Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-01-30
Phys.Lett. B621 (2005) 176-182
Physics
High Energy Physics
High Energy Physics - Theory
Added a section for linear and non-linear stability analysis of the equilibrium point. Added references. Corrected typos
Scientific paper
10.1016/j.physletb.2005.06.054
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.
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