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arXiv · 1205.3680

Microscopic black hole and uncertainty principle with minimal length and momentum

M. M. Stetsko
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Abstract

We investigate a microscopic black hole in case of modified generalized uncertainty principle with a minimal uncertainty in position as well as in momentum. We calculate thermodynamical functions of a Schwarzschild black hole such as temperature, entropy and heat capacity. It is shown that incorporation of minimal uncertainty in momentum leads to minimal temperature of a black hole similarly as we have for Schwarzschschild-AdS black hole without minimal uncertainty. Minimal temperature gives rise to Hawking-Page phase transition. Emission rate equation and black hole lifetime are also obtained.

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M. M. Stetsko. 2012-05-16. Microscopic black hole and uncertainty principle with minimal length and momentum. https://doi.org/10.1142/s0217751x13500292

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