  A highly excited Friedmann universe filled with a scalar field and radiation
has been considered. On the basis of a direct solution to the
quantum-mechanical problem with a well-defined time variable, it has been shown
that such a universe can have features (energy density, scale factor, Hubble
constant, density parameter, matter mass, equivalent number of baryons, age,
dimensions of large-scale fluctuations, amplitude of fluctuations of cosmic
microwave background radiation temperature) identical to those of the currently
observed Universe.
