  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.
