More studies on Metamaterials Mimicking de Sitter space

TL;DR

This paper investigates the dominant frequencies affecting Casimir energy in metamaterials designed to mimic de Sitter space, revealing potential for laboratory experiments based on these findings.

Contribution

It provides a detailed analysis of the eigenfrequencies and degeneracies influencing Casimir energy in such metamaterials, linking theoretical predictions to experimental feasibility.

Findings

Dominant frequencies are inversely proportional to cavity size

Degeneracy explains large Casimir energy results

Laboratory experiments are theoretically feasible

Abstract

We estimate the dominating frequencies contributing to the Casimir energy in a cavity of metamaterials mimicking de Sitter space, by solving the eigenvalue problem of Maxwell equations. It turns out the dominating frequencies are the inverse of the size of the cavity, and the degeneracy of these frequencies also explains our previous result on the unusually large Casimir energy. Our result suggests that carrying out the experiment in laboratory is possible theoretically.