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arXiv · 1504.00483

Chaotic Information Processing by Extremal Black Holes

Minos Axenides·Emmanuel Floratos·Stam Nicolis
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Abstract

We review an explicit regularization of the AdS$_2$/CFT$_1$ correspondence, that preserves all isometries of bulk and boundary degrees of freedom. This scheme is useful to characterize the space of the unitary evolution operators that describe the dynamics of the microstates of extremal black holes in four spacetime dimensions. Using techniques from algebraic number theory to evaluate the transition amplitudes, we remark that the regularization scheme expresses the fast quantum computation capability of black holes as well as its chaotic nature.

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Minos Axenides, Emmanuel Floratos, Stam Nicolis. 2015-04-02. Chaotic Information Processing by Extremal Black Holes. https://doi.org/10.1142/s0218271815420122

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