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.Comment: LaTeX, revte

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.Comment: LaTeX, revte

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.Comment: RevTe

Does Special Relativity Have Limits of Applicability in the Domain of Very Large Energies?

We have shown in the paper that for time with fractional dimensions (multifractal time theory) there are small domain of velocities $v$ near $v=c$ where SR must be replaced by fractal theory of almost inertial system that do not contains an infinity and permits moving with arbitrary velocities.Comment: LaTex, revte

The Theory of Fractal Time: Field Equations (the Theory of Almost Inertial Systems and Modified Lorentz Transformations)

Field equations in four order derivatives with respect to time and space coordinates based on modified classic relativistic energy of the fractal theory of time and space are received. It is shown appearing of new spin characteristics and new fields with imaginary energies .Comment: LaTex2e, revte

Can a Particle's Velocity Exceed the Speed of Light in Empty Space?

Relative motion in space with multifractal time (fractional dimension of time close to integer $d_{t}=1+\epsilon (r,t), \epsilon \ll 1$) for "almost" inertial frames of reference (time is almost homogeneous and almost isotropic) is considered. Presence in such space of absolute frames of reference and violation of conservation laws (though, small because of the smallness of $\epsilon$) due to the openness of all physical systems and inhomogeneiy of time are shown. The total energy of a body moving with $v=c$ is obtained to be finite and modified Lorentz transformations are formulated. The relation for the total energy (and the whole theory) reduce to the known formula of the special relativity in case of transition to the usual time with dimension equal to one.Comment: RevTeX, 4 page

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.Comment: LaTex,revte

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. Conclusion

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

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. ConclusionsComment: LaTe