scholarly journals How does Casimir energy fall? IV. Gravitational interaction of regularized quantum vacuum energy

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
K. A. Milton ◽  
K. V. Shajesh ◽  
S. A. Fulling ◽  
Prachi Parashar
Keyword(s):  
Vacuum Energy ◽  
Gravitational Interaction ◽  
Casimir Energy ◽  
Quantum Vacuum

scholarly journals How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy

2007 ◽  
Vol 40 (35) ◽  
pp. 10935-10943 ◽  
Author(s):  
Kimball A Milton ◽  
Prachi Parashar ◽  
K V Shajesh ◽  
Jef Wagner
Keyword(s):  
Vacuum Energy ◽  
Casimir Energy ◽  
Gravitational Acceleration ◽  
Quantum Vacuum

ON SOME PROPERTIES OF THE VACUUM ENERGY OF THE UNIVERSE

2006 ◽  
Vol 21 (37) ◽  
pp. 2827-2831
Author(s):  
A. BHATTACHARYA ◽  
S. N. BANERJEE ◽  
B. CHAKRABARTI ◽  
S. BANERJEE ◽  
S. MANI
Keyword(s):  
Equation Of State ◽  
Ground State ◽  
Vacuum Energy ◽  
State Energy ◽  
Casimir Energy ◽  
Vacuum Field ◽  
Energy Calculation ◽  
Quantum Vacuum ◽  
Regularization Scheme ◽  
The Universe

The contribution of the cosmological constant to the ground state energy of the quantum vacuum field has been investigated in the framework of the Casimir energy calculation. A regularization scheme is suggested. The equation of state and the nature of the corresponding medium has been studied with some interesting observations.

scholarly journals Revisiting the Casimir energy with general boundary conditions and applications in 1D crystals

2020 ◽  
Vol 35 (03) ◽  
pp. 2040018 ◽  
Author(s):  
J. M. Muñoz-Castañeda ◽  
M. Bordag ◽  
L. Santamaría-Sanz
Keyword(s):  
Boundary Conditions ◽  
Vacuum Energy ◽  
Periodic Potential ◽  
Scalar Fields ◽  
Casimir Energy ◽  
Quantum Vacuum ◽  
General Boundary Conditions ◽  
One Dimensional ◽  
Infinite Array ◽  
Dimensional Crystal

We obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory. This result enables to provide the quantum vacuum energy for scalar fields propagating under the influence of a one-dimensional crystal represented by a periodic potential formed by an infinite array of identical potentials with compact support.

scholarly journals Thermal Casimir effect with general boundary conditions

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
J. M. Muñoz-Castañeda ◽  
L. Santamaría-Sanz ◽  
M. Donaire ◽  
M. Tello-Fraile
Keyword(s):  
Boundary Conditions ◽  
Vacuum Energy ◽  
Casimir Effect ◽  
Quantum Field ◽  
Quantum Vacuum ◽  
Parallel Plates ◽  
Casimir Forces ◽  
Thermal Correction ◽  
Frequency Independent ◽  
Scalar Quantum

Abstract In this paper we study the system of a scalar quantum field confined between two plane, isotropic, and homogeneous parallel plates at thermal equilibrium. We represent the plates by the most general lossless and frequency-independent boundary conditions that satisfy the conditions of isotropy and homogeneity and are compatible with the unitarity of the quantum field theory. Under these conditions we compute the thermal correction to the quantum vacuum energy as a function of the temperature and the parameters encoding the boundary condition. The latter enables us to obtain similar results for the pressure between plates and the quantum thermal correction to the entropy. We find out that our system is thermodynamically stable for any boundary conditions, and we identify a critical temperature below which certain boundary conditions yield attractive, repulsive, and null Casimir forces.

scholarly journals Brownian motion and polarized three-dimensional quantum vacuum

2021 ◽  
Vol 67 (4 Jul-Aug) ◽  
Author(s):  
Davide Fiscaletti
Keyword(s):  
Dark Matter ◽  
Brownian Motion ◽  
Energy Density ◽  
Nonlinear Model ◽  
Vacuum Energy ◽  
Three Dimensional ◽  
Vacuum Energy Density ◽  
Quantum Vacuum ◽  
Virtual Particles ◽  
Fundamental Entity

A nonlinear model of Brownian motion is developed in a three-dimensional quantum vacuum defined by a variable quantum vacuum energy density corresponding to processes of creation/annihilation of virtual particles. In this model, the polarization of the quantum vacuum determined by a perturbative fluctuation of the quantum vacuum energy density associated with a fluctuating viscosity, which mimics the action of dark matter, emerges as the fundamental entity which generates the Brownian motion.

scholarly journals A NOTE ON THE CASIMIR ENERGY OF A MASSIVE SCALAR FIELD IN POSITIVE CURVATURE SPACE

2004 ◽  
Vol 19 (02) ◽  
pp. 111-116 ◽  
Author(s):  
E. ELIZALDE ◽  
A. C. TORT
Keyword(s):  
High Temperature ◽  
Scalar Field ◽  
Zeta Function ◽  
Vacuum Energy ◽  
Positive Curvature ◽  
Zero Point ◽  
Casimir Energy ◽  
Massive Scalar ◽  
Zero Temperature ◽  
Massive Scalar Field

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in R1×S3 space, allowing also for deviations from the standard conformal value ξ=1/6, by means of zero temperature zeta function techniques. We show that for the problem at hand this approach is equivalent to the high temperature regularization of the vacuum energy, as conjectured in a previous publication. The analytic continuation can be performed in two ways, which are seen to be equivalent.

Quantum vacuum energy and the masslessness of the photon

1981 ◽  
Vol 98 (4) ◽  
pp. 274-276 ◽  
Author(s):  
P.C.W. Davies ◽  
S.D. Unwin
Keyword(s):  
Vacuum Energy ◽  
Quantum Vacuum

scholarly journals COSMOLOGICAL CONSTANT PROBING SHAPE MODULI THROUGH LARGE EXTRA DIMENSIONS

2006 ◽  
Vol 21 (15) ◽  
pp. 3095-3109 ◽  
Author(s):  
SATOSHI MATSUDA ◽  
SHIGENORI SEKI
Keyword(s):  
Cosmological Constant ◽  
Extra Dimensions ◽  
Vacuum Energy ◽  
Large Extra Dimensions ◽  
Casimir Energy ◽  
Wilkinson Microwave Anisotropy Probe ◽  
Extra Space ◽  
Kaluza Klein

We consider a compactification of extra dimensions and numerically calculate Casimir energy which is provided by the mass of Kaluza–Klein modes. For the extra space we consider a torus with shape moduli and show that the corresponding vacuum energy is represented as a function of the moduli parameter of the extra dimensions. By assuming that the Casimir energy may be identified with cosmological constant, we evaluate the size of extra dimensions in terms of the recent data given by the Wilkinson Microwave Anisotropy Probe (WMAP) measurement and the supernovae observations. We suggest that the observed cosmological constant may probe the shape moduli of the extra space by the study of the Casimir energy of the compactified extra dimensions.

scholarly journals Quantum Vacuum Energy and the Emergence of Gravity An Essay

2018 ◽  
Vol 10 (2) ◽  
pp. 1
Author(s):  
Philip J. Tattersall
Keyword(s):  
Gravitational Field ◽  
Vacuum Energy ◽  
Free Fall ◽  
Energy Coupling ◽  
Quantum Vacuum ◽  
Free Fall Acceleration ◽  
Energy Gradient

Building on the work of others a novel idea is put forward regarding the possible mechanism of gravity as involving energy coupling down the energy gradient of a massive body. Free fall (acceleration) in a gravitational field is explained as arising from an interaction of the modified quantum vacuum energy in the vicinity of matter.

scholarly journals A Covariant Canonical Quantization of General Relativity

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Stuart Marongwe
Keyword(s):  
General Relativity ◽  
Vacuum Energy ◽  
Evolution Operator ◽  
Canonical Quantization ◽  
Hamiltonian Formulation ◽  
Vacuum Energy Density ◽  
Quantum Vacuum ◽  
Metric Tensor ◽  
Hamiltonian Density ◽  
Time Evolution Operator

A Hamiltonian formulation of General Relativity within the context of the Nexus Paradigm of quantum gravity is presented. We show that the Ricci flow in a compact matter free manifold serves as the Hamiltonian density of the vacuum as well as a time evolution operator for the vacuum energy density. The metric tensor of GR is expressed in terms of the Bloch energy eigenstate functions of the quantum vacuum allowing an interpretation of GR in terms of the fundamental concepts of quantum mechanics.

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