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| Médium: | Recurso digital |
| Jazyk: | angličtina |
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Zenodo
2026
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| Témata: | |
| On-line přístup: | https://doi.org/10.5281/zenodo.20273101 |
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- <p class="MsoNormal"><strong>Abstract</strong></p> <p class="MsoNormal">The core dilemma behind the century-long exploration of unified field theories lies in the disconnection between qualitative logic and quantitative mathematics: numerous theories possess elegant mathematical forms yet suffer from ontological logical contradictions; many physical propositions are mathematically self-consistent but violate the most basic physical intuitions. Based on the W≡0 global topological polarity conservation axiom system, this paper academically operationalizes the "Dual-Line Research Paradigm" (Boolean Logic Ontology Line + Mathematical Deduction Phenomenon-Application Line) for the first time, and constructs a bidirectional mapping system between Boolean logic and the global topological physical system.</p> <p class="MsoNormal">This paper explicitly limits the mapping to classical propositional logic with preliminary extension to first-order predicate logic, proposes the mappability criterion for physical propositions and two core constraints (finite resolution constraint, global-local consistency constraint), establishes a complete three-layer mapping architecture (atomic proposition layer, logical connective layer, inference rule layer), releases the <em>Boolean Proposition-Physical State Mapping Specification Table</em>, and verifies the effectiveness of the mapping system through two full-process cases: the logical determination of the existence of isolated magnetic monopoles and the logical rejection of the spontaneous generation of net electric charge model.</p> <p class="MsoNormal">To ensure the absolute rigor, conceptual completeness, and axiomatic consistency of the methodology system, this paper embeds the <strong>self-consistency verification</strong> of the mapping system and the <strong>distinction of core easily confused concepts</strong>, thoroughly avoiding the conceptual misalignment, hierarchical confusion, and boundary ambiguity prevalent in contemporary physics.</p> <p class="MsoNormal">The mapping system constructed in this paper serves as the core methodological tool of the W≡0 theoretical system. As a "logical pre-filter", it can quickly eliminate logically inconsistent physical propositions before mathematical derivation, fundamentally avoiding the methodological trap of "mathematics for mathematics' sake", and providing a unified, self-consistent, and unambiguous logical verification standard for all subsequent theoretical deductions.</p> <p class="MsoNormal"><strong>Keywords</strong>: Dual-Line Research Paradigm; Boolean-Topological Mapping; Logical Pre-Verification; Mappability Criterion; W≡0 Axiom; Physical Causality; Methodological Self-Consistency</p>