Nonperturbative amplification of inhomogeneities in a selfreproducing universe
Abstract
We investigate the distribution of energy density in a stationary selfreproducing inflationary universe. We show that the main fraction of volume of the Universe in a state with a given density ρ at any given moment of proper time t is concentrated near the centers of deep exponentially wide spherically symmetric wells in the density distribution. Since this statement is very surprising and counterintuitive, we perform our investigation by three different analytical methods to verify our conclusions, and then confirm our analytical results by computer simulations. If one assumes that we are typical observers living in the Universe at a given moment of time, then our results may imply that we should live near the center of a deep and exponentially large void, which we will call an infloid. The validity of this particular interpretation of our results is not quite clear since it depends on the asyet unsolved problem of measure in quantum cosmology. Therefore, at the moment we would prefer to consider our results simply as a demonstration of nontrivial properties of the hypersurface of a given time in the fractal selfreproducing universe, without making any farreaching conclusions concerning the structure of our own part of the Universe. Still we believe that our results may be of some importance since they demonstrate that nonperturbative effects in quantum cosmology, at least in principle, may have significant observational consequences, including an apparent violation of the Copernican principle.
 Publication:

Physical Review D
 Pub Date:
 August 1996
 DOI:
 10.1103/PhysRevD.54.2504
 arXiv:
 arXiv:grqc/9601005
 Bibcode:
 1996PhRvD..54.2504L
 Keywords:

 98.80.Cq;
 98.80.Bp;
 98.80.Hw;
 Particletheory and fieldtheory models of the early Universe;
 Origin and formation of the Universe;
 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 31 pages, 3 figures