A quantum cosmology and discontinuous signature changing classical solutions

TL;DR

This paper explores classical and quantum cosmology with a scalar field in a flat FRW universe, focusing on discontinuous classical solutions at signature change and their quantum duals, relevant for early universe models.

Contribution

It introduces quantum cosmologically allowed discontinuities in classical solutions at signature change, highlighting their potential significance in early universe scenarios.

Findings

Discontinuous classical solutions are allowed at signature change.

Quantum dual solutions correspond to these discontinuities.

Implications for early universe cosmology.

Abstract

We revisit the classical and quantum cosmology of a universe in which a self interacting scalar field is coupled to gravity with a flat FRW type metric undergoing continuous signature transition. We arrange for quantum cosmologically allowed discontinuity in the classical solutions at the signature changing hypersurface, provided these solutions be dual in some respects. This may be of some importance in the study of early universe within the signature changing scenarios.