Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $SL(2,R)$ lattices as information processors   Black holes past their Page times should act as efficient scramblers and
information mirrors. The information of the infalling bits are rapidly encoded
by the old black hole in the Hawking quanta, but it should take time that is
exponential in the Page time entropy to decode the interior. Motivated by the
features of fragmentation instability of near-extremal black holes, we
construct a simple phenomenological model of the black hole as a lattice of
interacting nearly $AdS_2$ throats with gravitational hair charges propagating
over the lattice. We study the microstate solutions and their response to
shocks. The energy of the shocks are almost wholly absorbed by the total ADM
mass of the $AdS_2$ throats, but the information of their locations and
time-ordering come out in the hair oscillations, which decouple from the final
microstate to which the full system quickly relaxes. We discuss the
Hayden-Preskill protocol of decoding infalling information. We also construct
generalizations of our model involving a lattice of $AdS_2$ throats networked
via wormholes and their analogues in the form of tensor networks of SYK
spin-states.

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The categories of this paper are: cs
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph