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arXiv · 1706.06502

The GUP and quantum Raychaudhuri equation

Elias C. Vagenas·Lina Alasfar·Salwa M. Alsaleh·Ahmed Farag Ali
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Abstract

In this paper, we compare the quantum corrections to the Schwarzschild black hole temperature due to quadratic and linear-quadratic generalized uncertainty principle, with the corrections from the quantum Raychaudhuri equation. The reason for this comparison is to connect the deformation parameters $β_0$ and $ α_0$ with $η$ which is the parameter that characterizes the quantum Raychaudhuri equation. The derived relation between the parameters appears to depend on the relative scale of the system (black hole), which could be read as a beta function equation for the quadratic deformation parameter $β_0$. This study shows a correspondence between the two phenomenological approaches and indicates that quantum Raychaudhuri equation implies the existence of a crystal-like structure of spacetime.

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Elias C. Vagenas, Lina Alasfar, Salwa M. Alsaleh, Ahmed Farag Ali. 2018-04-18. The GUP and quantum Raychaudhuri equation. https://doi.org/10.1016/j.nuclphysb.2018.04.004

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