paper

Quantum supersymmetric FRW cosmology with a scalar field

arXiv:1511.04425 · doi:10.1103/PhysRevD.93.043505

Abstract

We analyze the quantum supersymmetric cosmological FRW model with a scalar field, with a conditional probability density and the scalar field identified as time. The Hilbert space has a spinorial structure and there is only one consistent solution, with a conserved probability density. The dynamics of the scale factor is obtained from its mean value. The uncertainty relations are fulfilled and the corresponding fluctuations are consistent with a semiclassical Universe. We give two examples which turn out to have negative potential.

12 pages, 11 figures

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