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Title
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Fractional entropy of the Brown–Kuchař dust in fractional anti-de Sitter quantum gravity
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Type
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JournalPaper
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Keywords
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Wheeler-DeWitt equation, anti de Sitter, fractional
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Abstract
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This study derives the mass spectrum and entropy of the Brown–Kuchaˇr 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–Kuchaˇr 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.
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Researchers
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Hooman Moradpour (Third Researcher), Shahram Jalalzadeh (Second Researcher)
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