1204.0628 (Vladimir Dzhunushaliev)

Nonperturbative quantum gravity effects: an Euclidezation of spacetime    [PDF]

Vladimir Dzhunushaliev

Heisenberg's nonperturbative quantization technique is applied for the nonpertrubative quantization of gravity. An infinite equations set for all green functions is obtained. An approximation is considered where: (a) the metric remains as a classical field; (b) the affine connection can be decomposed on a classical and quantum parts; (c) the classical part of the affine connection is Christoffel symbols; (d) the quantum part is a torsion. Using a scalar and vector fields approximation it is shown that nonperturbative quantum effects gives rise to a cosmological constant and an Euclidezation of the spacetime. The Euclidezation can be considered as the cancellation of a cosmological singularity.

View original: http://arxiv.org/abs/1204.0628