’s Razor. Any equivalent axiom system attempting to describe the same physical universe is either logically equivalent to W≡0 at the pure symbolic level, or necessarily introduces additional empirical or structural assumptions. No more fundamental or parsimonious fundamental physical axiom exists beyond W≡0. Meanwhile, this paper proves that the axiom system exhibits strong meta-stability, where any minor modification directly leads to systemic collapse. It also provides systematic responses to core academic objections such as “logical self-consistency ≠ physical correctness” and “unfalsifiability”. This research ultimately establishes the uniqueness and irreplaceability of the W≡0 axiom as the first principle of the global unified field theory of physics at the meta-theoretical level, laying an unshakable foundation of ultimate legitimacy for the entire W≡0 theoretical system. Keywords: Axiom Meta-Stability; Proof of Minimality; Meta-Theoretical Verification; Assumption-Freeness; W≡0 Theory