name
Trunev Aleksandr Petrovich
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•
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• A&E Trounev IT Consulting, Toronto, Canada
директор
Research interests
Математическое моделирование социальноэкономических и природных процессов
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Articles count: 125
Сформировать список работ, опубликованных в Научном журнале КубГАУ

DYNAMICS OF QUARKS IN THE HADRONS METRICS WITH APPLICATION TO THE BARYON STRUCTURE
01.00.00 Physicalmathematical sciences
DescriptionThe dynamics of quarks in hadrons metric is investigated. A model of baryons in the case of a stationary metric formulated. The magnetic moments of the proton, neutron and lambda baryon calculated. The metric of hadrons is determined from the YangMills theory. The result is a bubble metric containing only the time and angular coordinates. We find that there may be a spherical particle, which expand in sync with the space of the universe. Therefore, they appear to the outside observer static entities having spherical symmetry, such as protons. We have shown that the quarks in the hadrons metric can be described on the basis of the Dirac equation and the equations of quantum electrodynamics. The closure model formulated and the magnetic moments of hadrons (uud), (udd) and (sdu) at given energy and given electric charge are calculated. The investigated region corresponds to the resonance energy of the quarks system, in which, apparently, pi mesons can be generated.

DYNAMICS OF QUARKS IN THE BARYON METRIC AND THE STRUCTURE OF NUCLEI
01.00.00 Physicalmathematical sciences
DescriptionIn this paper we consider a system of Dirac equations describing the dynamics of quarks in hadrons metric. The magnetic moment and the energy of the nucleons in the case of deuterium nuclei calculated.

PREONS DYNAMICS AND STRUCTURE OF QUARKS AND LEPTONS
01.00.00 Physicalmathematical sciences
DescriptionWe consider the model of the structure of matter, in which elementary particles, atoms and molecules are presented as consisting of preons particles

DYNAMICS OF RELATIVISTIC PARTICLES IN THE GALAXY METRIC
01.00.00 Physicalmathematical sciences
DescriptionIn this study we investigate the dynamics of relativistic particles in the axially symmetric metrics. We have built metric having axial symmetry and contains two centers of gravity and a logarithmic singularity. The application received metrics to the movement of particles in galaxies is described. It is established that there are stable orbit in the metric with two centers of gravity, the particle velocity at which reaches the value v/ c ≈ 7.0 . Orbit radius varies widely, but remains substantially flat orbit. Unstable same movements are completed so that the particles leave the system. The hypothesis that this kind of relativistic objects can serve as sources of the magnetic fields of the planets, stars and galaxies has been proposed. The question of the realization in the galaxy metric of Einstein's hypothetical elevator in which there is a uniform gravitational field, simulating the accelerated movement of the elevator is described. A homogeneous gravitational field in a limited region of space was numerical simulated. It has been shown that this kind of accelerated objects generate relativistic effect in the form of a log potential, not diminishing with distance from the center of the system. It is assumed that such capabilities can be associated with the Higgs field responsible for the occurrence of the inertial mass of the elementary particles

DYNAMICS OF RELATIVISTIC PARTICLES IN THE RING AND SPIRAL GALAXY METRIC
01.00.00 Physicalmathematical sciences
DescriptionIn this work, we examine the dynamics of relativistic particles in the ring or spiral galaxy metric in general relativity. On the basis of the solution of Einstein's equations we have derived metric having axial symmetry, comprising N centers of gravity and a logarithmic singularity. The application received metrics to describe the motion of particles in a spiral and ring galaxy. On the basis of Einstein's equations solutions for vacuum we are explained rotation of matter in spiral galaxies. An expression for gravitation potential in the inner region of spiral galaxies in agreement with experimental data on the rotation of the CO and hydrogen is described. It is established that in the metric with N centers of gravity which are distributed on the circumference, exist as a local motion near the center of gravity, and motion around N gravity center as well. The transition from one mode of motion to another is determined by the initial distance to the circle on which the distributed centers of gravity. A system of nonlinear parabolic equations describing the evolution of the metric in the Ricci flow proposed. The boundary problem for the gravitational potentials in the Ricci flow was formulated. There are applications of the theory to describe a spiral and ring galaxy

PARTICLE DYNAMICS IN METRICS WITH LOGARITHMIC POTENTIAL
01.00.00 Physicalmathematical sciences
DescriptionParticle dynamics in metrics with logarithmic potential The work considers the problem of modeling the motion of particles in a unified field theory to 6D, in theory, supergravity in the 112D and metric galaxies. We have investigated a centrally symmetric metric in the 112dimensional Riemannian space, which depends on the radial coordinate, time, and 110 angles. We present a system of equations describing the angular movement on a hypersphere of any dimension N. It is shown that the motion on the hypersphere depends on the 2 (N1) of singular points. We have installed general nature of relativistic motion on a hypersphere when it is displayed on the plane and in threedimensional space. It is shown that the motion determined by the reflection from the singular points that of motion on the plane in some cases leads to thickening of the trajectories in the neighborhood of sides of the rectangle. The 6D investigated 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 centers of origin. It is found that in this system there is a motion with condensation paths around the sides of the rectangle, due to scattering of test particles gravity sources. We set the general nature of angular motion on a hypersphere and radial movements in 6D in the metric of a logarithmic potential. It is proved that similar solutions with logarithmic potential exist in galaxies metric in the metric of Einstein's theory of gravity. The article also describes the connection of the solutions to the nonlinear electrodynamics, and with a theory of quark interactions and YangMills theory

DYNAMICAL MODEL OF ELECTROMAGNETIC DRIVE
01.00.00 Physicalmathematical sciences
DescriptionThe article discusses the dynamic model of the rocket motor electromagnetic type, consisting of a source of electromagnetic waves of radio frequency band and a conical cavity in which electromagnetic waves are excited. The processes of excitation of electromagnetic oscillations in a cavity with conducting walls, as well as the waves of the YangMills field have been investigated. Multidimensional transient numerical model describing the processes of establishment of electromagnetic oscillations in a cavity with the conducting wall was created Separately, the case of standing waves in the cavity with conducting walls been tested. It is shown that the oscillation mode in the conducting resonator different from that in an ideal resonator, both in the steady and unsteady processes. The mechanism of formation of traction for the changes in the spacetime metric, the contribution of particle currents, the YangMills and electromagnetic field proposed. It is shown that the effect of the YangMills field calls change the dielectric properties of vacuum, which leads to a change in capacitance of the resonator. Developed a dynamic model, which enables optimal traction on a significant number of parameters. It was found that the thrust increases in the YangMills field parameters near the main resonance frequency. In the presence of thermal fluctuations and the YangMills field as well the traction force changes sign, indicating the presence of various oscillation modes

THE UNIFIED FIELD THEORY AND SUPERGRAVITY IN 112D
01.00.00 Physicalmathematical sciences
DescriptionIn the paper the problem of constructing a unified field theory based on the theory of supergravity in the 112D is discussed. It is assumed that in the 112dimensional Riemann space there are 37 threedimensional worlds coexist having a single time and associated gravity. Investigated centrally symmetric metric depends on the radial coordinate in the observable physical space of one of the worlds. It is assumed that in the 112D performed the wave equation of the general form, describing the dynamics of the scalar field. From this equation, the wave equation is displayed in the fourdimensional spacetime, containing terms describing the contribution of extra dimensions. It is shown that the quantum numbers of the problem allow us to describe the structure of the atom and the atomic nucleus on the assumption that given the total mass of the central body. The problem on the dynamics of the scalar field in the 112D in a centrally symmetric metric has been described. Built of field quantization theory in general, and in the particular case of metrics depending on the Weierstrass elliptic functions. It is shown that in this case there are bounded periodic potentials and corresponding periodic solutions that depend on the energy and angular momentum projection, and on the invariants of the Weierstrass function. It is found that in an excited state with a sufficiently large magnitude of the angular momentum of the projection portion of the radial wave function is periodic in a limited range, while the ground state allowed waves on all axes of the radial coordinate. The connection of the solutions to the YangMills theories discussed

MANYBODY PROBLEM IN THE METRIC OF CIRCULAR DISTRIBUTED SOURSES
01.00.00 Physicalmathematical sciences
DescriptionIn this article we consider the manybody problem in general relativity in the case of the distribution of N singularities on the circle. It specifies the exact solution of the problem for an arbitrary distribution of singularities. It is shown that the static metric of N singularities corresponds to Newton's theory of N centers of gravity, moving around the central body in a circular orbit in a noninertial frame of reference, rotating with a period of bodies revolving. We consider the statement of the problem of many bodies distributed at the initial time on the circle. 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 circle. This is achieved due to relativistic effects, which have no analogues in Newton's theory of gravitation. Using the properties of relativistic potentials justified transition from the relativistic motion of the particles to the dynamic equations in the classical theory. A system of nonlinear parabolic equations describing the evolution of the metric in the Ricci flow proposed. The problem of the calculation of the potentials in the Ricci flow formulated. The application of the theory to describe the ring galaxy, planetary rings and the asteroid belt considered

BAER’S LAW AND EINSTEIN’S VORTEX HYPOTHESES
01.00.00 Physicalmathematical sciences
DescriptionWe consider numerical solutions of the NavierStokes equations describing laminar and turbulent flows in channels of various geometries and in the cavity at large Reynolds numbers. An original numerical algorithm for integrating a system of nonlinear partial differential equations is developed, based on the convergence of the sequence of solutions of the Dirichlet problem. Based on this algorithm, a numerical model is created for the fusion of two laminar flows in a Tshaped channel. A new mechanism of meandering is established, which consists in the fact that when the two streams merge, a jet is formed containing the zones of return flow. Vortex motion in a rectangular cavity is studied. It is established that the numerical solution of the problem with discontinuous boundary conditions loses stability at Reynolds number Re> 2340. The trajectories of passive impurity particles in a cylindrical cavity are investigated. An explanation of the behavior of tea leaves in a cup of tea in the formation of a toroidal vortex because of circular stirring is confirmed, which is confirms the wellknown hypothesis of Einstein. A numerical model of flow in an open channel with a bottom incline in a rotating system is developed. It is shown that in both laminar and turbulent flow under certain conditions a secondary vortex flow arises in the channel due to the Coriolis force, which explains the wellknown Baer law and confirms the Einstein hypothesis