Fuzzy Euclidean wormholes in the inflationary universe
  In this paper, we investigate complex-valued Euclidean wormholes in the
Starobinsky inflation. Due to the properties of the concave inflaton potential,
the classicality condition at both ends of the wormhole can be satisfied, as
long as the initial condition of the inflaton field is such that it is located
sufficiently close to the hilltop. We compare the probabilities of
classicalized wormholes with the Hartle-Hawking compact instantons and conclude
that the Euclidean wormholes are probabilistically preferred than compact
instantons, if the inflation lasts more than 50 e-foldings. Our result assumes
that the Euclidean path integral is the correct effective description of
quantum gravity. This opens a new window for various future investigations that
can be either confirmed or refuted by future experiments.
