Quantum Cauchy problem in cosmology

TL;DR

This paper develops a framework for quantum cosmology's effective equations, addressing the quantum Cauchy problem with specific wavefunctions, and applies it to a model explaining the quantum origin of inflation.

Contribution

It introduces a general framework for effective equations in quantum cosmology and applies it to a model with non-minimal coupling related to inflation's quantum origin.

Findings

Framework for effective equations in quantum cosmology

Application to a model with negative non-minimal coupling

Insights into quantum inflaton mode effects

Abstract

We develop a general framework for effective equations of expectation values in quantum cosmology and pose for them the quantum Cauchy problem with no-boundary and tunneling wavefunctions. We apply this framework in the model with a big negative non-minimal coupling, which incorporates a recently proposed low energy (GUT scale) mechanism of the quantum origin of the inflationary Universe and study the effects of the quantum inflaton mode.