01.00.00 Physical-mathematical sciences
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DYNAMICS OF RELATIVISTIC PARTICLES IN THE RING AND SPIRAL GALAXY METRIC
01.00.00 Physical-mathematical sciences
DescriptionIn this work, we examine the dynamics of relativistic particles in the ring or spiral galaxy metric in general relativity. On the basis of the solution of Einstein's equations we have derived metric having axial symmetry, comprising N centers of gravity and a logarithmic singularity. The application received metrics to describe the motion of particles in a spiral and ring galaxy. On the basis of Einstein's equations solutions for vacuum we are explained rotation of matter in spiral galaxies. An expression for gravitation potential in the inner region of spiral galaxies in agreement with experimental data on the rotation of the CO and hydrogen is described. It is established that in the metric with N centers of gravity which are distributed on the circumference, exist as a local motion near the center of gravity, and motion around N gravity center as well. The transition from one mode of motion to another is determined by the initial distance to the circle on which the distributed centers of gravity. A system of non-linear parabolic equations describing the evolution of the metric in the Ricci flow proposed. The boundary problem for the gravitational potentials in the Ricci flow was formulated. There are applications of the theory to describe a spiral and ring galaxy
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DYNAMICS OF RELATIVISTIC PARTICLES IN THE GALAXY METRIC
01.00.00 Physical-mathematical sciences
DescriptionIn this study we investigate the dynamics of relativistic particles in the axially symmetric metrics. We have built metric having axial symmetry and contains two centers of gravity and a logarithmic singularity. The application received metrics to the movement of particles in galaxies is described. It is established that there are stable orbit in the metric with two centers of gravity, the particle velocity at which reaches the value v/ c ≈ 7.0 . Orbit radius varies widely, but remains substantially flat orbit. Unstable same movements are completed so that the particles leave the system. The hypothesis that this kind of relativistic objects can serve as sources of the magnetic fields of the planets, stars and galaxies has been proposed. The question of the realization in the galaxy metric of Einstein's hypothetical elevator in which there is a uniform gravitational field, simulating the accelerated movement of the elevator is described. A homogeneous gravitational field in a limited region of space was numerical simulated. It has been shown that this kind of accelerated objects generate relativistic effect in the form of a log potential, not diminishing with distance from the center of the system. It is assumed that such capabilities can be associated with the Higgs field responsible for the occurrence of the inertial mass of the elementary particles
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PREONS DYNAMICS AND STRUCTURE OF QUARKS AND LEPTONS
01.00.00 Physical-mathematical sciences
DescriptionWe consider the model of the structure of matter, in which elementary particles, atoms and molecules are presented as consisting of preons particles
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DYNAMICS OF QUARKS IN THE BARYON METRIC AND THE STRUCTURE OF NUCLEI
01.00.00 Physical-mathematical sciences
DescriptionIn this paper we consider a system of Dirac equations describing the dynamics of quarks in hadrons metric. The magnetic moment and the energy of the nucleons in the case of deuterium nuclei calculated.
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DYNAMICS OF QUARKS IN THE HADRONS METRICS WITH APPLICATION TO THE BARYON STRUCTURE
01.00.00 Physical-mathematical sciences
DescriptionThe dynamics of quarks in hadrons metric is investigated. A model of baryons in the case of a stationary metric formulated. The magnetic moments of the proton, neutron and lambda baryon calculated. The metric of hadrons is determined from the Yang-Mills theory. The result is a bubble metric containing only the time and angular coordinates. We find that there may be a spherical particle, which expand in sync with the space of the universe. Therefore, they appear to the outside observer static entities having spherical symmetry, such as protons. We have shown that the quarks in the hadrons metric can be described on the basis of the Dirac equation and the equations of quantum electrodynamics. The closure model formulated and the magnetic moments of hadrons (uud), (udd) and (sdu) at given energy and given electric charge are calculated. The investigated region corresponds to the resonance energy of the quarks system, in which, apparently, pi mesons can be generated.
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QUARK DYNAMICS IN ATOMIC NUCLEI AND QUARK SHELLS
01.00.00 Physical-mathematical sciences
DescriptionIn 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.
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QUARK DYNAMICS IN ATOMIC NUCLEI AND QUARK SHELLS
01.00.00 Physical-mathematical sciences
DescriptionIn 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
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DYNAMICS OF THE GEOMAGNETIC FIELD AND SUPERGRAVITY IN 112D
01.00.00 Physical-mathematical sciences
DescriptionThe paper deals with the problem of changing the polarity of the geomagnetic field as a problem of a unified field theory and supergravity in the 112D. Investigated centrally symmetric metric depends on the radial coordinate in the observable physical space of one of the worlds. The equation that relates the magnetic field of the planet with a gravitational field in 5D has been derived. The problem of changing the polarity of the magnetic field of the Earth discussed. The rapid change of the geomagnetic field polarity detected on the basis of paleomagnetic data is modeled as a movement on a hypersphere in the 112D, which corresponds to 110 corners. The simplest example of such a movement in the case of the three angles is the Euler model that describes the rigid body rotation. In this model, there are modes with a quick flip of the body while conservation of the angular momentum. If the body has a magnetic moment, when such a change occurs flip of the magnetic field. It is assumed that the central core of the earth is magnetized and surrounded by a number of satellites, each of which has a magnetic moment. Satellites interact with a central core and one another by means of gravity and through a magnetic field. The central core may sudden flip, as in the Euler model. It is shown that the duration of phase with constant polarity and upheaval time depends on the magnitude of the disturbance torque and core asymmetry. We discuss Einstein's hypothesis about the origin of the magnetic field when rotating the neutral masses. It is shown that the motion on a hypersphere in the 112D has the effect of a magnetic field due to the interaction of nucleons in nuclei. Such magnetic field is most evident for iron, cobalt and nickel - elements are consisting of the Earth's core
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DYNAMICS OF THE GEOMAGNETIC FIELD AND REVERSALS IN THE SATELLITE MODEL
01.00.00 Physical-mathematical sciences
DescriptionThe article deals with the problem of changing the polarity of the geomagnetic field in the satellite model. It is assumed that the central core of the earth magnetized and surrounded by a number of satellites, each of which has a magnetic moment. Satellites interact with a central core and one another by means of gravity and through a magnetic field. It is shown that satellites distributed in orbit around a central core in such a system. It displays two models, one of which on the outer orbit satellites interact with each other and with a central body - the core and satellites, located on the inner orbit. The central body can make sudden upheavals in the fall at the core of one or more satellites, which leads to the excitation of vibrations in the satellite system, located on the outer orbit. It is shown that the duration of phase with constant polarity and upheaval time depends on the magnitude of the disturbance torque and core asymmetry. The second model contains two magnets subsystems and the central core. The rapid change of the geomagnetic field polarity detected on the basis of paleomagnetic data is modeled based on the Euler theory describing the rigid body rotation. In this model, there are modes with a quick flip of the body while maintaining the angular momentum. If the body has a magnetic moment, when there is a change coup magnetic field polarity. This leads to the excitation of vibrations in the satellite subsystems that are on the inner and outer orbits. Numerical simulation of the dynamics of the system consisting of the core and 10-13 satellites was run to determine the period of constant polarity magnetic field
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DIAMETER AND RADIUS OF THE WEIGHTED PREFRACTAL GRAPH BY A COMPLETE BIPARTITE SEED
01.00.00 Physical-mathematical sciences
DescriptionResearches of metric characteristics on prefractal graphs are known tasks. Such tasks arise when determining estimates of length, of depth, of width of the graph. Also these questions arise when determining results of optimization of these tasks of the prefractal graphs. Properties of metric characteristics depend on a trajectory of generation of the prefractal graph and on the characteristic of primings. In this work, metric characteristics on prefractal weighed graphs are investigated, dependence of metric characteristics on a trajectory of a priming and prefractal graphs is revealed. Estimates are obtained for the diameter and radius of the weighted prefractal and fractal graphss