Huge Casimir effect at finite temperature in electromagnetic Rindler space

TL;DR

This paper studies the finite-temperature Casimir effect in electromagnetic Rindler space, revealing a specific proportionality of Casimir energy to temperature and cutoff distance, and proposes a feasible laboratory experiment using metamaterials.

Contribution

It introduces a novel analysis of the Casimir effect at finite temperature in Rindler space and suggests a practical experimental setup with metamaterials.

Findings

Casimir energy proportional to T^4/d^2 at high temperature

Proposed metamaterial design to mimic Rindler space

Feasible laboratory measurement of the effect

Abstract

We investigate the Casimir effect at finite temperature in electromagnetic Rindler space, and find the Casimir energy is proportional to $\frac{T^4}{d^2}$ in the high temperature limit, where $T\approx 27 ^\circ\mathrm{C}$ is the temperature and $d\approx 100nm$ is a small cutoff. We propose to make metamaterials to mimic Rindler space and measure the predicted Casimir effect. Since the parameters of metamaterials we proposed are quite simple, this experiment would be easily implemented in laboratory.