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arXiv · 1108.0341

Quantum statistics and noncommutative black holes

Kumar S. Gupta·Stjepan Meljanac·Andjelo Samsarov
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Abstract

We study the behaviour of a scalar field coupled to a noncommutative black hole which is described by a $κ$-cylinder Hopf algebra. We introduce a new class of realizations of this algebra which has a smooth limit as the deformation parameter vanishes. The twisted flip operator is independent of the choice of realization within this class. We demonstrate that the $R$-matrix is quasi-triangular up to the first order in the deformation parameter. Our results indicate how a scalar field might behave in the vicinity of a black hole at the Planck scale.

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Kumar S. Gupta, Stjepan Meljanac, Andjelo Samsarov. 2012-02-27. Quantum statistics and noncommutative black holes. https://doi.org/10.1103/physrevd.85.045029

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