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It is shown that taking into consideration vorticity-related component of cosmological motion averts singularity and explains acceleration of the expansion. No mystic matter with dark energy is needed. That energy belongs to the local rotational motion (vorticity). Einstein's idea on static universe occurs to be encompassing conception for the standard cosmology, as well as for the emerging new (oscillating) one. Alexander Friedman gave to us its verbal model and was the most well prepared to give mathematical one.