Published February 14, 2025 | Version v1

Yang-Mills Existence and Mass Gap Problem Contemplation PART J A complete argument for the positive definiteness of the spectrum of a fractal Laplacian operator

Description

本文为在分形集(例如 Sierpi' nski 地毯和 Koch 曲线)上定义的分形拉普拉斯算子的光谱正性
提出了全面的论点。我们建立了算子的数学结构,
证明了它的自伴随性,并探讨了光谱间隙
与物理现象的关系,特别是在量子场论和 Yang
Mills 理论中。

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Yang-Mills Existence and Mass Gap Problem Contemplation PART J A complete argument for the positive definiteness of the spectrum of a fractal Laplacian operator.pdf