Fractional entropy of the Brown-Kuchař dust in fractional anti-de Sitter quantum gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910860853641216 |
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| author | Júnior, P. F. da Silva Jalalzadeh, S. Moradpour, H. |
| author_facet | Júnior, P. F. da Silva Jalalzadeh, S. Moradpour, H. |
| contents | This study derives the mass spectrum and entropy of the Brown-Kuchař dust in anti-de Sitter (AdS) spacetime using the fractional Wheeler-DeWitt (WDW) equation. The generalized fractional WDW equation is formulated using a fractional quantization map, demonstrating a correlation between the fractal mass dimension of the Brown-Kuchař dust and Lévy's fractional parameter $α$ of the Riesz fractional quantum operator. These findings may provide new insights into the ramifications of the fractal behavior of cosmic structures in quantum cosmology and quantum gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01244 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional entropy of the Brown-Kuchař dust in fractional anti-de Sitter quantum gravity Júnior, P. F. da Silva Jalalzadeh, S. Moradpour, H. General Relativity and Quantum Cosmology High Energy Physics - Theory This study derives the mass spectrum and entropy of the Brown-Kuchař dust in anti-de Sitter (AdS) spacetime using the fractional Wheeler-DeWitt (WDW) equation. The generalized fractional WDW equation is formulated using a fractional quantization map, demonstrating a correlation between the fractal mass dimension of the Brown-Kuchař dust and Lévy's fractional parameter $α$ of the Riesz fractional quantum operator. These findings may provide new insights into the ramifications of the fractal behavior of cosmic structures in quantum cosmology and quantum gravity. |
| title | Fractional entropy of the Brown-Kuchař dust in fractional anti-de Sitter quantum gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.01244 |