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In order to clarify why the zero-point energy associated with the vacuum fluctuations cannot be a candidate for the dark energy in the universe, a comparison with the Casimir effect is analyzed in some detail. A principle of epistemology is…

General Physics · Physics 2007-05-23 Guang-jiong Ni

The temperature dependence of the Casimir effect for the radiation field confined between two conducting plates is analysed. The Casimir energy is shown to decline exponentially with temperature while the Casimir entropy which is defined in…

Quantum Physics · Physics 2007-05-23 M. Revzen , A. Mann

The Casimir friction problem can be dealt with in a simplified way by considering two harmonic oscillators moving with constant relative velocity. Recently we calculated the energy dissipation for such a case, [EPL {\bf 91}, 60003 (2010);…

Quantum Physics · Physics 2011-11-08 Johan S. Høye , Iver Brevik

Recently, we have demonstrated that for a certain class of Casimir-type systems ("devices") the energy of zero-point vacuum fluctuations reaches its global minimum when the device rotates about a certain axis rather than remains static.…

Quantum Physics · Physics 2013-02-12 M. N. Chernodub

We study the problem of whether the active gravitational mass of an isolated system is equal to the total energy in the tetrad theory of gravitation. The superpotential is derived using the gravitational Lagrangian which is invariant under…

General Relativity and Quantum Cosmology · Physics 2009-10-28 T. Shirafuji , G. G. L. Nashed , Y. Kobayashi

Two-point functions, the mean field squared and the vacuum expectation value (VEV) of the energy-momentum tensor are investigated for the electromagnetic field in the geometry of parallel plates on background of $(D+1)$% -dimensional dS…

High Energy Physics - Theory · Physics 2015-05-28 A. S. Kotanjyan , A. A. Saharian , H. A. Nersisyan

The physical property of mass has two distinct aspects, gravitational mass and inertial mass. The weight of a particle depends on its gravitational mass. According to the weak form of the equivalence principle, the gravitational and…

General Physics · Physics 2007-05-23 Fran De Aquino

We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

In a recent paper [arXiv:0904.2904] using a conjecture it is shown how one can calculate the effect of a weak stationary gravitational field on vacuum energy in the context of Casimir effect in an external gravitational field treated in 1+3…

General Relativity and Quantum Cosmology · Physics 2013-05-30 B. Nazari , M. Nouri-Zonoz

Many evidences appear in the past decades and show that the negativity of Casimir energy is responsible for exotic mechanical and gravitational effects. We study in this work the Lorentz boost of a Casimir cavity, on which little attention…

Quantum Physics · Physics 2024-12-10 Yu-Song Cao , YanXia Liu , Ding-Fang Zeng

We consider a system consisting of a quantum, massless, real scalar field, in the presence of nonlinear mirrors: infinite parallel planes, upon which the field satisfies nonlinear boundary conditions. The latter are implemented by…

High Energy Physics - Theory · Physics 2015-12-30 C. D. Fosco , L. E. Oxman

We study the Casimir energy due to a quantum real scalar field coupled to two planar, infinite, zero-width, parallel mirrors with non-homogeneous properties. These properties are represented, in the model we use, by scalar functions defined…

High Energy Physics - Theory · Physics 2020-02-26 Cesar D. Fosco , Francisco D. Mazzitelli

We introduce the concept of Casimir friction, i.e. friction due to quantum fluctuations. In this first article we describe the calculation of a constant torque, arising from the scattering of quantum fluctuations, on a dielectric rotating…

Quantum Physics · Physics 2008-04-09 Yves Pomeau , David C. Roberts

We calculate the Casimir energy for scalar and gauge fields in interaction with zero-width mirrors, including quantum effects due to the matter fields inside the mirrors. We consider models where those fields are either scalar or fermionic,…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

A recent theoretical calculation shows that the Casimir force between two parallel plates can be repulsive for plates with nontrivial magnetic properties (O. Kenneth et al., Phys. Rev. Lett. 89, 033001 (2002)). According to the authors, the…

Quantum Physics · Physics 2009-11-10 D. Iannuzzi , F. Capasso

Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. The relations among…

Mathematical Physics · Physics 2008-04-25 Stephen A. Fulling

Using functional integral methods, we study the Casimir effect for the case of two infinite parallel plates in the QED vacuum, with (different) perfect electromagnetic boundary conditions applied to both plates. To enforce these boundary…

High Energy Physics - Theory · Physics 2024-07-01 David Dudal , Aaron Gobeyn , Thomas Oosthuyse , Sebbe Stouten , David Vercauteren

The free energy due to the vacuum fluctuations of matter fields on a classical gravitational background is discussed. It is shown explicitly how this energy is calculated for a non-minimally coupled scalar field in an arbitrary…

High Energy Physics - Theory · Physics 2007-05-23 Karsten Bormann , Frank Antonsen

On the analogy of the Casimir effect, we present an effect of quantum-field fluctuations, attributed to gravitational field coupling to the zero-point energy of virtual particles in the vacuum. In the process of black hole's formation, such…

Astrophysics · Physics 2009-11-07 She-Sheng Xue

It is shown that the one-loop effective action of unimodular gravity is the same as that of ordinary gravity, restricted to unimodular metrics. The only difference is in the treatment of the global scale degree of freedom and of the…

General Relativity and Quantum Cosmology · Physics 2018-08-01 R. Percacci