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

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642 kb

GEOMETRIC TURBULENCE IN GENERAL RELATIVITY

abstract 1071503078 issue 107 pp. 1170 – 1215 31.03.2015 ru 662
The article presents the simulation results of the metric of elementary particles, atoms, stars and galaxies in the general theory of relativity and Yang-Mills theory. We have shown metrics and field equations describing the transition to turbulence. The problems of a unified field theory with the turbulent fluctuations of the metric are considered. A transition from the Einstein equations to the diffusion equation and the Schrödinger equation in quantum mechanics is shown. Ther are examples of metrics in which the field equations are reduced to a single equation, it changes type depending on the equation of state. These examples can be seen as a transition to the geometric turbulence. It is shown that the field equations in general relativity can be reduced to a hyperbolic, elliptic or parabolic type. The equation of parabolic type describing the perturbations of the gravitational field on the scale of stars, galaxies and clusters of galaxies, which is a generalization of the theory of gravitation Newton-Poisson in case of Riemannian geometry, taking into account the curvature of space-time has been derived. It was found that the geometric turbulence leads to an exchange between regions of different scale. Under turbulent exchange material formed of two types of clusters, having positive and negative energy density that corresponds to the classical and quantum particle motion respectively. These results allow us to answer the question about the origin of the quantum theory
425 kb

GRAVITATIONAL WAVES AND EMERGENCE PARAMETER OF CLASSICAL AND QUANTUM SYSTEMS

abstract 0971403092 issue 97 pp. 1342 – 1367 31.03.2014 ru 1621
It was established that the Fermi-Dirac statistics, Bose-Einstein and Maxwell-Boltzmann distribution can be described by a single equation, which follows from Einstein's equations for systems with central symmetry. Emergence parameter of classical and quantum systems composed by the rays of gravitational waves interacting with gravitational field of the universe has been computed
254 kb

GRAVITATIONAL WAVES AND QUANTUM THEORY

abstract 0961402078 issue 96 pp. 1151 – 1166 28.02.2014 ru 767
In this article we consider gravitation theory 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. Schrödinger conjecture about the Schrödinger wave function and gravitational waves has been proved
276 kb

GRAVITATIONAL WAVES AND SCHRODINGER QUANTUM THEORY

abstract 0961402081 issue 96 pp. 1194 – 1211 28.02.2014 ru 858
In this paper, we consider gravitation theory 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. Conjecture about the Schrödinger wave function due to gravitational waves was proved. Solutions of the gravitational field equations similar to the de Broglie waves have been constructed.
418 kb

GRAVITATIONAL WAVES AND STATIONARY STATES OF QUANTUM AND CLASSICAL SYSTEMS

abstract 0971403090 issue 97 pp. 1299 – 1322 31.03.2014 ru 825
In this paper, we consider gravitation theory 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 the Schrodinger equation as well. The solutions of the Einstein equations describing the stationary states of arbitrary quantum and classical systems with central symmetry have been obtained. Thus, it is proved that atoms and atomic nuclei can be represented as standing gravitational waves
567 kb

GRAVITATIONAL WAVES IN THE RICCI FLOW FROM SINGULARITIES MERGER

abstract 1211607121 issue 121 pp. 1907 – 1928 30.09.2016 ru 334
In this study, we investigate the problem of the emission of gravitational waves produced in collisions of particles submitted to the singularities of the gravitational field. A system of non-linear parabolic equations describing the evolution of the axially symmetric metrics in the Ricci flow derived. A model describing the emission of gravitational waves in the collision and merger of the particles in the Ricci flow proposed. It is shown that the theory of the Ricci flow describes the problem of black holes merge, consistent with Einstein-Infeld theory, which describes the dynamics of the material particles provided by the singularities of the gravitational field. As an example, we consider the metric having axial symmetry and comprising two singularities simulating particles of finite mass. We have numerically investigated the change of the metric in the collision and merger of the particles. The initial and boundary conditions using the exact solution of the static problem, so the collision persist particularly metrics caused by the presence of particles. In numerical experiments determined that the collision of the particles in the Ricci flow leads to the formation of gravitational waves, similar in structure to the waves, registered in the LIGO experiment. Consequently, we can assume that the observed gravity waves caused mainly by transients associated with the change in the metric of a system. The influence of the parameters of the problem - the speed and mass of the particles, on the amplitude and intensity of the emission of gravitational waves was numerically simulated. We have found chaotic behavior of gravitational potentials at the merger of the singularities in the Ricci flow
421 kb

GRAVITY FIELD IN THE VICINITY OF STARS AND GEOMETRIC TURBULENCE

abstract 0991405106 issue 99 pp. 1508 – 1529 30.05.2014 ru 698
In this article, the solutions of Einstein's equations for empty space, describing the gravitational field near the Sunlike star have been investigated. We have accounted the own field of the star, the motion of the star around the galactic center, the motion of the galaxy relative to the center of the local supercluster and the expansion of the Universe. The resulting gravitational field near the star has a complex structure, which leads to large-scale geometric turbulence linking large and small scales in this problem
271 kb

HADRONS MASS SPECTRUM AND THE GLUON THERMODYNAMICS

abstract 0911307104 issue 91 pp. 1548 – 1561 30.09.2013 ru 1051
It is shown, that the hadron mass spectrum can be associated with the energy of the excited states of gluon condensate. Gluon thermodynamics is built on the basis of this concept. The transition temperature of hadronic matter to the quark-gluon plasma calculated on the basis of this model is about 175,856 MeV, which is consistent with experimental data and calculations based on lattice quantum chromodynamics (LQCD)
472 kb

HADRONS METRICS SIMULATION ON THE YANG-MILLS EQUATIONS

abstract 0841210068 issue 84 pp. 865 – 879 28.12.2012 ru 708
In this article we consider the Yang-Mills theory in connection with the Einstein and Maxwell equations. The model of a metric satisfying the basic requirements of particle physics and cosmology is proposed. Firstly we consider the example of a purely temporary solution of the Yang-Mills equations in the space of torsion-free and the basic equations of the model of the cosmological scale. Some exact solutions and numerical model in a case, when density of baryonic matter and electromagnetic energy density remains constant over time been investigated. We obtained the solution combines the properties of Einstein's model, and Friedman’s model as well, describes the universe as a time-dependent metric, and with a constant density distribution of baryonic matter and electromagnetic field. Secondly, the model of the proton scale proposed. We proved that the metric of the observable universe is associated with a metric of the periodic lattice, given by the Weierstrass function. We find that there may be a spherical particle, which expand in sync with the space of the universe. Therefore, from the point of view of the outside observer they seem having static form like protons.
288 kb

INCREASE OF ADEQUACY OF SPECTRAL PERSONAL ANALYSIS BY ASTROSOCIOTYPES BY MEANS OF THEIR SEPARATION ON TYPICAL AND ATYPICAL PARTS

abstract 0360802010 issue 36 pp. 153 – 174 29.02.2008 ru 3281
Results of computational experiments on increasing of semantic information models adequacy with different sets of astrosigns by means of separation of generalized social categories (astrosociotypes) on typical and atypical parts are casted in the article.
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