Signature transition and compactification

TL;DR

This paper explores how changing the space-time signature and compactifying internal dimensions in a six-dimensional cosmological model can occur due to interactions with Maxwell fields localized in internal space.

Contribution

It demonstrates the possibility of signature change and compactification driven by Maxwell field interactions in a higher-dimensional cosmological setting.

Findings

Signature change can occur in six-dimensional models.

Interaction with Maxwell fields influences internal dimension compactification.

The model provides a mechanism for dynamic space-time signature transitions.

Abstract

It is shown that a change in the signature of the space-time metric together with compactification of internal dimensions could occure in a six-dimensional cosmological model. We also show that this is due to interaction with Maxwell fields having support in the internal part of the space-time.