Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euclidean quantum gravity and stochastic approach: Physical reality of
  complex-valued instantons   In this talk, we compare two states: the stationary state in stochastic
inflation and the ground state wave function of the universe. We already know
that, for the potential with a static field, two pictures give the same
probability distribution. Here, we go beyond this limit and assert that two
pictures indeed have deeper relations. We illustrate a simple example so that
there is a corresponding instanton if a certain field value has a non-zero
probability in the statistical side. This instanton should be complex-valued.
Furthermore, the compact manifold in the Euclidean side can be interpreted as a
coarse-graining grid size in the stochastic universe. Finally, we summarize the
recent status and possible applications.

15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex