Cosmological Rescaling through Warped Space

TL;DR

This paper explores how warped space in brane world scenarios can relate to the hierarchy problem, showing that anti-D3-brane dynamics can produce exponential scale differences observable as inhomogeneities.

Contribution

It introduces a model where anti-D3-brane motion in warped backgrounds explains the hierarchy problem through cosmological scale rescaling.

Findings

Anti-D3-brane self-energy dominates over background after DBI phase

World-volume inhomogeneity is exponentially stretched, matching hierarchy scale

Model links brane dynamics to observable scale hierarchies

Abstract

We discuss a scenario where at least part of the homogeneity on a brane world can be directly related to the hierarchy problem through warped space. We study the dynamics of an anti-D3-brane moving toward the infrared cut-off of a warped background. After a region described by the DBI action, the self-energy of the anti-D3-brane will dominate over the background. Then the world-volume scale of the anti-D3-brane is no longer comoving with the background geometry. After it settles down in the infrared end, the world-volume inhomogeneity will appear, to a Poincare observer, to be stretched by an exponentially large ratio. This ratio is close to that of the hierarchy problem between the gravitational and electroweak scales.