The Casimir force between parallel plates in Randall-Sundrum I model

TL;DR

This paper reexamines the Casimir effect in the Randall-Sundrum I model, finding that the force is repulsive at larger distances and questioning the feasibility of using Casimir measurements to estimate brane separation.

Contribution

It provides a new analysis of the Casimir force in the Randall-Sundrum I model and challenges previous claims about brane separation estimation.

Findings

Casimir force is repulsive at non-tiny distances

Estimating brane separation via Casimir effect is not feasible

Contradicts previous studies on brane distance measurement

Abstract

The Casimir effect for parallel plates within the frame of five-dimensional Randall-Sundrum model with two branes is reexamined. We argue that the nature of Casimir force is repulsive if the distance between the plates is not extremely tiny, which is not consistent with the experimental phenomena. We also point out that the estimation of the separation between the two branes, by means of Casimir effect for two-parallel-plate system, is not feasible, in contrast to another recent study.