It is shown that the metric of clusters of galaxies should
be universal, depending only on the fundamental constants and compatible with the metric of the universe. There are examples of universal metrics obtained in Einstein's theory of gravitation. On the basis of axisymmetric solutions of Einstein’s equation proposed universal metric describing the properties of galaxies,
groups and clusters of galaxies
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
The study of the thermo-physical properties of liquids gives an opportunity of qualitative and quantitative evaluation of condensed matter theory, phase transitions and critical phenomena. To forecast the thermo-dynamic properties of liquid natural hydrocarbons one must know the basic heat-physical characteristics in a wide range of condition parameters. We have researched specific isobaric thermal heat capacity of gas condensates of Oposhnyanskoye, Solokhovskoye, Bukharskoye, Rybalskoye, Stavropolskoye, Schebelinskoye and Yubileinoye deposits theoretically and experimentally. These substances were in liquid phase on pseudo-critical isobar in the range of temperatures from minus 40 till 100 °C. In the article the findings of the investigation are presented. The mean relative experimental error doesn’t exceed ± 1.5 %, with reliability 0.95. The universal equation expressing specific isobaric thermal heat capacity as the function of temperature and molar mass has been obtained. It describes specific isobaric thermal heat capacity on pseudo-critical isobar for investigated natural hydrocarbons with the mean relative error, which does not exceed ± 1.65 %. The use of the equation for the calculation of specific isobaric thermal heat capacity of the substances of other deposits is recommended
We obtain a macroscopic criterion of fragile fracture (limit curve) when creating an isolated defect in the form of “narrow” undercut, when conformal mapping of the exterior of a unit circle on the plane with de-effect in the form of a recess defined by cut fiber-foam series. It is shown that in this case, the limit curve has the form identical to the case when the defect is set to "narrow" ellipse. The same crack oriented along either the compressive stress or tensile perpendicular stress. From here, we can suggest that the shape and geometric properties of a sufficiently "narrow" defect do not affect the values of the critical loads required to start its distribution
This article continues the works [1,2], devoted to the theoretical study of the basic laws of electroconvection
caused by natural or artificial inhomogeneous conductivity of ion-exchange membranes in a smooth rectangular channel electrodialysis desalination unit. For this purpose, a mathematical model was created for a binary electrolyte electroconvection at overlimiting current modes in the form of a boundary value problem for a coupled system of the Nernst-Planck-Poisson and Navier-Stokes equations. We have studied the influence of heterogeneity on the ion-exchange membranes and ion transport electroconvection salt, calculated currentvoltage characteristic. The possibility of intensification of mass transfer due to the surface modification of ion exchange membranes was also shown
The article contains results of information research of acute myeloid leukemia (AML) as complicated multiple systems. The purpose of the research is creation an information presentation of AML and algorithms for determining the temporal characteristics of the disease. For describing the development of the disease we used the system of equations describing the growth of cells in populations of acute leukemia and considering decrease of protective forces of organism. A distinctive feature of this presentation is a more detailed description of the disease. For describing the processes of the division we used logistic equation. From the moment of an initiation of treatment the new parameters have been added into the system of equations, they are in charge of action of the applied preparations and responsive mutations the leukemic cells. On the basis of the submission of the information, we presented algorithms for calculating the temporal characteristics of the disease, namely, the development time of an irreversible condition in which the body is not able to destroy the leukemic clone of yourself, and the duration of remission. Also, as a result of the research we have made an evaluation of opportunities of the obtained algorithms. The article showed the wide range of possible solutions of the algorithm of determination the duration of remission
The article examines the historical aspect of the
appearance of the concept of the photon, which was
introduced through the works of Planck, Einstein,
Compton, Lewis. It is noted that the photon has both
corpuscular characteristics (momentum, mass, energy)
and wave (frequency, wavelength), which are
interconnected. Thus, the photon has dual properties – of
a particle and a wave. The article deals with the analysis
described in the literature of the photon model proposed
by S.M. Polyakov and O.S. Polyakova, F.M.
Konarevym-Krauzerom, V.G.Kozlovym and S.I.
Chervyakov, as well as with their advantages and
disadvantages. A version of the model in the form of a
photon of two identical but oppositely charged halfmass,
which simultaneously perform translational,
rotational and vibrational motion was suggested. We
have shown derivation of the amplitude of vibration of
the two half-mass photon connected with simple relation
with wavelength, described with this photon. On this
basis, it is concluded that the state of a photon is
characterized by a rotational movement of its oppositely
charged half-stuff, which radius (r) is the amplitude of
the oscillation process of each of the half-mass, and
described by oppositely charged half-mass
circumference length S in expanded form in a result of
the progressive movement is the length wave l. This
work displays the wave equation describing the motion
of photons in the form of a standing wave which is a
complete analog-independent Schrödinger equation for
the motion of an electron in a hydrogen atom
We have studied the asymptotic behavior of a broad class of nonparametric statistics, which includes statistics of omega-square type and Kolmogorov-Smirnov type. Limit theorems have been proved. We have also developed the method of approximation with step functions. With the help of this method we have obtained a number of necessary and sufficient conditions
It is known that transmission coefficient of quartz glass containing the same amount of 28Si and 30Si in the silicon optical fiber is lesser than in commercial LEDs for telecommunications. Therefore it is topical to develop the method of optical glass formation with specified isotope composition in the core and in the shell. The article provides an analysis of physical and chemical processes occurring at the formation of quartz optical fiber blanks by vapor deposition from the gas phase. It is shown that the part of the silicon tetrachloride oxidation stages passes through the radical processes. Therefore for quartz glass formation with specified isotope composition it is possible to use the paramagnetic phenomena caused by the external magnetic field in a high-temperature flow at the quartz glass chemical deposition from the vapor phase. In this case alloy additive using is not necessary. Alloy additives can form density inhomogeneities in the glass. Simultaneous silicon glass formation and silicon isotope separation process bring to significant reduction of the fiber cost in comparison with isotope-enriched materials using. The permanent magnets can be used for magnetic field formation at existing process units
The model of chaotic behavior of nucleons in nuclei, based on the model of nuclear interactions and the Fermi-Dirac statistics is discussed