The Quantum State Of The Universe From Deformation Quantization and Classical-Quantum Correlation

TL;DR

This paper applies phase space quantization to quantum cosmology, deriving exact solutions that reveal non-singular universe models with quantum-modified radiation density, bridging classical and quantum descriptions.

Contribution

It introduces a phase space quantization approach to quantum cosmology, providing exact solutions and insights into non-singular universe models with quantum effects.

Findings

Wigner functions peak around classical paths for large scale factors

Models indicate non-singular universes with quantum-modified radiation density

Exact solutions to the Moyal-Wheeler-DeWitt equation in phase space

Abstract

In this paper we study the quantum cosmology of homogeneous and isotropic cosmology, via the Weyl-Wigner-Groenewold-Moyal formalism of phase space quantization, with perfect fluid as a matter source. The corresponding quantum cosmology is described by the Moyal-Wheeler-DeWitt equation which has exact solutions in Moyal phase space, resulting in Wigner quasiprobability distribution functions peaking around the classical paths for large values of scale factor. We show that the Wigner functions of these models are peaked around the non-singular universes with quantum modified density parameter of radiation.