Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is randomness near a black hole key for thermalization of its horizon?   We introduce a possible theoretical model to understand the thermalization of
black hole horizon. The near horizon Hamiltonian for a massless, chargeless
particle is $xp$ type. This model possess the properties of randomness and can
be chaotic. The particle in turn finds the horizon thermal when it interacts
with it. We explicitly show this in the Schrodinger as well as in Heisenberg
pictures by taking into account the time evolution of the system under this
Hamiltonian. Hence we postulate that existing randomness near the horizon can
be one of the potential candidates for explaining the black hole
thermalization.

3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
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
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The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol