Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Echoes from corpuscular black holes   In the corpuscular picture of black hole there exists no geometric notion of
horizon which, instead, only emerges in the semi-classical limit. Therefore, it
is very natural to ask - what happens if we send a signal towards a corpuscular
black hole? We show that quantum effects at the horizon scale imply the
existence of a surface located at an effective radius $R=R_s(1+\epsilon)$
slightly larger than the Schwarzschild radius $R_s,$ where $\epsilon=1/N$ and
$N$ is the number of gravitons composing the system. Consequently, the
reflectivity of the object can be non-zero and, indeed, we find that incoming
waves with energies comparable to the Hawking temperature can have a
probability of backscattering of order one. Thus, modes can be trapped between
the two potential barriers located at the photon sphere and at the surface of a
corpuscular black hole, and periodic echoes can be produced. The time delay of
echoes turns out to be of the same order of the scrambling time, i.e., in units
of Planck length it reads $\sqrt{N}\,{\rm log}\,N.$ We also show that the
$\epsilon$-parameter, or in other words the compactness, of a corpuscular black
hole coincides with the quantum coupling that measures the interaction strength
among gravitons, and discuss the physical implications of this remarkable
feature.

26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th