How does Casimir energy fall in $κ$-deformed space-time?
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Abstract
We investigate the response of Casimir energies to fluctuations in a scalar field in a weak gravitational field in the $κ$-deformed space-time. We model the Casimir plates in a gravitational field by $κ$-deformed Rindler coordinates and calculate the Casimir energy using the $κ$-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 $κ$-deformed space-time even though a length scale is introduced through space-time non-commutativity.Keywords
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This publication has 2 references indexed in Scilit:
- Introduction to Doubly Special Relativity2005
- The Casimir Effect: Physical Manifestations of Zero-Point EnergyAmerican Journal of Physics, 2002