BTZ Black Hole in Fisher Information Spacetime

Hiroaki Matsueda

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arXiv · 1409.3908

BTZ Black Hole in Fisher Information Spacetime

Hiroaki Matsueda

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Abstract

We examine whether we can make a black hole in Fisher information spacetime and what kind of quantum states produce the black hole solution in terms of the anti-de Sitter spacetime/conformal field theory correspondence. Here we focus on the Banados-Teitelboim-Zanelli black hole. There exists a mathematical representation of entanglement spectra that define the Fisher geometry as the black hole spacetime. We find that this representation is quite similar to the entanglement spectra in a conformal field theory at finite temperature except for minor corrections, and then the inverse temperature corresponds to the position of the event horizon in the Poincare coordinate.

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Hiroaki Matsueda. 2014-09-13. BTZ Black Hole in Fisher Information Spacetime. https://arxiv.org/abs/1409.3908

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