Black Brane World Scenarios

TL;DR

This paper explores a brane world model within black brane horizons, linking the horizon size to the compactification scale and demonstrating how charge conservation stabilizes this size, providing a microscopic basis for the hierarchy.

Contribution

It introduces a novel scenario where the horizon size of black branes determines the compactification scale, connecting microscopic charges to macroscopic hierarchy stabilization.

Findings

Horizon size corresponds to the compactification scale.

Large charge magnitudes lead to a large hierarchy.

Charge conservation stabilizes the compactification size.

Abstract

We consider a brane world residing in the interior region inside the horizon of extreme black branes. In this picture, the size of the horizon can be interpreted as the compactification size. The large mass hierarchy is simply translated into the large horizon size, which is provided by the magnitude of charges carried by the black branes. Hence, the macroscopic compactification size is a quantity calculable from the microscopic theory which has only one physical scale, and its stabilization is guaranteed from the charge conservation.