Abstract
The Casimir effect for parallel plates within the frame of the five-dimensional Bandall–Sundrum model with two branes is re-examined. 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, meaning that the Bandall–Sundrum I model can not be acceptable. 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.