An Alternative to Compactification

TL;DR

This paper challenges the traditional view that Newton's law requires four non-compact dimensions, showing that a 3-brane in five dimensions with a non-factorizable geometry can still reproduce four-dimensional gravity accurately.

Contribution

It demonstrates that non-factorizable backgrounds allow for four-dimensional gravity without the need for a gap in the Kaluza-Klein spectrum.

Findings

Four-dimensional gravity is accurately reproduced in a 3-brane embedded in five dimensions.

A non-factorizable geometry can mimic compactification effects.

Newtonian and relativistic gravity are consistent with observations.

Abstract

Conventional wisdom states that Newton's force law implies only four non-compact dimensions. We demonstrate that this is not necessarily true in the presence of a non-factorizable background geometry. The specific example we study is a single 3-brane embedded in five dimensions. We show that even without a gap in the Kaluza-Klein spectrum, four-dimensional Newtonian and general relativistic gravity is reproduced to more than adequate precision.