https://doi.org/10.1140/epjc/s10052-024-13005-z
Regular Article - Theoretical Physics
How does Casimir energy fall in 
-deformed space-time?
1
School of Physics, University of Hyderabad, Central University P.O., 500046, Hyderabad, Telangana, India
2
School of Physics and Applied Physics, Southern Illinois University-Carbondale, 62901, Carbondale, IL, USA
Received:
26
April
2024
Accepted:
10
June
2024
Published online:
25
June
2024
We investigate the response of Casimir energies to fluctuations in a scalar field in the background of a weak gravitational field in -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.
© The Author(s) 2024
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