A&E Trounev IT Consulting, Toronto, Canada
Author list of organization
List of articles written by the authors of the organization
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01.00.00 Physical-mathematical sciences
Description
The question of construction of electrodynamics in the framework of the metric theory of gravitation is discussed. It is shown that the energy-momentum tensor of the electromagnetic field creates a space in which Faraday's law of induction is true. In such a space the scalar curvature vanishes identically, although space contains matter in the form of an electromagnetic field. It is proposed to call such space Faraday's magnetic universe as historically Faraday first established experimentally that "empty space is a magnet." We consider the metric of the expanding universe and metrics that describe the local gravitational field in the Newtonian theory. It was established that the field equations in spaces containing matter only in the form of an electromagnetic field in these metrics are reduced to hyperbolic equations describing the propagation of waves at the speed of light. However, in the field containing matter, the field equations are the equations of parabolic type, which describe diffusion or probability waves of Schrödinger quantum theory type. It is assumed that the potentials of the two metrics are connected, as with the potentials of the electromagnetic field, and the potentials of the Yang-Mills theory. Hence, the total output for all interactions law establishing the primacy of the gravitational field as the fundamental interaction, generating other interactions
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LOGARITHMIC LAW AND EMERGENCE PARAMETER OF CLASSICAL AND QUANTUM SYSTEMS
01.00.00 Physical-mathematical sciences
Description
The work discusses various examples of physical systems which state is determined by the logarithmic law - quantum and classical statistical systems and relativistic motion in multidimensional spaces. It was established that the Fermi-Dirac statistics and BoseEinstein-Maxwell-Boltzmann distribution could be described by a single equation, which follows from Einstein's equations for systems with central symmetry. We have built the rate of emergence of classical and quantum systems. The interrelation between statistical and dynamic parameters in supergravity theory in spaces of arbitrary dimension was established. It is shown that the description of the motion of a large number of particles can be reduced to the problem of motion on a hypersphere. Radial motion in this model is reduced to the known distributions of quantum and classical statistics. The model of angular movement is reduced to a system of nonlinear equations describing the interaction of a test particle with sources logarithmic type. The HamiltonJacobi equation was integrated under the most general assumptions in the case of centrally-symmetric metric. The dependence of actions on the system parameters and metrics was found out. It is shown that in the case of fermions the action reaches extremum in fourdimensional space. In the case of bosons there is a local extremum of action in spaces of any dimension
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LOGARITHMIC LAW FOR DYNAMICAL SYSTEMS FROM QUARKS TO GALAXIES
01.00.00 Physical-mathematical sciences
Description
The article discusses various examples of dynamical systems in which the motion is determined by the logarithmic law - quark systems, hydrodynamic systems, galaxies. Set the general nature of angular motion on a hypersphere in a space of arbitrary dimension and radial movement 6D in the metric of a logarithmic potential. We investigate the 6D metric describing the case of motion with two centers of symmetry. It is shown that in such a metric exists a class of exact solutions, logarithmically dependent on the gravity center coordinates. It was established that in spiral galaxies the orbital motion is due to the logarithmic potential, which is the exact solution of the field equations of Einstein's theory of gravity. The most well-known and widespread in nature case is turbulent flow over a smooth or rough surface, in which the mean velocity depends logarithmically on the distance from the wall. We derivate the logarithmic velocity profile in turbulent flow from the NavierStokes equations. An analogy of the logarithmic velocity profile and the logarithmic law in the case of erosion of materials under impacts been proposed. In electrodynamics, Ampere's law, which describes the interaction of current-carrying conductors, is a consequence of the logarithmic dependence of the vector potential of the distance from the conductor axis. There is, however, an alternative derivation of Ampere law of the Riemann hypothesis about the currents due to the motion of charges
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EMERGENCE PARAMETER OF CLASSICAL AND QUANTUM STATISTICAL SYSTEMS
01.00.00 Physical-mathematical sciences
Description
In this article we give a generalization of Hartley's model for the measure of information. We propose a rate of emergence, which is applicable to systems obeying classical or quantum statistics. Quantum sys-tems that obey Fermi-Dirac statistics and Bose-Einstein condensate, as well as classical systems obey-ing the Maxwell-Boltzmann statistics have been con-sidered. We found that the emergence parameter of quantum and classical systems differ as well as the emergence parameter of quantum systems of fermions and bosons. Consequently, the emergence parameter might be used to distinguish the classical system and quantum system, as well as quantum system of fermions and the quantum system of bosons
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COSMOLOGY OF INHOMOGENEOUS ROTATING UNIVERSE AND REALITY SHOW
01.00.00 Physical-mathematical sciences
Description
On the basis of the solutions of Einstein we have proposed universal metric describing the properties of an inhomogeneous rotating universe. It is shown that in the case of space-time metric of negative curvature, the field equations are hyperbolic, parabolic or elliptic type, depending on the equation of state. An equation for the general state of the species, describing the emergence of matter, as the aggregate state of dark energy proposed
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Description
We study the correlation between the stock index S & P 500 with the parameters of seismic activity, the position of celestial bodies and shifts the geographic and magnetic poles
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01.00.00 Physical-mathematical sciences
Description
The article presents a project of the capacitor in the Yang-Mills theory. Model capacitor represents the equipotential surfaces separated by a space. To describe the mechanism of condensation chromodynamics field used numerical models developed based on an average of the Yang-Mills theory. In the present study, we used eight-scalar component model that in the linear case is divided into two groups containing three or five fields respectively. In contrast to classical electrodynamics, a static model of the Yang-Mills is not divided into independent equations because of the nonlinearity of the model itself. However, in the case of a linear theory separation is possible. It is shown that in this particular case, the Yang-Mills theory is reduced to Poisson theory, which describes the electrostatic and magnetostatic phenomena. In the present work it is shown that in a certain region of the parameters of the capacitor of the Yang-Mills theory on the functional properties of the charge accumulation and retention of the field is similar to the capacitor of the electrostatic field or a magnet in magnetostatics. This means that in nature there are two types of charges, which are sources of macroscopic Yang-Mills field, which are similar to the properties of electric and magnetic charges in the Poisson theory. It is shown that in Yang-Mills only one type of charge may be associated with the distribution density of the substance, while another type of charge depends on the charge distribution of the first type. This allows us to provide an explanation for the lack of symmetry between electric and magnetic charges
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QUANTUM ELECTRODYNAMICS OF PREONS, QUARKS AND LEPTONS
01.00.00 Physical-mathematical sciences
Description
In this article we consider the system of equations of electrodynamics of continuous media molecules consisting of preons, including quarks and electrons
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LORENTZ QUANTUM ELECTRODYNAMICS
01.00.00 Physical-mathematical sciences
Description
The question of extending the Lorentz electrodynamics to quantum theory is discussed. The system of equations of the Lorentz quantum electrodynamics was established
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QUANTUM GRAVITY AND YANG-MILLS THEORY
01.00.00 Physical-mathematical sciences
Description
In this paper, we consider Einstein's theory of gravitation in connection with Yang-Mills theory. The model of the metric satisfying the basic requirements of quantum theory is proposed. The mechanism of generation of baryonic matter of dark energy is discussed
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