This work is part of the **W≡0 Global Topological Unified Field Theory** project (Stage 2: Verification of Existing Theories, Sub-thesis 2.3). Based on the W≡0 global topological polarity conservation axiom and the Three-Dimensional Verification Method... Abstract As the two pillars of modern physics, relativity and quantum mechanics have achieved unprecedented empirical success over the past century. However, their paradigm conflict has become the core unsolved problem in physics for a hundred years: general relativity describes macroscopic gravitational phenomena, while quantum mechanics describes microscopic interactions. The two are completely incompatible in mathematical form, logical foundation, and physical picture. As the second sub-paper of Stage 2 of the W≡0 Global Topological Unified Field Theory, this paper systematically verifies the two core systems of modern physics—special relativity, general relativity, non-relativistic quantum mechanics, and quantum field theory—strictly following the Three-Dimensional Verification Method (Implicit Assumption Screening Method, Approximation Condition Tracing Method, Special Case Adaptation Verification Method) established in Paper 2.1, combined with Boolean logic ontology line pre-verification. This paper screens the implicit assumptions of each system one by one, traces the topological approximation conditions required for their validity, completes the strict topological derivation of 3 core formulas of special relativity and 2 basic equations of non-relativistic quantum mechanics, proves that all four theories are approximate special cases of the W≡0 global topological system under different scales, different energy levels, and different polarity fluctuation intensities, and completes the three-layer verification of mathematical equivalence, numerical error, and experimental matching. The core conclusion of this paper is that the paradigm conflict between relativity and quantum mechanics is not an inherent property of the universe, but stems from the fact that both are local background effective theories lacking a unified fundamental support. The two share the same W≡0 topological origin, but correspond to the low-fluctuation macroscopic limit and the high-fluctuation microscopic limit respectively, and can be unified at the fundamental level within the W≡0 framework. This paper clarifies the precise applicable boundaries and failure scenarios of each theory, providing a new topological perspective for solving the century-old physics paradigm conflict. Keywords: Relativity; Quantum Mechanics; Quantum Field Theory; Paradigm Conflict; Boundary Verification; W≡0 Special Case; Three-Dimensional Verification Method
Jian Wen (Wed,) studied this question.