Casimir Effect in the Presence of Minimal Lengths

TL;DR

This paper investigates how incorporating a minimal length scale into quantum models affects the Casimir force between parallel plates, potentially altering fundamental quantum phenomena.

Contribution

It applies the Kempf et al minimal length quantum model to analyze modifications in the Casimir effect, providing new insights into quantum gravity implications.

Findings

Minimal length reduces the magnitude of the Casimir force

Alterations depend on the minimal length scale

Potential implications for quantum gravity theories

Abstract

It is expected that the implementation of minimal length in quantum models leads to a consequent lowering of Planck's scale. In this paper, using the quantum model with minimal length of Kempf et al \cite{kempf0}, we examine the effect of the minimal length on the Casimir force between parallel plates.