Low Scale Unification, Newton's Law and Extra Dimensions

TL;DR

This paper explores how extra dimensions could modify Newton's law of gravity, deriving Yukawa-type corrections and analyzing their physical implications in theories with low-scale unification.

Contribution

It provides a derivation of gravity corrections due to extra dimensions, highlighting their form and potential physical consequences in low-energy unification models.

Findings

Corrections to Newton's law are of Yukawa type in four-dimensional limit.

Sub-leading terms depend on the number of extra dimensions and the ratio of distance to compactification radius.

Physical implications of these modifications are briefly discussed.

Abstract

Motivated by recent work on low energy unification, in this short note we derive corrections on Newton's inverse square law due to the existence of extra decompactified dimensions. In the four-dimensional macroscopic limit we find that the corrections are of Yukawa type. Inside the compactified space of n-extra dimensions the sub-leading term is proportional to the (n+1)- power of the distance over the compactification radius ratio. Some physical implications of these modifications are briefly discussed.