  We explore at phenomenological level a model of the Universe filled with
various kinds of matter characterized by different equations of state. We show
that introducing of each kind of matter is equivalent to a certain choice of a
gauge condition, the gauge condition describing a medium with a given equation
of state. The case of a particular interest is when one kind of matter (de
Sitter false vacuum) dominates at the early stage of the Universe evolution
while another kind (radiation, or ultrarelativistic gas) dominates at its later
stage. We can, therefore, consider different asymptotic regimes for the early
and later stages of the Universe existence. These regimes are described by
solutions to the Wheeler - DeWitt equation for the Universe with matter in that
given state, and, at the same time, in the "extended phase space" approach to
quantum geometrodynamics the regimes are described by solutions to a
Schrodinger equation associated with a choice of some gauge condition. It is
supposed that, from the viewpoint of the observer located at the later stage of
the Universe evolution, solutions for a Lambda-dominated early Universe would
decay.
