Casimir Effect in Stochastic Semi-Classical Gravity

TL;DR

This paper investigates how stochastic semi-classical gravity modifies the Casimir effect, revealing that corrections are highly sensitive to plate separation and weak field parameters, thus deepening understanding of quantum field effects in gravity.

Contribution

It introduces a first-order correction to semi-classical gravity via the Einstein-Langevin equation and analyzes its impact on the Casimir force.

Findings

Corrections depend strongly on plate distance.

Sensitivity to the order parameter of the weak field.

Provides insights into quantum effects in stochastic gravity.

Abstract

This article aims to examine the Casimir effect in the framework of stochastic semi-classical gravity. We commence with the semi-classical Einstein-Langevin equation, which introduces a first-order correction to the semi-classical gravity theory. Subsequently, we analyze the alteration in the Casimir force caused by this type of correction. Our results demonstrate that the corrections exhibit significant sensitivity to both the distance between the two parallel plates and the order parameter of the weak field. This finding underscores the nuanced interplay between these factors and the overall behavior of the system, providing valuable insights into the underlying dynamics.