Repulsive Casimir Force: Sufficient Conditions

TL;DR

This paper derives conditions under which the Casimir force between two plates becomes repulsive, using a model-independent analytical approach based on penetration depths, providing new insights into Casimir force manipulation.

Contribution

It introduces a model-independent method to determine sufficient conditions for repulsive Casimir forces based on penetration depths of materials.

Findings

Derived analytical constraints for repulsive Casimir force

Provided a complementary approach to existing models

Identified conditions independent of specific dielectric or magnetic properties

Abstract

In this paper the Casimir energy of two parallel plates made by materials of different penetration depth and no medium in between is derived. We study the Casimir force density and derive analytical constraints on the two penetration depths which are sufficient conditions to ensure repulsion. Compared to other methods our approach needs no specific model for dielectric or magnetic material properties and constitutes a complementary analysis.