#### Name

Trunev Aleksandr Petrovich

#### Scholastic degree

•

#### Academic rank

â€”

#### Honorary rank

â€”

#### Organization, job position

A&E Trounev IT Consulting, Toronto, Canada

#### Web site url

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## Articles count: 125

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

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

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

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.

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

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

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

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)

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 Friedmanâ€™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.

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.