Centripetal force on Casimir energies in $\kappa$-deformed rotating frame

Abstract

We investigate the implications of a fundamental length scale on the centripetal force on a rotating Casimir apparatus in $\kappa$-space-time. We model the Casimir apparatus rotating with constant angular speed using appropriate $\kappa$-deformed coordinates. We find the $\kappa$-deformed centripetal force on a single plate, as well as for parallel plates. We show that the Casimir energy, including the divergent part (self energies of the plates) experiences centripetal forces like a conventional mass. We also find centripetal force on oriented parallel plates rotating with constant angular speed in $\kappa$-space-time. Results show that the mass-energy equivalence principle holds in the $\kappa$-space-time.

18 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2404.10300

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Cited by in corpus (1)

• Thermal Casimir effect in $\kappa$-Minkowski space-time