2001/04/11 by L. Ya. Kobelev, Kobelev, L. Ya.
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Dynamics #Complex Systems and Time Series Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Statistical Mechanics and Entropy #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0104039
LaTeX
arxiv created 2001/04/11 · openalex publication_date 2001/04/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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