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

01.00.00 Physicalmathematical sciences
DescriptionMetric describing the accelerated and rotating reference system in general relativity in the case of an arbitrary dependence of acceleration and angular velocity on time has been proposed. It is established that the curvature tensor in such metrics is zero, which corresponds to movement in the flat spaces. It is shown that the motion of test bodies in the metric accelerated and rotating reference system in general relativity is similarly to the classical motion in noninertial reference frame. Maxwell's equations and YangMills theory are converted to the moving axes in metric describes the acceleration and rotating reference frame in the general relativity in the case of an arbitrary dependence of acceleration and angular velocity of the system from time. The article discusses the known effects associated with acceleration and (or) the rotation of the reference frame  the Sagnac effect, the effect of the StewartTolman and other similar effects. The numerical model of wave propagation in noninertial reference frames in the case when potential depending of one, two and three spatial dimensions has been developed. It has been shown in numerical experiment that the acceleration of the reference system leads to retardation effects, as well as to a violation of the symmetry of the wave front, indicating that there is local change of wave speed

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

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

GENERAL RELATIVITY AND 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 are investigated. The multidimensional transient numerical model describing the processes of electromagnetic oscillations in a cavity with conducting wall created. Separately, the case of standing waves in the cavity with conducting walls considered. It is shown that the oscillations mode in the conducting resonator different from that in an ideal resonator, both in 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 YangMills field calls the change of the dielectric constant, which leads to a change in the capacitance of the resonator. Thus, the parametric resonance occurs in the system, which leads to a strengthening of the YangMills amplitude, and to the emergence of traction. We have 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 near the main resonance frequency. A model describing the excitation and emission of nonlinear waves of the YangMills field was proposed. It is shown that nonlinear waves of the YangMills field more effectively carry the momentum from the system in comparison with electromagnetic waves, and it explains the significant increase by several orders of thrust in the engines of the electromagnetic type, compared with the photon rocket

DYNAMICS OF THE GEOMAGNETIC FIELD AND SUPERGRAVITY IN 112D
01.00.00 Physicalmathematical sciences
DescriptionThe paper deals with the problem of changing the polarity of the geomagnetic field as a problem of a unified field theory and supergravity in the 112D. Investigated centrally symmetric metric depends on the radial coordinate in the observable physical space of one of the worlds. The equation that relates the magnetic field of the planet with a gravitational field in 5D has been derived. The problem of changing the polarity of the magnetic field of the Earth discussed. The rapid change of the geomagnetic field polarity detected on the basis of paleomagnetic data is modeled as a movement on a hypersphere in the 112D, which corresponds to 110 corners. The simplest example of such a movement in the case of the three angles is the Euler model that describes the rigid body rotation. In this model, there are modes with a quick flip of the body while conservation of the angular momentum. If the body has a magnetic moment, when such a change occurs flip of the magnetic field. It is assumed that the central core of the earth is magnetized and surrounded by a number of satellites, each of which has a magnetic moment. Satellites interact with a central core and one another by means of gravity and through a magnetic field. The central core may sudden flip, as in the Euler model. It is shown that the duration of phase with constant polarity and upheaval time depends on the magnitude of the disturbance torque and core asymmetry. We discuss Einstein's hypothesis about the origin of the magnetic field when rotating the neutral masses. It is shown that the motion on a hypersphere in the 112D has the effect of a magnetic field due to the interaction of nucleons in nuclei. Such magnetic field is most evident for iron, cobalt and nickel  elements are consisting of the Earth's core

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

VORTEX TURBULENT FLOWS IN ATMOSPHERES OF PLANETS AND ON THE SUN
01.00.00 Physicalmathematical sciences
DescriptionIn this work, we consider two types of vortex currentscyclones and anticyclones in the Northern and Southern Hemispheres. Numerical modeling of turbulent flows of these types uses the model of the planetary boundary layer developed by the author. The purpose of the study is to test hypotheses about the influence of the Coriolis force on the formation of cyclones and anticyclones in the northern and southern latitudes. The first hypothesis on the direction of circulation in cyclones was verified in the case of axisymmetric radially converging and vertically rising turbulent flows with a natural Coriolis parameter and viscosity. From the obtained data of numerical experiments, it follows that the current in the northern latitudes circulates in a counter clockwise direction, and in the south  in a clockwise direction, in full accordance with the observational data. Thus, we have shown that a cyclonic flow is formed in a turbulent radially converging flow under the influence of the Coriolis force. The second hypothesis on the formation of anticyclones was verified in the case of radially divergent and vertically descending turbulent flows. Because of numerical experiments, it was established that in this case, the current in the northern latitudes circulates clockwise, and in the south  in a counter clockwise direction, which corresponds to observations for anticyclones. To test the effect of the cyclone (anticyclone) center velocity on circulation, a nonstationary 3D model of turbulent flow was developed. Within the framework of this model, flows in cyclones and anticyclones moving at a constant speed, as well as in shear flow, are studied. Some types of loop protuberances on the Sun are explained by the presence of a vortex turbulent flow starting in the bowels of the Sun and encompassing the chromosphere

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

01.00.00 Physicalmathematical sciences
DescriptionIn the study we consider the problem of determining the motion and similarity parameter to the system of worlds in a Riemannian space 112D with a common field of gravity. Centrally symmetric metric, depending on the 110 angle coordinates and the radial coordinate and time was investigated. It is assumed that there are intelligent beings in every world, striving for selfknowledge. By virtue of the presence of the world hierarchy in one of them there is a system of complete identification of each characteristic of the individual being with macroparameters his world. If sentient beings in all the world to create a device to simulate their own history in the form of a network of computers using the available material and the physical laws of his world, and the loss of information when displaying one world to another is 1%, then 37 th world played only 68.9449%. For Earthlings, it was found that the average similarity parameter of professional group in recognition by using astronomical parameters is 68.75%. Therefore, we can assume that the world system, including Earth, contains 37 "floors." Assuming that each "floor" takes three space dimensions, and all the "floors" connected by a single time, we find here that the number of dimensions of spacetime of the whole system is 112. In the article the angular motion in a Riemannian space is considered. The effect of the separate worlds on other worlds is simulated. It has been shown that the physical laws in all worlds represent a single movement covering the markers in the form of the motion of atoms and elementary particles in a gravitational field in the 112D

01.00.00 Physicalmathematical sciences
DescriptionThe article deals with the solution of the NavierStokes equations describing turbulent flows over rough surfaces. It is known, that there is a mechanism of turbulent mixing in natural systems, leading to an increase in the viscosity of the continuous medium. In this regard, we suggest methods of regularization of the NavierStokes equations, similar to the natural mechanisms of mixing. It is shown, that in threedimensional flows over a rough surface turbulent viscosity increases proportionally to the square of the distance from the wall. The models of the flow, taking into account the properties of the turbulent environment are considered. A modification of the continuity equation taking into account the limiting magnitude of pressure fluctuations is proposed. It is shown, that due to the pressure pulsation, the incompressibility condition may be violated even for flows with low Mach numbers. Modification of the continuity equation taking into account turbulent fluctuations leads to a system of nonlinear equations of parabolic type. Modification of continuity equation in the system of NavierStokes by the introduction of turbulent viscosity allows the regularization of the NavierStokes equations to solve the problems with rapidly changing dynamic parameters. The main result of which is obtained by numerical simulation of the modified system of equations is the stability of the numerical algorithm at a large Reynolds number, which can be explained, first, a system of parabolic type, and a large quantity of turbulent viscosity. A numerical model of flow around plates with the rapid change in angle of attack has been verified. We have discovered the type of instability of the turbulent boundary layer associated with the rapid changes in dynamic parameters. It is shown, that the fluctuations of the boundary layer to cause generation of sound at a frequency of 100 Hz to 1 kHz