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arXiv · 2501.01244

Fractional entropy of the Brown-Kucha\v{r} dust in fractional anti-de Sitter quantum gravity

P. F. da Silva Júnior·S. Jalalzadeh·H. Moradpour
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Abstract

This study derives the mass spectrum and entropy of the Brown-Kucha\v{r} 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-Kucha\v{r} dust and L\'evy's fractional parameter $\alpha$ 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.

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P. F. da Silva Júnior, S. Jalalzadeh, H. Moradpour. 2025-01-02. Fractional entropy of the Brown-Kucha\v{r} dust in fractional anti-de Sitter quantum gravity. https://doi.org/10.1088/1361-6382/adb899

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