English

How does Casimir energy fall in $\kappa$-deformed space-time?

High Energy Physics - Theory 2024-07-08 v1

Abstract

We investigate the response of Casimir energies to fluctuations in a scalar field in a weak gravitational field in the κ\kappa-deformed space-time. We model the Casimir plates in a gravitational field by κ\kappa-deformed Rindler coordinates and calculate the Casimir energy using the κ\kappa-deformed scalar field. We show that the Casimir energy accelerates in a weak gravitational field like a mass. Thus, our calculations show that the mass-energy equivalence principle holds in κ\kappa-deformed space-time even though a length scale is introduced through space-time non-commutativity.

Keywords

Cite

@article{arxiv.2404.10300,
  title  = {How does Casimir energy fall in $\kappa$-deformed space-time?},
  author = {E. Harikumar and K. V. Shajesh and Suman Kumar Panja},
  journal= {arXiv preprint arXiv:2404.10300},
  year   = {2024}
}

Comments

24 pages

R2 v1 2026-06-28T15:55:25.229Z