QUANTUM MODIFICATION OF GENERAL RELATIVITY

QUANTUM MODIFICATION OF GENERAL RELATIVITY
Evgeny A. Novikov
University of California - San Diego, BioCircuits Institute,
La Jolla, CA 92093 -0328; E-mail: enovikov@ucsd.edu
Abstract
This work is based on modification of the general relativity with two additional terms in the Einstein equations. The additional terms give macroscopic description of the quantum effects of production /absorption of matter by the vacuum. The theory (without fitting parameters and without hypothesis of inflation) is in good quantitative agreement with cosmological observations (SnIa, SDSS-BAO and reduction of acceleration of the expanding universe). In this theory, there is no Big Bang at the beginning, but some local bangs during the evolution are probable. Also, there is no critical density of the universe and, therefore, no dark energy (no need in the cosmological constant). Based on exact Gaussian solution for the scale factor, it is shown that an effective age of the universe is about 327 billion years. Production of primary dark matter particles (possibly, gravitons) have started 43 billion years later. It is shown that characteristic distance between particles is much smaller than the thermal de Brogle wavelength, so that quantum effects, including formation of the Bose-Einstein condensate, can dominate, even for high temperature. "Ordinary" matter was synthesized from dark matter (with estimated small electric dipole moment (EDM)) in galaxies. Supplementary exact solutions are obtained for various ranges of parameters. From the theory we get an interface between dark and ordinary matter (IDOM), which very likely exist not only in cosmos, but everywhere, including our body and our brain.
Key words: modification of general relativity; cosmology; age of the universe; dark matter (gravitons); interface between dark and ordinary matter.
Published in Electronic Journal of Theoretical Physics v.13, No. 35 (2016) 79-90.