Mathematics – Logic
Scientific paper
Jun 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aipc..839..144n&link_type=abstract
COMPUTING ANTICIPATORY SYSTEMS: CASYS'05 - Seventh International Conference. AIP Conference Proceedings, Volume 839, pp. 144-15
Mathematics
Logic
Mathematical And Relativistic Aspects Of Cosmology
Scientific paper
The relation between cosmological constant Λ 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 ρΛ and its dimensionless form ΩΛ,0 at the present time (GUTs: ρΛ=1093 g cm-3, ΩΛ,0 = 10122 h0-2, where h0 is a present Hubble parameter). On the other side some cosmologists have preferred that Λ should be close to zero. But, setting Λ to zero is not in accordance with the present observations indicating that ΩΛ,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 Λ = f(r) et the Planck's scale is of order 1070 m-2 and gives values for ρΛ and ΩΛ,0 exactly equal to predictions of GUTs. On the other side, the same solution of Λ at the cosmological scale is of order 10-53 m-2 and gives values for ΩΛ,0 of order unity. Thus, it seems that the cosmological constant problem is solved.
Novakovic Alen B.
Novakovic Branko M.
Novakovic Dario B.
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