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Cosmology with non-perturbative quantum corrections resulting from torsion isconsidered. It is shown that the evolution of closed, open and flat Universesis changed because of the presence of a non-zero dispersion of quantum torsion.The evolution of a Universe with quantum torsion and with one type of averagecurvature can be similar to the evolution of a Universe without quantum torsionand with another type of average curvature. For the description of thenon-perturbative quantum torsion, a vector field approximation is applied.

Quantum torsion with non-zero standard deviation: non-perturbative approach for cosmology