QUANTUM MODIFICATION OF GENERAL RELATIVITY AND RICCI FLOW
Evgeny A. Novikov
University of California - San Diego, BioCircuits Institute, La Jolla, CA 92093 -0328; E-mail: enovikov@ucsd.edu
17 December, 2016
Abstract
Equations for the quantum modification of the general relativity (Qmoger) differ from the Einstein equations by two additional terms, which takes into account production/absorption of gravitons by the vacuum. Gravitons are shown to be ultralight and have a tiny electric dipole moment, which can help to explain the baryon asymmetry of the universe. Qmoger theory avoids initial singularity (Big Bang) and other major controversies [critical density of the universe, cosmological constant (dark energy) and inflation]. At the same time, exact analytical solution of Qmoger equations for the scale factor, without any fitting parameters, is in good quantitative agreement with cosmic observational data. The additional terms in Qmoger equations are expressed in terms of covariant divergency of the 4-velocity field. These terms are flatting the universe and are compatible with the classical curvature terms. So, the quantum effects of production/absorption of gravitons smooth out the dynamics of the universe. Qmoger theory uses the (introduced by the author) dynamics of distributed sources-sinks (DODSS), published in 2003. DODSS in turn came from desire to smooth out singularities in the obtained by the author (in 1969) general analytical solution of (1+1)-dimensional gravity. It is intuitively clear that proper DODSS can smooth out a broad class of manifolds, mathematically speaking. This led us to look at mathematical literature and, indeed, there is so called Ricci flow, introduced by R. S. Hamilton in 1982 and used by G. Perelman in 2002-2008 to proof the Poincaré conjecture ( every simply connected, closed 3-manifold is homeomorphic to the 3-sphere). A connection between DODSS (in Qmoger) and Ricci flow is discussed. The main difference, of course, is that Qmoger, besides DODSS, include also Einstein equation.