Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth Causal Patches for AdS Black Holes   We review the paradox of low energy excitations about an AdS black hole. An
appropriately chosen unitary operator in the boundary theory can create a
locally strong excitation near the black hole horizon, whose global energy is
small as a result of the gravitational redshift. The paradox is that this seems
to violate a general rule of statistical mechanics, which states that an
operator with energy parametrically smaller than $k T$ cannot create a
significant excitation in a thermal system. When we carefully examine the
position dependence of the boundary unitary operator that produces the
excitation and the bulk observable necessary to detect the anomalously large
effect, we find that they do not both fit in a single causal patch. This
follows from a remarkable property of position space AdS correlators that we
establish explicitly, and resolves the paradox in a generic state of the
system, since no combination of observers can both create the excitation and
observe its effect. As a special case of our analysis, we show how this
resolves the "Born rule" paradox of arXiv:1506.01337 and we verify our solution
using an independent calculation. We then consider boundary states that are
finely tuned to display a spontaneous excitation outside the causal patch of
the infalling observer, and we propose a version of causal patch
complementarity in AdS/CFT that resolves the paradox for such states as well.

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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas