The asymptotic behavior of Casimir force in the presence of compactified universal extra dimensions

TL;DR

This paper investigates how the Casimir force behaves in higher-dimensional spacetimes with compactified extra dimensions, revealing that it becomes repulsive at large distances, which conflicts with experimental observations.

Contribution

It provides an analysis of the asymptotic behavior of the Casimir force in the presence of universal extra dimensions within Kaluza-Klein theory, highlighting the force's repulsive nature at large separations.

Findings

Casimir force becomes repulsive at large distances in higher dimensions

The magnitude of repulsive force increases with the size of extra dimensions

Repulsive behavior contradicts experimental results

Abstract

The Casimir effect for parallel plates in the presence of compactified universal extra dimensions within the frame of Kaluza-Klein theory is analyzed. Having regularized and discussed the expressions of Casimir force in the limit, we show that the nature of Casimir force is repulsive if the distance between the plates is large enough and the higher-dimensional spacetime is, the greater the value of repulsive Casimir force between plates is. The repulsive nature of the force is not consistent with the experimental phenomena.