Double Compactification

TL;DR

This paper explores a cosmological model where the universe undergoes two phases of space-time compactification, using toy models to analyze gauge configurations and their effects on dimensionality, including finite temperature behavior and inflation potential.

Contribution

It introduces simple models of double compactification and examines their behavior, highlighting the role of gauge configurations in changing space-time dimensionality.

Findings

Gauge configurations influence dimensional change during compactification.

Finite temperature effects are analyzed in the models.

Potential for inflationary scenarios is discussed.

Abstract

A cosmological scenario according to which our universe experienced space-time compactifications twice in its early development is investigated through toy models. In this scenario gauge configurations on an extra space play essential roles to bring about a change of the dimensionality of the compactified space. Simple models are offered and their behaviour at finite temperature is examined. A possibility of causing inflation and problems on our scenario is argued briefly.