Relaxation Principle in (n+1) Dimensions
High Energy Physics - Theory
2014-09-22 v1
Abstract
Why do we live in a (3+1) dimensional universe? In this paper, I review the "relaxation principle" first introduced by Karch and Randall (arXiv:hep-th/0506053v2) and generalize its ideas to an arbitrary (n+1) dimensions. This is done by referring to the Friedman equation and the scaling solution to derive the energy densities of the non-interacting and interacting branes, and then formulating their dimensionalities. I also demonstrate that the largest interacting d-brane in n spatial dimensions is always the (n-2)-brane, and that such dimensionality constraint "relaxed" our universe from nine dimensions to three dimensions.
Cite
@article{arxiv.1409.5492,
title = {Relaxation Principle in (n+1) Dimensions},
author = {Choong Min Um},
journal= {arXiv preprint arXiv:1409.5492},
year = {2014}
}
Comments
3 pages