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| Format: | Recurso digital |
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| Udgivet: |
Zenodo
2026
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| Fag: | |
| Online adgang: | https://doi.org/10.5281/zenodo.19601186 |
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Indholdsfortegnelse:
- <p>This paper proposes a unified ontological inference framework for mathematical conjectures, grounded in the YD-T64 64-dimensional self-referential torus cosmological model and the True-Circle Self-Consistency (TCSC) axiom system (Closure, Self-Referential Stability, and Generative Completeness). The framework transforms the determination of mathematical truth into an ontological judgment of cosmic self-consistency. Using a four-step general methodology—topological embedding, operator reconstruction, dynamization, and TCSC arbitration—it systematically derives the validity of major Millennium Prize Problems (Poincaré Conjecture, P vs NP, existence and smoothness of Navier-Stokes solutions, and Hodge Conjecture). The results indicate that the truth of these conjectures is a necessary consequence of the YD-T64 universe maintaining TCSC self-consistency. This framework not only offers a novel paradigm for solving longstanding mathematical problems but also lays the foundation for the ontological grand unification of mathematics, bridging the traditional divide between mathematics and physics, form and existence, and opening a new path for reconstructing the foundations of mathematics from the perspective of cosmic self-referential ontology.<br><br></p> <p>本文以 YD-T64 64维自指环面宇宙模型和真圆自洽性(TCSC)公理体系为核心框架,提出一种统一的数学猜想本体论推论纲领。该纲领将数学真理的判定从传统形式化证明转向宇宙自洽性的本体论裁决,通过「拓扑嵌入—算子重构—动力系统化—TCSC裁决」四步通用方法论,对包括黎曼猜想在内的五大千禧年难题进行系统推论。研究表明,这些重大猜想的成立均为 YD-T64 宇宙维持 TCSC 自洽存在的必然结果。本纲领不仅为解决千年数学难题提供了全新范式,更为实现数学各分支的本体论大统一奠定基础,打破了数学与物理、形式与存在的传统界限,开启了从宇宙自指本体出发重构数学基础的新道路。</p>