engleski

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

The relation between cosmological constant lambda 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 at the present time(10exp93), and its dimensionless form omega (10exp122xh0exp(-2), where h0 is a present Hubble parameter). On the other side some cosmologists have preferred that lambda should be close to zero. But, setting lambda to zero is not in accordance with the present observations indicating that omega 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 lambda = f(r) et the Planck’ s scale is of order 10exp70 m-2 and gives values for vacuum energy density and omega exactly equal to predictions of GUTs. On the other side, the same solution of lambda at the cosmological scale is of order 10exp(-53) m-2 and gives values for omega of order unity. Thus, it seems that the cosmological constant problem is solved.

Riemann’ s Geometry; Nondiagonal Line Element; Cosmological Constant Problem; Vacuum Energy; Attractive and Repulsive Gravity.

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