Kaluza -- Klein Quantum Cosmology with Primordial Negative Cosmological Constant

TL;DR

This paper explores quantum cosmology models with negative cosmological constants, proposing a quantum inflationary phase in higher dimensions and discussing a transition to a classical universe with zero cosmological constant.

Contribution

It introduces a novel quantum cosmology framework with negative vacuum energy, explaining early universe dynamics and dimensional evolution.

Findings

Existence of a quantum inflationary phase in certain dimensions

Simultaneous quantum deflation in remaining dimensions

Potential transition to a classical universe with zero cosmological constant

Abstract

In many interesting models, including superstring theories, a negative vacuum energy is predicted. Although this effect is usually regarded as undesirable from a cosmological point of view, we show that this can be the basis for a new approach to the cosmology of the early Universe. In the framework of quantum cosmology (in higher dimensions) when we consider a negative cosmological constant and matter that could be dust or, alternatively, coherent excitations of a scalar field, the role of cosmic time can be understood. Then we can predict the existence of a ``quantum inflationary phase'' for some dimensions and a simultaneous ``quantum deflationary phase'' for the remaining dimensions. We discuss how it may be possible to exit from this inflation-compactification era to a phase with zero cosmological constant which allows a classical description at late times.