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 -deformed space-time. We model the Casimir plates in a gravitational field by -deformed Rindler coordinates and calculate the Casimir energy using the -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 -deformed space-time even though a length scale is introduced through space-time non-commutativity.
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