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.

arXiv comment18 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2404.10300

References in corpus (25)

• Lorentz invariance with an invariant energy scale
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Gravity's Rainbow
• The Casimir effect: Recent controversies and progress
• The Casimir Effect: Physical Manifestations of Zero Point Energy
• Introduction to Doubly Special Relativity
• Deformed Field Theory on kappa-spacetime
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• How Does Casimir Energy Fall?
• Non-Linear Relativity in Position Space
• Covariant realizations of kappa-deformed space
• Symmetries of quantum space-time in 3 dimensions
• How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy
• Kappa-Minkowski spacetime, Kappa-Poincaré Hopf algebra and realizations
• Boundaries and the Casimir effect in non-commutative space-time
• How does Casimir energy fall? IV. Gravitational interaction of regularized quantum vacuum energy
• How does Casimir energy fall? III. Inertial forces on vacuum energy
• Hawking radiation in the kappa-spacetime
• Kappa-deformed quantum field theory and Casimir effect
• Casimir effect in 2+1 dimensional noncommutative theories
• Time-space noncommutativity and Casimir effect
• $\kappa$--Rindler space
• Casimir effect in DFR space-time
• How does Casimir energy fall in $\kappa$-deformed space-time?

Cited by in corpus (1)

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