Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Failure of the split property in gravity and the information paradox   In an ordinary quantum field theory, the "split property" implies that the
state of the system can be specified independently on a bounded subregion of a
Cauchy slice and its complement. This property does not hold for theories of
gravity, where observables near the boundary of the Cauchy slice uniquely fix
the state on the entire slice. The original formulation of the information
paradox explicitly assumed the split property and we follow this assumption to
isolate the precise error in Hawking's argument. A similar assumption also
underpins the monogamy paradox of Mathur and AMPS. Finally the same assumption
is used to support the common idea that the entanglement entropy of the region
outside a black hole should follow a Page curve. It is for this reason that
computations of the Page curve have been performed only in nonstandard theories
of gravity, which include a nongravitational bath and massive gravitons. The
fine-grained entropy at ${\cal I}^{+}$ does not obey a Page curve for an
evaporating black hole in standard theories of gravity but we discuss
possibilities for coarse graining that might lead to a Page curve in such
cases.

26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
1
The categories of this paper are: cs
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph