Received: 2025-02-22
Revised: 2025-06-23
Accepted: 2025-08-05
Published in Issue 2025-08-31
Copyright (c) 2025 Mohammad Hossein Bek Khoshnevis, Sadaf Ebadi, Mohammad Reza Lahooti, Reza Pirmoradian (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
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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.
Keywords
- Casimir force,
- Semi-classical gravity,
- Fermi force,
- Weak field
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10.57647/j.jtap.2025.1904.35