Centripetal force on Casimir energies in $\hat{I}º$-deformed rotating frame

Abstract

We investigate the implications of a fundamental length scale on the centripetal force on a rotating Casimir apparatus in $\hat{I}º$-space-time. We model the Casimir apparatus rotating with constant angular speed using appropriate $\hat{I}º$-deformed coordinates. We find the $\hat{I}º$-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 $\hat{I}º$-space-time. Results show that the mass-energy equivalence principle holds in the $\hat{I}º$-space-time.

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