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

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arxiv 2404.10300 v1 pith:WKO3L5IU submitted 2024-04-16 hep-th

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

classification hep-th
keywords casimirdeformedfieldkappaspace-timeenergygravitationalscalar
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the response of Casimir energies to fluctuations in a scalar field in a weak gravitational field in the $\kappa$-deformed space-time. We model the Casimir plates in a gravitational field by $\kappa$-deformed Rindler coordinates and calculate the Casimir energy using the $\kappa$-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 $\kappa$-deformed space-time even though a length scale is introduced through space-time non-commutativity.

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