Scientific Journal of KubSAU

Polythematic online scientific journal
of Kuban State Agrarian University
ISSN 1990-4665
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Name

Trunev Aleksandr Petrovich

Scholastic degree


Academic rank

—

Honorary rank

—

Organization, job position

A&E Trounev IT Consulting, Toronto, Canada
   

Web site url

—

Email

trounev@rogers.com


Articles count: 125

540 kb

RESTRICTED MANY-BODY PROBLEM IN THE RICCI FLOWS IN GENERAL RELATIVITY

abstract 1221608070 issue 122 pp. 1007 – 1032 31.10.2016 ru 435
In this article, the restricted problem of three and more bodies in the Ricci flow in the general theory of relativity considered. A system of non-linear parabolic equations describing the evolution of the axially symmetric metrics in the Ricci flow proposed. A model describing the motion of particles in the Ricci flow derived. It is shown that the theory describing the Ricci flow in the many-body problem is consistent with the Einstein-Infeld theory, which describes the dynamics of the material particles provided by the singularities of the gravitational field. As an example, consider the metric having axial symmetry and contains two singularities simulating particles of finite mass. It is shown that the static metric with two singularities corresponds to Newton's theory of the two centers of gravity, moving around the center of mass in circular orbits in a noninertial frame of reference, rotating with a period of bodies. We consider the statement of the problem of many bodies distributed at the initial time on the axis of symmetry of the system. In numerical calculations, we studied the properties of the gravitational potential in the problem of establishing a static condition in which multiple singularities retain the initial position on the axis of the system. This is achieved due to relativistic effects, which have no analogues in Newton's theory of gravitation. Using the properties of relativistic potentials we have justified transition from the relativistic motion of the particles to the dynamic equations in the classic theory
319 kb

RESEARCH OF THE INTEGRATED INFORMATION VARIABILITY MODEL OF THE SUBJECTS REACTION ON THE POSITION OF CELESTIAL BODIES OF SOLAR SYSTEM AT THE MOMENT OF BIRTH

abstract 0450901009 issue 45 pp. 101 – 116 30.01.2009 ru 3298
In the article the results of investigating the information properties of the celestial bodies of the solar system and its influence on the social choice of subjects are described. The reaction of each subject to the position of the celestial bodies of the solar system at the moment of birth was recorded and was processed for this. Each subject reacted via selection of one or several of 37 social categories, which composes totally 86314 cases. By applying artificial intelligence and statistical processing technologies discovered, that the parameter of the dispersion of the information of the signs of celestial bodies depends on the distance to the celestial bodies. The basic laws that describe the reaction of the group of subjects on the effects of gravitational fields of celestial bodies.
274 kb

REPRESENTATION OF THE SOLUTIONS OF THE NAVIER-STOKES IN GENERAL RELATIVITY

abstract 0981404111 issue 98 pp. 1582 – 1603 30.04.2014 ru 2004
In this paper, we investigated solutions of the Navier-Stokes equations associated with the solutions of Einstein's equations for empty space. There exists a metric in which the Navier-Stokes equations are integrated exactly. We demonstrate that the solution of the Navier-Stokes equations of general form consistent metrics describing in general relativity space with nonzero curvature
450 kb

QUARK DYNAMICS IN ATOMIC NUCLEI AND QUARK SHELLS

abstract 0861302048 issue 86 pp. 677 – 700 28.02.2013 ru 1900
In this article, we consider a system of Dirac equations describing the dynamics of quarks in the metric of the atomic nuclei. We found out, that the binding energy of the nucleons for all known nuclides depends on the content of the quarks. The resulting dependence of the energy of the nucleons shows a quark shells, similar electron shells
973 kb

QUARK DYNAMICS IN ATOMIC NUCLEI AND QUARK SHELLS

abstract 0861302059 issue 86 pp. 836 – 863 28.02.2013 ru 1618
In this paper we consider a system of Dirac equations describing the dynamics of quarks in the metric of the atomic nuclei. We found out, that the binding energy of the nucleons for all known nuclides depends on the content of the quarks. The resulting dependence of the energy of the nucleons shows a quark shells, similar to electron shells. Our basic assumption is that each nucleon in the nucleus loses its individuality by dissociation to individual quarks that form quark shells. These shells are filled sequentially, just as filled electron shells. Since the nucleons are composed of two types of quarks, there are two types of shells that are filled with u and d quarks, respectively. In this case, the binding energy per nucleon depends on the concentration of quarks in the shells and the energy of the interaction of quarks.
756 kb

QUANTUM GRAVITY AND YANG-MILLS THEORY

abstract 0951401070 issue 95 pp. 1203 – 1228 30.01.2014 ru 1067
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
377 kb

QUANTUM GRAVITY AND REALITY SHOW

abstract 0961402074 issue 96 pp. 1067 – 1094 28.02.2014 ru 1424
In this article, we consider quantum gravity in multidimensional space. The model of the metric satisfying the basic requirements of quantum theory is proposed. It is shown that gravitational waves are described by the Liouville equation, and matter waves associated with gravitational waves by a simple equation. The mechanism of generation of baryonic matter of dark energy is discussed
357 kb

QUANTUM ELECTRODYNAMICS OF PREONS, QUARKS AND LEPTONS

abstract 0891305048 issue 89 pp. 720 – 749 29.05.2013 ru 1369
In this article we consider the system of equations of electrodynamics of continuous media molecules consisting of preons, including quarks and electrons
880 kb

PROPAGATION AND BRANCHING OF STRAIMERS IN CONDUCTING ENVIRONMENT

abstract 1281704080 issue 128 pp. 1148 – 1169 28.04.2017 ru 597
In this work, we develop a model describing the propagation and branching of a streamer in a conducting medium in external electric field. To describe the contribution of the conductivity currents, we modified the standard electrostatic equation taking into account the vortex component of the electric field. As a result of this generalization, the streamer model is formulated in the form of nonlinear equations of parabolic type. In the framework of the proposed model, the problem of the propagation of a streamer in the form of a traveling wave is considered, which leads to the emergence of SaffmanTaylor streamers. For streamers of this type, the branching problem is formulated, which has a unique solution. The dependence of the branch point on the parameters of the problem-the speed of the streamer, the diffusion coefficient of the electrons and the strength of the external electric field, is found. The branching mechanism of the streamer head by dividing it into two parts has been well studied and several alternative models have been formulated for its description. The novelty of the problem in question is that the streamer splits into two three-dimensional channels that are symmetric with respect to the given plane. Numerical experiments also revealed the mechanism of branching of the streamer in the cathode region, connected with the separation of the main channel into several lateral branches. It is noted, that in nature both branching mechanisms are realized, whereas in theory the instability of the surface of the streamer head is investigated
218 kb

PREONS SHELLS AND ATOMIC STRUCTURE

abstract 0871303061 issue 87 pp. 788 – 806 30.03.2013 ru 1359
We consider the model of the structure of electrons and quarks, in which these particles are presented consisting of elementary particles preons. From this model, the theory of electron shells, as a continuation of the quark nuclear shells has been proposed
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