Distortion of extra dimensions in the inflationary Multiverse
  We discuss the effect of the quantum fluctuations at high energies on the
final shape of compact extra dimensions. The quantum fluctuations produce a
wide range of the initial extra metrics in causally disconnected regions
(pocket universes) of the Multiverse during the inflationary stage. This set of
initial extra metrics evolves to a set of inhomogeneous metrics at the present
time. The low energy physics appears to be different in different pocket
universes. The numerical estimate of the probability of finding a specific
metric is based on the model of the compact 2-dimensional extra space.
