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The regularized total Casimir energy in spacetimes with boundaries is not in general equal to the integral of the regularized energy density. This paradoxical phenomenon is most transparently analyzed in the simple example of a massless…

Quantum Physics · Physics 2007-05-23 Xinwei Kong , Finn Ravndal

The Casimir forces between two plates moving parallel to each other are found by calculating the vacuum electromagnetic stress tensor. The perpendicular force between the plates is modified by the motion but there is no lateral force on the…

Quantum Physics · Physics 2009-11-13 T. G. Philbin , U. Leonhardt

We examine the Casimir energy of 5D electro-magnetism in the recent standpoint. Z$_2$ symmetry is taken into account. After confirming the consistency with the past result, we do new things based on a new regularization. The regularization…

High Energy Physics - Theory · Physics 2007-12-27 Shoichi Ichinose

Moving mirrors are submitted to reaction forces by vacuum fields. The motional force is known to vanish for a single mirror uniformly accelerating in vacuum. We show that inertial forces (proportional to accelerations) arise in the presence…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

A general, exact formula is derived for the expectation value of the electromagnetic energy density of an inhomogeneous absorbing and dispersive dielectric medium in thermal equilibrium, assuming that the medium is well approximated as a…

Quantum Physics · Physics 2015-05-28 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni

In linearized quantum gravity, a shift of the average energy-momentum can be compensated by a shift of the average gravitational field. This allows a renormalization scheme that naturally removes the contribution of quantum vacuum…

General Relativity and Quantum Cosmology · Physics 2007-08-28 H. Nikolic

A new formula for the Casimir energy of a dispersive dilute dielectric ball is discussed. The formula for the Casimir energy of a polarizable particle situated in a perfectly conducting wedge-shaped cavity is derived by a path-integral…

Condensed Matter · Physics 2009-11-07 Valery N. Marachevsky

According to the general theory of relativity, kinetic energy contributes to gravitational mass. Surprisingly, the observational evidence for this prediction does not seem to be discussed in the literature. I reanalyze existing experimental…

General Relativity and Quantum Cosmology · Physics 2011-01-13 S. Carlip

The Casimir effect for massless scalar fields satisfying Dirichlet boundary conditions on the parallel plates in the presence of one fractal extra compactified dimension is analyzed. We obtain the Casimir energy density by means of the…

High Energy Physics - Theory · Physics 2015-05-28 Hongbo Cheng

We consider the vacuum energy of the electromagnetic field in systems characterized by a constant conductivity using the zeta-regularization approach. The interaction in two cases is investigated: two infinitely thin parallel sheets and an…

Quantum Physics · Physics 2014-06-11 Nail Khusnutdinov , D. Drosdoff , Lilia M. Woods

The phenomena implied by the existence of quantum vacuum fluctuations, grouped under the title of the Casimir effect, are reviewed, with emphasis on new results discovered in the past four years. The Casimir force between parallel plates is…

High Energy Physics - Theory · Physics 2011-07-19 Kimball A. Milton

Vacuum fluctuations are a fundamental and irremovable property of a quantized electromagnetic field. These fluctuations are the cause of the Casimir effect -- mutual attraction of two electrically neutral metallic plates in vacuum in the…

Optics · Physics 2023-11-23 Mikhail Krasnov , Arslan Mazitov , Nikita Orekhov , Denis G. Baranov

We revisit the path integral computation of the Casimir energy between two infinite parallel plates placed in a QED vacuum. We implement perfectly magnetic conductor boundary conditions (as a prelude to the dual superconductor picture of…

High Energy Physics - Theory · Physics 2020-08-05 David Dudal , Pablo Pais , Luigi Rosa

A charged parallel plate capacitor will create particle-antiparticle pairs by the Schwinger process and discharge over time. We consider the full quantum discharge process in 1+1 dimensions including backreaction, when the electric field…

High Energy Physics - Theory · Physics 2013-10-09 Yi-Zen Chu , Tanmay Vachaspati

According to the experimentally observed theory of the static Casimir effect, two metal, uncharged, conductive and flat plates attract each other in vacuum >.Herein, equations of motion of the plates which are influenced by Casimir…

General Physics · Physics 2007-05-23 Mohammad Mansouryar

We calculate the Casimir energy at spherical cavities within a host made up of an arbitrary material described by a possibly dispersive and lossy dielectric response. To that end, we add to the coherent optical response a contribution that…

Quantum Physics · Physics 2008-07-16 W. Luis Mochan , Carlos Villarreal-Lujan

Recent work in the literature had evaluated the energy-momentum tensor of a Casimir apparatus in a weak gravitational field, for an electromagnetic field subject to perfect conductor boundary conditions on parallel plates. The Casimir…

High Energy Physics - Theory · Physics 2008-11-26 Giampiero Esposito , George M. Napolitano , Luigi Rosa

It is well known that Einstein gravity is non-renormalizable; however a generalized approach is proposed that leads to Einstein gravity {\it after} renormalization. This them implies that at least one candidate for quantum gravity treats…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Y. Shiekh

The Casimir energy is evaluated for massless scalar fields under Dirichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on one and two infinite parallel plates moving by…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , R. S. Davtyan , A. H. Yeranyan

The Casimir interaction energy for a class of discrete self-similar configuration of parallel plates is evaluated using existing methods. The similarities to characteristics of an attractive Casimir force is deduced only at infinite range…

Quantum Physics · Physics 2022-01-04 Venkat Abhignan , R. Sankaranarayanan