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

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 $m_{g}=\sqrt{\epsilon (tt_{i})^{-1}}$, $m_{f}= \sqrt{(t_{0}t_{i})^{-1}}$ 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 $m_{g}\sim10^{-43}g$.Comment: LaTex,revtex,5 page