Fluctuations of a (Tensionless) Brane World

TL;DR

This paper analyzes quantum fluctuations of a tensionless 3-brane, revealing universal $1/r^3$ forces between objects on the brane, which could be experimentally detectable.

Contribution

It introduces a detailed calculation of quantum fluctuations in a tensionless brane world and uncovers universal forces independent of mass.

Findings

Universal $1/r^3$ forces between objects on tensionless branes

Quantum fluctuations induce measurable forces

Analysis of limiting cases of induced potentials

Abstract

We compute the quantum fluctuations of a 3-brane with tension, energy density and stiffness. As a result of the fluctuations there are induced forces between massive objects living on the brane. We study various limiting cases of the induced potential between 2 and 3 massive objects. One quite interesting finding is that for tensionless brane world there are universal (mass independent) $1/r^3$ forces between the objects on the brane. These forces are in principle measurable.