  We investigate the quantum vacuum and find the fluctuations can lead to the
inhomogeneous quantum vacuum. We find that the vacuum fluctuations can
significantly influence the cosmological inhomogeneity, which is different from
what previously expected. By introducing the modified Green's function, we
reach a new inflationary scenario which can explain why the Universe is still
expanding without slowing down. We also calculate the tunneling amplitude of
the Universe based on the inhomogeneous vacuum. We find that the inhomogeneity
can lead to the penetration of the universe over the potential barrier faster
than previously thought.
