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L. Ya. Kobelev

Publications and source records attributed to L. Ya. Kobelev.

At least 19 recordsLinked to original sources
arXiv2001

About Small Corrections to General Relativity: Gravitational Acceleration Depands of the Accelereted Bodies Masses

In the frame of multifractal theory of time and space (in this model our universe is consisting of real time and space fields and is the multifractal universe) in the works [1]-[16] some problems were analyzed: how the fractional dimensions of real fields of time and space influence on behavior of different physical phenomena. In this paper it is shown that in the multifractal theory of time and space the corrections of general relativity to Newton gravitational forces are explaining very simple in Newton approach. It is shown also that there is dependence (though very small) of bodies gravitational acceleration from their masses, so the principle of equivalence in multifractal universe is not absolute and it is only a very good approach. For perihelion of Mercury rotation the correction to known results of Einstein relativity is consi- dered. CONTENTS: 1. Introduction; 2. Newton Equations in the Multifractal Universe; 3. Is Gravitational Acceleration Depends of the Mass of the Accelerated Body? 4. Experimental Checking; 5. Conclusions

physics.gen-ph↗
arXiv2001

Newton Equations May be Treated as Diffusion Equations in the Real Time and Space Fields of Multifractal Universe (Masses are Diffusion Coefficients of Diffusion-like Equations)

In thirties years of last century Dirac proposed to treat Schrodinger equation as the equation of diffusion with imaginary diffusion coefficient. In the frame of multifractal theory of time and space (in this model our the multifractal universe is consisting of real time and space fields) in the works [1]-[16] was analyzed how the fractional dimensions of real fields of time and space influence on behavior of different physical phenomena. In this paper the Newton equations of the multifractal universe (considered for the first time in [1]-[3]) are generalized and is treated as the equations of diffusion with mass of bodies (depending of fractional dimension of place, where these bodies located) as a coefficient of diffusion. The realization of this point of view for inhomogeneous time equations (the analogies of Newton equations) is carried out too. The last leads to introducing of new sort of masses: the masses that characterize the inertia of inhomogeneous time flows with space coordinates changing. CONTENTS: 1. Introduction;2. Newton Equations in the Multifractal Universe; 3. Generalized Newton Equations and Its Diffusion Interpretation; 4. Generalized Inhomogeneous Time Equation and Its Diffusion Interpretation; 5. Conclusions

physics.gen-ph↗
arXiv2000

Why We Can Not Walk To and Fro in Time as Do it in Space? (Why the Arrow of Time is Exists?)

Existence of arrow of time in our world may be easy explained if time has multifractal nature. The interpretation of nature of time arrow is made on the base of multifractal theory of time and space presented at works \cite{kob1}-\cite{kob15}. In this paper shown possibility to walk to and fro in space and necessity of huge amount of energy for stopping time and changing direction of it in microscopic volumes. Contents: 1. Introduction 2.Universe as Time and Space with Fractional Dimensions 3. Why Time has Direction Only to Future and Why Impossible to Walk in Time To and Fro? 4. Is It Possible to Change Direction of Time and How Much Energy It Needs? 5.How Much Energy Needs for Stopping Time and Moving it Back in the Volume of Cubic Centimeter During One Second? 6. Why We Can Walk To and Fro in Our Space? 7. Conclusions

physics.gen-ph↗
arXiv2000

How Much Energy Have Real Fields Time and Space in Multifractal Universe?

On the base of multifractal theory of time and space (see \cite{kob1}-\cite{kob16}) in this paper shown presence in every space and time volumes of real space and time fields a huge supply of energy . In the multifractal Universe every space volume or time interval possesses by huge amount of energy($\sim10^{60}cm^{3}$) and we discuss the problem is it possible this new for mankind sorts of energy to extract. Contents: 1. Introduction 2. What are Energy Densities of Real Space and Time Fields in Multifractal Universe? 3. How Much Energy Space and Time Continually Lose?

physics.gen-ph↗
arXiv2000

What Future Expects Humanity After the Demographic Transition Time?

The variant of phenomenological theory of humankind future existence after time of demographic transition based on treating the time of demographic transition as a point of phase transition and taking into account an appearing of the new phase of mankind is proposed. The theory based on physical phenomenological theories of phase transitions and classical equations for system predatory-preys for two phases of mankind, take into account assumption about a multifractal nature of the set of number of people in temporal axis and contains control parameters. The theory includes scenario of destroying of existent now human population by new phase of humanity and scenario of old and new phases co-existence. In particular cases when the new phase of mankind is absent the equations of theory may be formulated as equations of Kapitza, Foerster, Hoerner, Kobelev and Nugaeva, Johansen and Sornette phenomenological theories of growth of mankind.

physics.gen-ph↗
arXiv2000

Do Gravitational and Electromagnetic Fields Have Rest Masses in the Fractal Universe?

As well known rest masses of elementary particles and physical fields appear when temperature of Universe become low enough and symmetry broke. Are there another sources of rest masses that are consequences of other nature of rest masses or it is the only methods for generating rest masses? What will be with massless fields when the laws of symmetry are not exact laws but only are very good approximation and the time is not homogeneous, as it is in the fractal world? In this paper based on the fractal theory of time and space (developed by author earlier) a possible source of rest masses caused by the fractional dimensions (FD) of the time is considered. It gives rest masses (very small) for all particles and fields including gravitational and electromagnetic fields. The estimation of the values of the rest masses gives $m_{g}=\sqrt{ε(tt_{i})^{-1}}$, $m_{f}= \sqrt{(t_{0}t_{i})^{-1}}$ where $t_{i}$ is the necessary time for photons and gravitons with rest masses $m_{ph}$ and $m_{g}$ to get the velocity equal the speed of light (in the fractal Universe the moving with any velocities is possible), $t_{0}$ is the time of existence of Universe. Under some assumption preliminary values of rest masses photons and gravitons are obtained: for a rest mass of photons $ m_{f}\sim 10^{-39}g$, for a rest mass of gravitons $m_{g}\sim10^{-43}g$.

physics.gen-ph↗
arXiv2000

The Theory of Gravitation in the Space - Time with Fractal Dimensions and Modified Lorents Transformations

In the space and the time with a fractional dimensions the Lorents transformations fulfill only as a good approach and become exact only when dimensions are integer. So the principle of relativity (it is exact when dimensions are integer) may be treated also as a good approximation and may remain valid (but modified) in case of small fractional corrections to integer dimensions of time and space. In this paper presented the gravitation field theory in the fractal time and space (based on the fractal theory of time and space developed by author early). In the theory are taken into account the alteration of Lorents transformations for case including $v=c$ and are described the real gravitational fields with spin equal 2 in the fractal time defined on the Riemann or Minkowski measure carrier. In the theory introduced the new "quasi-spin", given four equations for gravitational fields (with different "quasi spins" and real and imaginary energies). For integer dimensions the theory coincide with Einstein GR or Logunov- Mestvirichvili gravitation theory.

physics.gen-ph↗
arXiv2000

Is the Time a Dimension of an Alien Universe? (this hypothesis gives an additional redshift)

On the base of the hypothesis about a nature of the time as a dimension of alien Universe relation between alteration of time with coordinates $\frac{\partial t}{\partial x}$ and time {t} offered: $ \frac{\partial t} {\partial x} = H_{t} t$ . This relation is an analogy of the Habble law in the time space. The consequence of it is additional redshift $Z_{DT}$ depending on differences $τ$ of times existence of the objects with redshift that are compared ($t_{0}$ is the time existence of more old object): $Z_{DT}=\frac{1+\fracτ{t_{0}}}{\sqrt{1-(\fracτ{t_{0}}})^{2}}-1$. The redshift of Arp galaxies may be explained if this relation is used and this explanation doe's not contradict Arp hypothesis about supernova explosions. Discussion a possibilities of experimental verification of the hypothesis is considered.

physics.gen-ph↗
arXiv2000

Is it Possible to Describe Economical Phenomena by Methods of Statistical Physics of Open Systems?

The methods of statistical physics of open systems are used for describing the time dependence of economic characteristics (income, profit, cost, supply, currency etc.) and their correlations with each other. Nonlinear equations (analogies of known reaction-diffusion, kinetic, Langevin equation) describing appearance of bifurcations, self-sustained oscillational processes, self-organizations in economic phenomena are offered.

physics.gen-ph↗
arXiv2000

About the Dependence of the Currency Exchange Rate at Time and National Dividend, Investments Size, Difference Between Total Demand and Supply

The time dependence of the currency exchange rate K treated as a function of national dividend, investments and difference between total demand for a goods and supply is considered. To do this a proposed earlier general algorithm of economic processes describing on the basis of the equations for K like the equations of statistical physics of open systems is used. A number of differential equations (including nonlinear ones too) determining the time dependence of the exchange rate (including oscillations) is obtained.

physics.gen-ph↗
arXiv2000

Will the Population of Humanity in the Future be Stabilized?

A phenomenological theory of growth of the population of humankind is proposed. The theory based on the assumption about a multifractal nature of the set of number of people in temporal axis and contains control parameters. In particular cases the theory coincide with known Kapitza, Foerster, Hoerner phenomenological theories.

physics.pop-ph↗
arXiv2000

The Multifractal Time and Irreversibility in Dynamic Systems

The irreversibility of the equations of classical dynamics (the Hamilton equations and the Liouville equation) in the space with multifractal time is demonstrated. The time is given on multifractal sets with fractional dimensions. The last depends on densities of Lagrangians in a given time moment and in a given point of space. After transition to sets of time points with the integer dimension the obtained equations transfer in the known equations of classical dynamics. Production of an entropy is not equally to zero in space with multifractal time, i.e. the classical systems in this space are non-closed.

physics.gen-ph↗