The Casimir Effect in the Presence of a Minimal Length

TL;DR

This paper investigates how a fundamental minimal length scale, suggested by theories with extra dimensions, affects the Casimir energy between two plates, providing insights into quantum vacuum effects under modified spacetime resolutions.

Contribution

It introduces the impact of a minimal length on the Casimir effect, linking quantum field theory with theories of extra dimensions and quantum gravity.

Findings

Minimal length modifies the Casimir energy calculation.

Results suggest potential observable effects at accessible energy scales.

Provides a framework for testing quantum gravity effects experimentally.

Abstract

Large extra dimensions lower the Planck scale to values soon accessible. Not only is the Planck scale the energy scale at which effects of modified gravity become important. The Planck length also acts as a minimal length in nature, providing a natural ultraviolet cutoff and a limit to the possible resolution of spacetime. In this paper we examine the influence of the minimal length on the Casimir energy between two plates.