Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eternal inflation in light of Wheeler-DeWitt equation   The Wheeler-DeWitt equation provides the probability distribution for the
curvature perturbation, the gauge invariant quantum fluctuation of the
inflaton. From this, we can find a tower of power spectra which is not found in
a perturbative approach. Since the power spectrum for the modes that cross the
horizon contributes to the uncertainty in the classical inflaton displacement,
we obtain new conditions for eternal inflation. In the presence of the patch in
the higher excitations, the bound on the slow-roll parameter allowing eternal
inflation is given by at most $\epsilon \lesssim (2n+1)(H/m_{\rm Pl})^2$ with
$n$ integer indicating the quantum number labelling the excitation. For large
$n$, the bound on $\epsilon$ is relaxed such that eternal inflation can take
place with even larger value of $\epsilon$. While the second law of
thermodynamics implies that $n=0$ state is preferred, we cannot ignore such
large $n$ effect since the nonlinear interaction inducing transitions to the
$n=0$ state is suppressed.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th