Quantum vacuum energy in a closed universe

1976 ◽  
Vol 14 (12) ◽  
pp. 3304-3313 ◽  
Author(s):  
L. H. Ford
Keyword(s):  
Vacuum Energy ◽  
Closed Universe ◽  
Quantum Vacuum

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.

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 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.

scholarly journals Space-Time Curvature Of General Relativity And Energy Density Of A Three-Dimensional Quantum Vacuu

2015 ◽  
Vol 69 (1) ◽  
Author(s):  
Davide Fiscaletti ◽  
Amrit Sorli
Keyword(s):  
General Relativity ◽  
Energy Density ◽  
Vacuum Energy ◽  
Three Dimensional ◽  
Space Time ◽  
Vacuum Energy Density ◽  
Quantum Vacuum ◽  
Vacuum Condensate ◽  
Interesting Solution ◽  
Variable Energy

AbstractA three-dimensional quantum vacuum condensate is introduced as a fundamental medium from which gravity emerges in a geometro-hydrodynamic limit. In this approach, the curvature of space-time characteristic of general relativity is obtained as a mathematical value of a more fundamental actual variable energy density of quantum vacuum which has a concrete physical meaning. The fluctuations of the quantum vacuum energy density suggest an interesting solution for the dark energy problem.

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

scholarly journals Quantum vacuum energy in graphs and billiards

2010 ◽  
Author(s):  
L. Kaplan ◽  
Kurt B. Wolf ◽  
Luis Benet ◽  
Juan Mauricio Torres ◽  
Peter O. Hess
Keyword(s):  
Vacuum Energy ◽  
Quantum Vacuum

scholarly journals Is the Free Vacuum Energy Infinite?

2015 ◽  
Vol 2015 ◽  
pp. 1-3 ◽  
Author(s):  
H. Razmi ◽  
S. M. Shirazi
Keyword(s):  
Energy Density ◽  
Free Space ◽  
Vacuum Energy ◽  
Casimir Effect ◽  
Fourth Power ◽  
Vacuum Energy Density ◽  
Uncertainty Relations ◽  
Quantum Vacuum ◽  
Cosmological Constant Problem ◽  
Virtual Particles

Considering the fundamental cutoff applied by the uncertainty relations’ limit on virtual particles’ frequency in the quantum vacuum, it is shown that the vacuum energy density is proportional to the inverse of the fourth power of the dimensional distance of the space under consideration and thus the corresponding vacuum energy automatically regularized to zero value for an infinitely large free space. This can be used in regularizing a number of unwanted infinities that happen in the Casimir effect, the cosmological constant problem, and so on without using already known mathematical (not so reasonable) techniques and tricks.

Sign in / Sign up

Export Citation Format

Share Document