Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Horizon wave-function for single localized particles: GUP and quantum
  black hole decay   A localised particle in Quantum Mechanics is described by a wave packet in
position space, regardless of its energy. However, from the point of view of
General Relativity, if the particle's energy density exceeds a certain
threshold, it should be a black hole. In order to combine these two pictures,
we introduce a horizon wave-function determined by the particle wave-function
in position space, which eventually yields the probability that the particle is
a black hole. The existence of a minimum mass for black holes naturally
follows, albeit not in the form of a sharp value around the Planck scale, but
rather like a vanishing probability that a particle much lighter than the
Planck mass be a black hole. We also show that our construction entails an
effective Generalised Uncertainty Principle (GUP), simply obtained by adding
the uncertainties coming from the two wave-functions associated to a particle.
Finally, the decay of microscopic (quantum) black holes is also described in
agreement with what the GUP predicts.

31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom