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In this paper we sum over the spherical modes appearing in the expression for the Casimir energy of a conducting sphere and of a dielectric ball (assuming the same speed of light inside and outside), before doing the frequency integration.…

High Energy Physics - Theory · Physics 2016-08-25 I. Klich

The Casimir energy density calculated for a spherical shell of radius equal to the size of the Universe projected back to the Planck time is almost equal to the present day critical density. Is it just a coincidence, or is it a solution to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. S. Unnikrishnan

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

We explore two hypotheses. First, the possibility that the quantum vacuum energy density of the Casimir effect contributes to a (local) gravitational vacuum energy density. Second, the possibility that a change in the gravitational coupling…

High Energy Physics - Theory · Physics 2023-11-14 Benjamin Koch , Christian Käding , Mario Pitschmann , René Sedmik

In previous works Suppes and de Barros used a pure particle model to derive interference effects, where individual photons have well-defined trajectories, and hence no wave properties. In the present paper we extend that description to…

Quantum Physics · Physics 2009-10-28 Patrick Suppes , Adonai S. Sant'Anna , J. Acacio de Barros

The Casimir effect in a dispersive and absorbing multilayered system is considered adopting the (net) vacuum-field pressure point of view to the Casimir force. Using the properties of the macroscopic field operators appropriate for…

Quantum Physics · Physics 2009-11-07 M. S. Tomas

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

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

We consider the vacuum energy for a scalar field subject to a frequency dependent boundary condition. The effect of a frequency cut-off is described in terms of an {\it incomplete} $\zeta$-function. The use of the Debye asymptotic expansion…

High Energy Physics - Theory · Physics 2016-08-15 H. Falomir , K. Rébora , M. Loewe

The Casimir effect is investigated in light-cone quantization. It is shown that for spacelike separation of the walls enclosing the system the standard result for the pressure exerted on the walls is obtained. For walls separated in…

High Energy Physics - Theory · Physics 2009-11-07 F. Lenz , D. Steinbacher

A simple method is proposed to construct the spectral zeta functions required for calculating the electromagnetic vacuum energy with boundary conditions given on a sphere or on an infinite cylinder. When calculating the Casimir energy in…

High Energy Physics - Theory · Physics 2008-11-26 G. Lambiase , V. V. Nesterenko , M. Bordag

The so called Casimir energy embodies the O($(N_c)^0$) contribution to the skyrmion mass according to the semi-classical expansion theory of solitons. We claim that this contribution can be accurately estimated despite the fact that some of…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Moussallam

We investigate the influence of a dark photon on the Casimir effect and calculate the corresponding leading contribution to the Casimir energy. For expected magnitudes of the photon - dark photon mixing parameter, the influence turns out to…

High Energy Physics - Phenomenology · Physics 2022-02-23 Abdaljalel Alizzi , Z. K. Silagadze

After briefly reviewing how the (proper-time) Schwinger's formula works for computing the Casimir energy in the case of "scalar electrodynamics" where the boundary conditions are dictated by two perfectly conducting parallel plates with…

High Energy Physics - Theory · Physics 2015-06-26 M. V. Cougo-Pinto , C. Farina , Antonio J. Segui-Santonja

We develop here a mechanism that, without making use of a cosmological constant, reproduces an accelerating universe. This is done by taking into account Casimir vacuum energy density, assuming that the underlying theory allows a maximum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Briscese , A. Marciano

It is well known that the Casimir effect is an excellent candidate for the stabilization of the extra dimensions. It has also been suggested that the Casimir effect in higher dimensions may be the underlying phenomenon that is responsible…

General Relativity and Quantum Cosmology · Physics 2009-07-01 R. K. Obousy , A. A. Saharian

Two thin conducting, electrically neutral, parallel plates forming an isolated system in vacuum exert attracting force on each other, whose origin is the quantum electrodynamical interaction. This theoretical hypothesis, known as Casimir…

High Energy Physics - Theory · Physics 2007-05-23 Andrzej Herdegen

We extend Schwinger's ideas regarding sonoluminescence by explicitly calculating the Bogolubov coefficients relating the QED vacuum states associated with changes in a dielectric bubble. Sudden (non-adiabatic) changes in the refractive…

Quantum Physics · Physics 2009-10-31 Matt Visser , S. Liberati , F. Belgiorno , D. W. Sciama

The electromagnetic vacuum is known to have energy. It has been recently argued that the quantum vacuum can possess momentum, that adds up to the momentum of matter. This ``Casimir momentum'' is closely related to the Casimir effect, in…

Quantum Physics · Physics 2015-05-14 Sebastien Kawka , Bart Van Tiggelen

The vacuum fluctuations give rise to a number of phenomena; however, the the Casimir Effect is arguably the most salient manifestation of the quantum vacuum. In its most basic form it is realized through the interaction of a pair of neutral…

General Physics · Physics 2011-08-31 Richard Obousy

We contest the recent claim by C. Eberlein (Physical Review Letters 76 (1996) 3842) that sonoluminescence may be explained in terms of quantum vacuum radiation. Due to fundamental physical limitations on bubble surface velocity, the…

Quantum Physics · Physics 2008-11-26 Astrid Lambrecht , Marc-Thierry Jaekel , Serge Reynaud