W≡0 Global Topological Unified Field Theory:General Outline of Pre-mathematical Fundamental Layer in Stage 4

Project: W≡0 Global Topological Unified Field Theory System Construction ProjectStage: Stage 4 · Pre-mathematical Fundamental Layer Mandatory Legal StatementThis document (4.00) and the series papers from 4.01 to 4.09 regulated hereby jointly constitute the only legal mathematical fundamental basis for all subsequent physical derivations under the W≡0 theory. Any derivation in later stages shall be deemed invalid if its basic assumptions, mathematical tools or core definitions cannot be traced to the filed documents indexed in this document. Abstract Serving as the exclusive legal mathematical fundamental basis for all subsequent physical derivations of W≡0 theory (see the mandatory legal statement at the beginning of this document), this paper (4.00) and the supporting papers numbered 4.01 to 4.09 systematically summarize the core positioning, progressive logical relationship, writing specifications and application requirements of the nine papers. It defines the core mission of the 4.0 series as the pure mathematical foundation of the whole theoretical system, standardizes the general rules of Entity-State-Application three-line deduction, external quality control specifications based on Boolean logic, and usage criteria of pure mathematical language, so as to fundamentally eliminate ambiguity of physical terminologies and cross-contamination of logic. This paper elaborates on the functional division, mutual supporting relations of each paper, as well as the pre-connection logic with the physical constant derivation layer (4.1 and above) and the construction of particle topological pedigree in the fifth stage, providing unified, rigid and executable academic guidelines for the compilation, review and application of all series papers. This general outline is strictly defined as a pure overview and normative document, without any additional mathematical deduction or physical expansion content. Keywords W≡0 Theory; Pre-mathematical Fundamental Layer; Entity-State-Application Three-line Deduction; Boolean Logic Quality Control; Topological Dimension System