Archimedes Force on Casimir Apparatus
arXiv:1606.03383 · doi:10.1142/S0217732316501662
Abstract
We address a problem of Casimir apparatus in dense medium and weak gravitational field. The falling of the apparatus has to be governed by the equivalence principle, with proper account for contributions to the weight of the apparatus from its material part and from distorted quantum fields. We discuss general expression for the corresponding force in metric with cylindrical symmetry. By way of example we compute explicit expression for Archimedes force, acting on the Casimir apparatus of finite size, immersed into thermal bath of free scalar field. It is shown that besides universal term, proportional to the volume of the apparatus, there are non-universal quantum corrections, depending on the boundary conditions.
13 pages, 1 figure
References in corpus (9)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- How Does Casimir Energy Fall?
- Relativistic mechanics of Casimir apparatuses in a weak gravitational field
- How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy
- Towards weighing the condensation energy to ascertain the Archimedes force of vacuum
- How does Casimir energy fall? IV. Gravitational interaction of regularized quantum vacuum energy
- How does Casimir energy fall? III. Inertial forces on vacuum energy
- The Field Theory of Specific Heat
- Finite temperature quantum field theory in the heat kernel method