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Chaotic Information Processing by Extremal Black Holes

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arxiv 1504.00483 v1 pith:DFG6MD3U submitted 2015-04-02 hep-th gr-qcquant-ph

Minos Axenides , Emmanuel Floratos , Stam Nicolis This is my paper · ORCID
classification hep-thgr-qcquant-ph
keywords blackholeschaoticextremalregularizationschemealgebraicamplitudes
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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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Cited by 1 Pith paper

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  1. The arithmetic geometry of AdS$_2$ and its continuum limit

    hep-th 2019-08 conditional novelty 6.0 of 10

    The paper constructs a continuum limit of the finite modular geometry AdS2[Z_N] by embedding it in a two-cutoff family and taking the two cutoffs to infinity along k-Fibonacci sequences.

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