  An intrinsic time in Geometrodynamics is obtained with using a scaled Dirac's
mapping. By addition of a background metric, one can construct a scalar field.
It is suitable to play a role of intrinsic time. Cauchy problem was
successfully solved in conformal variables because they are physical ones.
First, the intrinsic time as a logarithm of determinant of spatial metric, was
applied to a cosmological problem by Misner. A global time is exist under
condition of constant mean curvature slicing of spacetime. The volume of
hypersurface and so-called mean York's time are canonical conjugated pair. So,
the volume is the intrinsic global time by its sense. The experimentally
observed redshift in cosmology is the evidence of its existence.
