  We propose that the Universe was created from "Nothing" with a relatively
small particles number and it very quick relaxed to quasiequilibrium state at
the Planck parameters. The classic cosmological solution for this Universe,
with the calculation of its ability to be undergo to the second order
relativistic phase transition (RPT), has two branches divided by gap. On one
from these branches near to "Nothing" state the second order RPT isn't possible
at the GUT scale. Other branch is thermodynamically instable. The quantum
process of tunneling between the cosmological solution branches and kinetics of
the second order RPT after tunneling are investigated by numerical methods.
Other quantum geometrodynamics process (the bounce from singularity) is taken
into consideration also. It is shown that discussed phenomenon with the
calculation of all RPT from the GUT scale to the Salam-Weinberg scale gives the
new cosmological scenarios of the macroscopic Universe origin with observable
particles number.
