On the Casimir effect for parallel plates in the spacetime with one extra compactified dimension

TL;DR

This paper investigates the Casimir effect between parallel plates in a spacetime with one extra compactified dimension, revealing that the force becomes repulsive at large distances, contrary to experimental observations.

Contribution

It provides a detailed reexamination of the Casimir effect with an extra dimension and clarifies the force's behavior at different distances.

Findings

Casimir force becomes repulsive at large plate separations

Regularized expressions for the Casimir force are derived

Results conflict with experimental data on Casimir force behavior

Abstract

In this paper, the Casimir effect for parallel plates in the presence of one compactified universal extra dimension is reexamined in detail. Having regularized the expressions of Casimir force, we show that the nature of Casimir force is repulsive if the distance between the plates is large enough, which is disagree with the experimental phenomena.