Intersection Democracy for Winding Branes and Stabilization of Extra Dimensions

TL;DR

This paper demonstrates that a democratic approach to brane intersections in pure Einstein gravity can stabilize extra dimensions, with the observed space evolving as matter-like dust, under specific dimensionality conditions.

Contribution

It introduces a democratic principle for brane intersection configurations that leads to stabilization of extra dimensions within Einstein gravity.

Findings

Extra dimensions can be stabilized through democratic brane intersections.

Observed space evolves as matter-like dust in this framework.

Stability condition requires observed space dimension to satisfy 3 ≤ m ≤ N.

Abstract

We show that, in the context of pure Einstein gravity, a democratic principle for intersection possibilities of branes winding around extra dimensions in a given partitioning yield stabilization, while what the observed space follows is matter-like dust evolution . Here democracy is used in the sense that, in a given decimation of extra dimensions, all possible wrappings and hence all possible intersections are allowed. Generally, the necessary and sufficient condition for this is that the dimensionality $m$ of the observed space dimensions obey $3\leqm \le N$ where $N$ is the decimation order of the extra dimensions.