On the corrections to the Casimir effect depending on the resolution of measurement

TL;DR

This paper investigates how the Casimir force is affected by the measurement resolution, proposing corrections to the Casimir energy based on the ratio of displacement amplitude to plate separation.

Contribution

It introduces a novel correction to the Casimir effect considering measurement resolution, extending the traditional understanding of vacuum fluctuation effects.

Findings

Derived correction to Casimir energy based on measurement resolution.

Shows dependence of Casimir force on displacement amplitude relative to plate separation.

Supports the idea that measurement resolution influences quantum field effects.

Abstract

The Casimir force $\cF = -\frac{\pi^2\hbar c}{240a^4}$, which attracts to each other two perfectly conducting parallel plates separated by the distance $a$ in vacuum, is one of the blueprints of the reality of vacuum fluctuations. Following the recent conjecture, that quantum fields should be described in terms of the fields depending on the resolution of measurement, rather than the position alone (M.V.Altaisky, Phys. Rev. D 81(2010)125003), we derive the correction to the Casimir energy depending on the ratio of the plate displacement amplitude to the distance between plates.