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Holographic vacuum energy regularization and corrected entropy of de Sitter space

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arxiv 2405.12314 v1 pith:2C2P6NYY submitted 2024-05-20 gr-qc hep-th

S. Jalalzadeh , H. Moradpour , H. Tebyanian This is my paper · ORCID
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We propose that the spectrum of the surface area of the apparent horizon (AH) of de Sitter (dS) spacetime leads to corrected temperature and entropy of the dS spacetime, offering new insights into its thermodynamic properties. This is done by employing the spectrum of the AH radius, acquired from the Wheeler--DeWitt (WDW) equation, together with the Stefan--Boltzmann law, the time-energy uncertainty relation, and the unified first law of thermodynamics.

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

    gr-qc 2025-01 conditional novelty 5.0 of 10

    In flat AdS quantum cosmology with Brown-Kuchar dust, the fractional Wheeler-DeWitt equation yields mass and entropy spectra scaling as (n+1/2)^(alpha/2), with a fractal mass dimension D = 3 alpha / 2.

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