Name
Trunev Aleksandr Petrovich
Scholastic degree
•
Academic rank
—
Honorary rank
—
Organization, job position
A&E Trounev IT Consulting, Toronto, Canada
Web site url
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Articles count: 125
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
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.
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
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
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.
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
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
In this article we consider the system of equations of electrodynamics of continuous media molecules consisting of preons, including quarks and electrons
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
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