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)

Details 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) 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)

2001-04-11

arxiv.org/abs/physics/0104040v1

Physics

General Physics

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Scientific paper

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

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