Fractional Entropy of Brown-Kuchar Dust in Anti-de Sitter Quantum Gravity
Applies fractional quantum gravity to the Brown-Kuchar dust in anti-de Sitter spacetime by generalizing the Wheeler-DeWitt equation with a quantum Riesz fractional derivative operator (Laskin's fractional quantum mechanics, built on Levy processes). Solving this generalized fractional WDW equation yields a quantized mass spectrum and entropy for the dust and reveals a correlation between the fractal mass dimension of the dust and Levy's fractional parameter alpha, suggesting implications for the fractal behavior of cosmic structures in quantum cosmology.
Fractional entropy of the Brown-Kuchaˇr dust in fractional anti-de Sitter quantum gravity P. F. da
Derives the mass spectrum and entropy of the Brown-Kuchar dust in anti-de Sitter (AdS) spacetime using a fractional Wheeler-DeWitt (WDW) equation. Following the fractional-quantum-gravity program (wh…