  Astrophysical data reformulated in the units of the relative Paris meter and
running Planck mass are used for restoration of a conformal version of the
unified theory where the absolute Planck mass belongs to ordinary initial data
(like the absolute Ptolemaeus position of the earth belongs to the initial data
of Newton's mechanics). In the conformal unified theory, both the latest data
on the Supernova luminosity-distance -- redshift relation and primordial
nucleosynthesis are described by a free primordial motion of the scalar
homogeneous field (Scalar Quintessence). This primordial cosmic evolution leads
to intensive cosmological creation of vector bosons forming the baryon
asymmetry of the universe (during their lifetime) and the CMB radiation as a
final product of their decays. There are values of the initial data that give
the CMB temperature (as an integral of the primordial motion) and the energy
density budget in agreement with observational data.
