Distortion of extra dimensions in the inflationary multiverse

Abstract

The observable inflation is a final step in a slow evolution of our space. The latter occurs starting from the Planck scale, so that eventually a huge number of causally disconnected regions of space (pocket universes) will appear. The Multiverse thus formed consists of similar universes and, therefore, does not fulfill its mission. Here, we discuss the way to improve the situation. We study the effect of the quantum fluctuations at high energies on the shape of compact extra dimensions which turn out to be specific to each pocket universe. Low-energy physical parameters depend on extra dimensional metric. Therefore, the low-energy physics is different in different pocket universes. The numerical estimation of the probability of finding a particular metric is based on the model of compact two-dimensional extra space.