Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergence of cosmic space and the maximization of horizon entropy   The spatial expansion of the universe can be described as the emergence of
space with the progress of cosmic time, through a simple equation, $\Delta V =
\Delta t\left(N_{surf}- N_{bulk}\right)$. This law of emergence suggested by
Padmanabhan in the context of general relativity for a flat universe has been
generalized by Sheykhi to Gauss Bonnet and Lovelock gravity for a universe with
any spacial curvature. We investigate whether this generalized holographic
equipartition effectively implies the maximization of horizon entropy. First,
we obtain the constraints imposed by the maximization of horizon entropy in
Einstein, Gauss Bonnet and Lovelock gravities for a universe with any spacial
curvature. We then analyze the consistency of the law of emergence in
\cite{Sheykhi}, with these constraints obtained. Interestingly, both the law of
emergence and the horizon entropy maximization demands an asymptotically de
Sitter universe with $\omega \geq -1$. More specifically, when the degrees of
freedom in the bulk $( N_{bulk})$ becomes equal to the degrees of freedom on
the boundary surface $(N_{surf}),$ the universe attains a state of maximum
horizon entropy. Thus, the law of emergence can be viewed as a tendency for
maximizing the horizon entropy, even in a non flat universe. Our results points
at the deep connection between the law of emergence and horizon thermodynamics,
beyond Einstein gravity irrespective of the spacial curvature.

7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex