Some cosmological consequences of the five-dimensional projective unified field theory (Q1613310)

The classical observational cosmological tests (Hubble diagram, count of sources, angular size-redshift relation) are considered for a homogeneous and isotropic model of the Universe in the framework of the 5-dimensional Projective Unified Field Theory (PUFT). The observational cosmological parameters (mass density, spatial curvature, admitted regions for parameters) of this model are investigated. It is shown that the presence of the \(\sigma\)-field can essentially affect conclusions obtained from the cosmological tests. The surface brightness-redshift relation can be used as a critical test for \(\sigma\)-field effects. The available experimental data, apparently, testify that the \(\sigma\)-field decreases with time. The spatial curvature is positive or negative depending on whether the mass density is larger or smaller than some critical parameter which is smaller than the critical density and can even take negative values. The increase in the number of the observational cosmological parameters as compared to the standard Friedmann model can essentially facilitate coordination of the existing data of observational cosmology.