Cosmological Constant Problem Solution Valid for Both Planck's and Cosmological Scales

摘要

The relation between cosmological constant and the energy density of the vacuum has led to a big problem. Thus, the modern quantum field theories such as QCD, EW and GUTs predicted vary large values for vacuum energy density and its dimensionless form ,0 at the present time (GUTs: =1093 g cm–3, ,0 = 10122 h0–2, where h0 is a present Hubble parameter). On the other side some cosmologists have preferred that should be close to zero. But, setting to zero is not in accordance with the present observations indicating that ,0 is in fact of order unity. Now, the main problem is to find out a cancellation mechanism which may cancel at precisely the 123 decimal places. This "cosmological-constant problem" has been considered in this paper. It is shown that the solution of = f(r) et the Planck's scale is of order 1070 m–2 and gives values for and ,0 exactly equal to predictions of GUTs. On the other side, the same solution of at the cosmological scale is of order 10–53 m–2 and gives values for ,0 of order unity. Thus, it seems that the cosmological constant problem is solved.