Speed Limit on the brane

TL;DR

This paper explores how the speed limit on a brane in higher-dimensional space relates to the bulk, proposing that the speed of light varies with gravitational potential, potentially explaining fundamental scale hierarchies.

Contribution

It introduces a model where the speed of light depends on gravitational potential, offering a novel approach to address the hierarchy problem within 5-dimensional theories.

Findings

Speed of light varies with gravitational potential on the brane.

The model provides a new perspective on the hierarchy between Planck and Higgs scales.

Potential implications for fundamental constants in higher-dimensional theories.

Abstract

Relationship between the speed limit on the brane and in the bulk is discussed. We assume that the speed of light, similar to the 4-dimensional gravitational constant, is not a primary fundamental constant but depends on the gravitational potential of the brane. This opens the way to explain the hierarchy between the Plank and Higgs scales even within the simplest 5-dimensional model.