scholarly journals Quantum Relativity: Variable Energy Density of Quantum Vacuum as the Origin of Mass, Gravity and the Quantum Behaviour

2018 ◽  
Vol 63 (7) ◽  
pp. 623 ◽  
Author(s):  
D. Fiscaletti ◽  
A. Sorli
Keyword(s):  
General Relativity ◽  
Energy Density ◽  
Vacuum Energy ◽  
Three Dimensional ◽  
Physical Object ◽  
Vacuum Energy Density ◽  
Quantum Vacuum ◽  
Numerical Order ◽  
Quantum Relativity ◽  
Variable Energy

In Quantum Relativity, time and space are separated. Time is the numerical order of material changes, and space is the medium, in which these changes take place. Space has the origin in a three-dimensional quantum vacuum defined by fluctuations of the energy density corresponding to elementary RS (reduction state) processes of creation/annihilation of elementary quanta. Quantum Relativity provides a unifying approach to special relativity, general relativity, and quantum mechanics. Each physical object from the micro- to the macroscale can be derived from an opportune diminishing of the quantum vacuum energy density. In particular, the variable energy density of space in Quantum Relativity corresponds to the curvature of space in general relativity. In quantum theory, the behavior of each subatomic particle follows from opportune elementary RS processes of creation/annihilation of quanta guided by a quantum potential of the vacuum. Finally, the perspectives of this model regarding the view of gravity and quantum as two aspects of the same coin and the electroweak scale are analyzed.

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 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 Dynamic Quantum Vacuum and Relativity

2017 ◽  
Vol 71 ◽  
pp. 11 ◽  
Author(s):  
Davide Fiscaletti
Keyword(s):  
Energy Density ◽  
Three Dimensional ◽  
Vacuum Energy Density ◽  
Quantum Vacuum ◽  
Frame Dragging ◽  
Fundamental Symmetry ◽  
Gravity Probe ◽  
Gps System ◽  
The Universe ◽  
Variable Energy

<p>A model of a three-dimensional dynamic quantum vacuum with variable energy density is proposed. In this model, time we measure with clocks is only a mathematical parameter of changes running in quantum vacuum. Mass and gravity are carried by the variable energy density of quantum vacuum. Each elementary particle is a structure of quantum vacuum and diminishes the quantum vacuum energy density. Symmetry “particle – diminished energy density of quantum vacuum” is the fundamental symmetry of the universe which gives origin to the inertial and gravitational mass. Special relativity’s Sagnac effect in GPS system and important predictions of general relativity such as precessions of the planets, the Shapiro time delay of light signals in a gravitational field and the geodetic and frame-dragging effects recently tested by Gravity Probe B, have origin in the dynamics of the quantum vacuum which rotates with the earth.</p>

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 THE NATURE OF THE COSMOLOGICAL CONSTANT PROBLEM

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1545-1548 ◽  
Author(s):  
M. D. MAIA ◽  
A. J. S. CAPISTRANO ◽  
E. M. MONTE
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Energy Density ◽  
Cosmological Constant ◽  
Ground State ◽  
Vacuum Energy ◽  
Dimensional Space ◽  
Brane World ◽  
Vacuum Energy Density ◽  
Cosmological Constant Problem

General relativity postulates the Minkowski space-time as the standard (flat) geometry against which we compare all curved space-times and also as the gravitational ground state where particles, quantum fields and their vacua are defined. On the other hand, experimental evidences tell that there exists a non-zero cosmological constant, which implies in a deSitter ground state, which not compatible with the assumed Minkowski structure. Such inconsistency is an evidence of the missing standard of curvature in Riemann's geometry, which in general relativity manifests itself in the form of the cosmological constant problem. We show how the lack of a curvature standard in Riemann's geometry can be fixed by Nash's theorem on metric perturbations. The resulting higher dimensional gravitational theory is more general than general relativity, similar to brane-world gravity, but where the propagation of the gravitational field along the extra dimensions is a mathematical necessity, rather than a postulate. After a brief introduction to Nash's theorem, we show that the vacuum energy density must remain confined to four-dimensional space-times, but the cosmological constant resulting from the contracted Bianchi identity represents a gravitational term which is not confined. In this case, the comparison between the vacuum energy and the cosmological constant in general relativity does not make sense. Instead, the geometrical fix provided by Nash's theorem suggests that the vacuum energy density contributes to the perturbations of the gravitational field.

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.

On the cosmological constant problem and brane-world geometry

Open Physics ◽  
2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Abraão Capistrano ◽  
Pedro Odon
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Energy Density ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Extrinsic Curvature ◽  
Brane World ◽  
Vacuum Energy Density ◽  
Cosmological Constant Problem ◽  
Riemannian Geometries

AbstractThe cosmological constant problem is examined within the context of the covariant brane-world gravity, based on Nash’s embedding theorem for Riemannian geometries. We show that the vacuum structure of the brane-world is more complex than General Relativity’s because it involves extrinsic elements, in specific, the extrinsic curvature. In other words, the shape (or local curvature) of an object becomes a relative concept, instead of the “absolute shape” of General Relativity. We point out that the immediate consequence is that the cosmological constant and the energy density of the vacuum quantum fluctuations have different physical meanings: while the vacuum energy density remains confined to the four-dimensional brane-world, the cosmological constant is a property of the bulk’s gravitational field that leads to the conclusion that these quantities cannot be compared, as it is usually done in General Relativity. Instead, the vacuum energy density contributes to the extrinsic curvature, which in turn generates Nash’s perturbation of the gravitational field. On the other hand, the cosmological constant problem ceases to be in the brane-world geometry, reappearing only in the limit where the extrinsic curvature vanishes.

scholarly journals On the Evaluation of Vacuum Energy Density in Quantum Field Theory

2021 ◽  
Author(s):  
Ervin Goldfain
Keyword(s):  
Energy Density ◽  
Vacuum Energy ◽  
Textbook Analysis ◽  
Harmonic Oscillators ◽  
Vacuum Energy Density ◽  
Model Parameters ◽  
Quantum Field ◽  
Quantum Vacuum ◽  
Flat Spacetime ◽  
The Standard Model

The textbook analysis of vacuum energy density (VED) in flat spacetime follows from Pauli&rsquo;s lectures of 1951, in which quantum vacuum is modeled as a reservoir of free harmonic oscillators. In his lectures, Pauli shows that deriving a nearly vanishing VED is contingent upon fulfilling three corollary conditions called polynomial-in-mass-constraints. The goal of this work is to evaluate Pauli&rsquo;s constraints against the Standard Model parameters and the Higgs mechanism of spontaneous symmetry breaking.

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