The Tunneling, the Second Order Relativistic Phase Transitions and   Problem of the Macroscopic Universe Origin
  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. 
V.Burdyuzha, Yu.Ponomarev (Astro Space Center Lebedev Physical   Institute of Russian Academy of Sciences), O.Lalaculich, G....