Name
Trunev Aleksandr Petrovich
Scholastic degree
•
Academic rank
—
Honorary rank
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Organization, job position
A&E Trounev IT Consulting, Toronto, Canada
Web site url
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Articles count: 125
The special states of a hydrogen atom, arising from the interaction of a proton with a scalar massless field studied on the basis of Kaluza-Klein theory. It is shown that some states of the atoms have parameters of the neutron.
Parameters describing periodic trends in the formation of nuclear shells have been established based on the theory of nuclear interactions and data on the binding energy of nucleons for the set of known nuclides
Parameters describing periodic trends in the formation of nuclear shells have been established based on the theory of nuclear interactions and data on the binding energy of nucleons for the set of known nuclides
The solution of the problem of the displacement of the perihelion of Mercury in Einstein's theory of gravitation, taking into account the mechanism of formation of matter from dark energy, has been
obtained. It is shown that the observed value of the precession imposes a restriction on the equation of state of dark energy in the case of static fields
In this work, we investigate the problem of collisions of
particles linked to the singularities of the gravitational
field in the Ricci flow. A system of non-linear parabolic
equations describing the evolution of the axially
symmetric metrics proposed. We consider the metric
having axial symmetry and comprising two singularities
simulating particles of finite mass. There was
numerically investigated the change of the metric in the
collision of particles. Two formulations of the problem
have been considered, one of which scatter particles after
the collision, and the other as a result of the merger of
two particles, a new stable static system, which can be
interpreted as a new particle. 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 system. A
model describing the emission of gravitational waves in
the collision of particles in the Ricci flow proposed. 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
Particle 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 112-dimensional 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 (N-1) of singular points. We have
installed general nature of relativistic motion on a
hypersphere when it is displayed on the plane and in
three-dimensional 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 Yang-Mills theory
The 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 Navier-Stokes 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 Navier-Stokes by the introduction of
turbulent viscosity allows the regularization of the
Navier-Stokes 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
A number of information and semantic models has been developed using artificial intelligence system AIDOS-X. The similarity between the movement of the elements of the lunar orbit and the dynamics of the instantaneous pole of the Earth, as well as violations of the global atmospheric circulation and water, leading to the emergence of episodes of El Niño and La Niña are justified. We have explored a possibility of semantic
information models equatorial regions of the Pacific for prediction of global climatic disturbances in the tropical latitudes. We made a forecast about breaking of global ocean circulation, or the occurrence of El Niño episode of the classical type in 2015
On the basis of semantic information models examined the dependence of parameters of seismic activity on the gravity of celestial bodies. The regional semantic information model of climate is developed
In this article, a model of preons electric currents caused by the motion of preons in the electron shells and nuclear shells is proposed. It is assumed that preons currents may contribute to the conductivity of the material. A closed model of electrodynamics, which describes the diffusion of the vector potential due to the contribution to the conductivity of preons currents, is formulated. An analogy of hydrodynamics and electrodynamics of continuous media with preons currents is considered. A model of the wireless transmission of electricity is proposed