Dark Energy and Stabilization of Extra Dimensions

TL;DR

This paper explores how Casimir energies in a brane world with extra dimensions could stabilize those dimensions and contribute to dark energy, potentially linking topology asymmetry to geometric hierarchy.

Contribution

It proposes a non-supersymmetric brane world model where Casimir energies stabilize extra dimensions and induce accelerated expansion, connecting topology and hierarchy.

Findings

Casimir energies can stabilize toroidal extra dimensions.

The model induces accelerated expansion in non-compact directions.

Potential link between topology asymmetry and geometric hierarchy.

Abstract

We discuss the role Casimir energies may play in addressing issues of moduli stabilization and dark energy. In particular, we examine a (non-supersymmetric) brane world scenario with toroidal extra dimensions in which Casimir energies of bulk fields generate a stabilizing potential for the toroidal volume while driving accelerated expansion in the non-compact directions. We speculate that such a scenario might establish a link between asymmetric topology and asymmetric geometry; that is, asymmetric topology could be linked to the hierarchy between large and small dimensions.