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
In 1893, the French mathematician J. Adamar
raised the question: given a matrix of fixed order
with coefficients not exceeding modulo this value,
then what is the maximum modulo value can take
the determinant of this matrix? Adamar fully
decided this question in the case when the
coefficients of the matrix are complex numbers and
put forward the corresponding hypothesis in the
case when the matrix coefficients are real numbers
modulo equal to one. Such matrices satisfying the
Hadamard conjecture were called Hadamard
matrices, their order is four and it is unknown
whether this condition is sufficient for their
existence. The article examines a natural
generalization of the Hadamard matrices over the
field of real numbers, they are there for any order.
This paper proposes an algorithm for the
construction of generalized Hadamard matrices,
and it is illustrated by numerical examples. Also
introduces the concept of constants for the natural
numbers are computed values of this constant for
some natural numbers and shown some
applications of Hadamard constants for estimates
on the top and bottom of the module of the
determinant of this order with arbitrary real
coefficients, and these estimates are in some cases
better than the known estimates of Hadamard. The
results of the article are associated with the results
of the con on the value of determinants of matrices
with real coefficients, not exceeding modulo units
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 Friedman’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.
The formula for definition of magnitude and direction of secondary sources of a field as surface currents for the registration of heterogeneity of environment is found. We have shown that it is possible to solve non-linear field problems, using the mathematical deduc-tions shown in this article
In practical use of methods of applied statistics we do not apply separate methods for describing data, estimation, testing hypotheses, but we must use deployed whole procedures - the so-called "statistical technology". The concept of "statistical technology" is similar to the concept of "technological process" in the theory and practice of organization of production. It is quite natural that some statistical technology can better meet the needs of the researcher (user, statistics) than others, some - are modern, and others - outdated, some properties are studied, and the others - no. It is important to stress that a qualified and efficient use of statistical methods - this is not one single statistical hypothesis testing and estimation of characteristics or parameters of a given distribution from fixed family. This kind of operations - only the individual building blocks that make up the statistical technology. The procedure of the statistical data analysis - is an information process, in other words, one or other information technology. Statistical information is subject to a variety of operations (series, parallel, or more complex schemes). In this article we discuss statistical technologies and the problem of "docking" algorithms. We introduce the concept of "high statistical technologies" and then we prove the necessity of their development and application. As the examples we have given the researches of Institute of high statistical technologies and econometrics of Bauman Moscow State Technical University. We have also considered a number of education problems in domain of high statistical technologies