4D Gravity on a Brane in 5D Minkowski Space

TL;DR

This paper proposes a mechanism for emergent 4D Newtonian gravity on a 3-brane within 5D Minkowski space, where gravity behaves four-dimensionally at short distances and five-dimensionally at large scales, with implications for phenomenology.

Contribution

It introduces a novel mechanism for 4D gravity emergence on a brane in infinite 5D space, bridging short- and long-distance gravitational behaviors.

Findings

Correct 4D potential at short distances

5D potential at large distances

Discussion of phenomenological implications

Abstract

We suggest a mechanism by which four-dimensional Newtonian gravity emerges on a 3-brane in 5D Minkowski space with an infinite size extra dimension. The worldvolume theory gives rise to the correct 4D potential at short distances whereas at large distances the potential is that of a 5D theory. We discuss some phenomenological issues in this framework.