Modification of the Casimir Effect due to a Minimal length scale

TL;DR

This paper explores how a fundamental minimal length scale, motivated by quantum gravity and string theory, modifies the Casimir effect using an effective quantum model, with implications for theories involving extra dimensions.

Contribution

It introduces a model to analyze the impact of a minimal length scale on the Casimir effect, extending understanding of quantum phenomena at Planck-scale physics.

Findings

Minimal length modifies the Casimir force predictions.

The effect is significant near the Planck length or in models with large extra dimensions.

Provides a framework for future experimental tests of quantum gravity effects.

Abstract

The existence of a minimal length scale, a fundamental lower limit on spacetime resolution is motivated by various theories of quantum gravity as well as string theory. Classical calculations involving both quantum theory and general relativity yield the same result. This minimal length scale is naturally of the order of the Planck length, but can be as high as ~TeV^-1 in models with large extra dimensions. We discuss the influence of a minimal scale on the Casimir effect on the basis of an effective model of quantum theory with minimal length.