Horava-Lifshitz modifications of the Casimir effect

TL;DR

This paper investigates how spacetime anisotropy, as proposed in Horava-Lifshitz gravity, alters the Casimir effect between parallel plates, revealing regimes where the force vanishes, reverses, or can be modeled perturbatively.

Contribution

It introduces a detailed analysis of the Casimir effect modifications due to Horava-Lifshitz spacetime anisotropy, including both nonperturbative and perturbative regimes.

Findings

Casimir force vanishes or reverses in nonperturbative regime

Perturbative model successfully incorporates anisotropy effects

Analysis suggests the nonperturbative approach makes the proposal untenable

Abstract

We study the modifications induced by spacetime anisotropy on the Casimir effect in the case of two parallel plates. Nonperturbative and perturbative regimes are analyzed. In the first case the Casimir force either vanishes or it reverses its direction which, in any case, makes the proposal untenable. On the other hand, the perturbative model enables us to incorporate appropriately the effects of spacetime anisotropy.