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arXiv · 2203.09968

Quantum Black hole--White hole entangled states

S. Jalalzadeh
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Abstract

We investigate the quantum deformation of the Wheeler--DeWitt equation of a Schwarzchild black hole. Specifically, the quantum deformed black hole is a quantized model constructed from the quantum Heisenberg--Weyl $U_q(h_4)$ group. We show that the event horizon area and the mass are quantized, degenerate, and bounded. The degeneracy of states indicates entangled quantum black hole/white hole states. Accordingly, quantum deformation provides a new framework to examine Einstein--Rosen wormhole solutions. Besides, we obtain the mass, the temperature, and the entropy of the q-deformed quantum Schwarzschild black hole. We find an upper bound on the mass of a black hole/white hole pair. Also, at the quantum deformation level, the entropy of the black hole contains three parts: the usual Bekenstein--Hawking entropy, the logarithmic term, and a Cube of usual black hole entropy.

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BibTeXRIS

S. Jalalzadeh. 2022-03-18. Quantum Black hole--White hole entangled states. https://doi.org/10.1016/j.physletb.2022.137058

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