OICC Press Journal of Theoretical and Applied Physics 2251-7235 19 4 2025 08 31 Casimir effect in stochastic semi-classical gravity 10.57647/j.jtap.2025.1904.35 EN Mohammad Hossein Bek Khoshnevis Department of Physics, Central Tehran Branch, Islamic Azad University (IAUCTB), P.O. Box 14676-86831, Tehran, Iran Sadaf Ebadi Department of Physics, Central Tehran Branch, Islamic Azad University (IAUCTB), P.O. Box 14676-86831, Tehran, Iran Mohammad Reza Lahooti Ershad Damavand Institute for Higher Education (EDI), P.O. Box 14168-34311, Tehran, Iran Reza Pirmoradian Ershad Damavand Institute for Higher Education (EDI), P.O. Box 14168-34311, Tehran, Iran Journal Article 2025 08 31 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.