Submissions from Aymeric Asno
- [1] faKiv:2404.08521 [pdf]
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The finiteness of the Planck mass spectrum in de Sitter spaceComments: 12 pages, 8 figures, v2: minor changes, references updated, published version
A special case of the quadrillage problem is that of the Planck mass spectrum in the de Sitter space. In this paper, we describe an infinite-dimensional de Sitter space with a Planck mass and show that it is finiteness free for any distributed point in the Planck mass spectrum. This result is equivalent to the result of the Lefschetz-Frenkel-Schmidt method for the Planck mass spectrum in the de Sitter space. Our results suggest that the Planck mass spectrum in the de Sitter space is a universal structure that can be constructed in a finite range of values of the Planck mass; therefore, the Planck mass spectrum in the de Sitter space can be constructed in a finite range of values of the Planck mass.