Summary of Phase III · Locking of Spacetime Base and Connection with Subsequent Phases

Project: W≡0 Global Topological Unified Field TheoryPhase Affiliation: Phase III · Closing Summary Abstract Research Background: Papers 3.1 to 3.5 of Phase III have all been finalized as V1.0 versions, reviewed by dual AI reviewers and permanently archived on Zenodo. A complete ontological system has been systematically constructed covering the W≡0 axiom system, unified research methodology, three-dimensional spatial topology, one-dimensional temporal topology and XYZ+T four-dimensional topological spacetime. The meta-stability and ultimate simplicity verification of the W≡0 axiom have been completed, and full-dimensional compatibility degradation verification with classical physics, special relativity and weak-field general relativity has been realized, laying a complete underlying spacetime framework for the W≡0 theory. As the closing summary document of Phase III, this paper undertakes the core functions of consolidating phased achievements, defining theoretical boundaries and permanently locking the spacetime base. Research Objectives: To systematically summarize all core research achievements of Phase III, verify the fulfillment of preset closing standards item by item, and clarify the applicable boundaries, approximate conditions and research limitations of the topological spacetime model in this phase. To permanently lock the overall XYZ+T four-dimensional topological spacetime base and establish it as an unretractable and unmodifiable rigid theoretical cornerstone for all subsequent researches of the W≡0 theory. To standardize and sort out all preconditions and theoretical interfaces for the first-principle derivation of fundamental physical constants in Phase IV, so as to realize seamless connection between phased researches. Research Methods: Adopt achievement summarization method to sort out all theorems, equations and core conclusions of Phase III in a systematic manner; adopt standard verification method to quantitatively compare preset closing indicators with actual completion accuracy; adopt logical closed-loop verification method to check the systematic coherence between the achievements of this phase and those of Phase I & II, as well as the comprehensive support for quantitative researches in Phase IV. Core Conclusions: All qualitative ontological research objectives of Phase III have been fully achieved. The topological structure, mathematical definitions, evolution equations and causal constraints of XYZ+T four-dimensional topological spacetime have formed a complete self-consistent closed loop. All five preset closing standards are satisfied with error indicators better than preset thresholds. The spacetime base of this phase has met the conditions for permanent locking, and can fully support the first-principle derivation of fundamental physical constants free from empirical parameters. The theoretical system has officially shifted from qualitative ontological construction to the construction stage of quantitative verifiable physical systems. Keywords Phase III Summary; Spacetime Base Locking; Closing Standards; Fundamental Physical Constants; W≡0 Axiom; Topological Spacetime; Phase Connection