Preprint Brief Report Version 1 Preserved in Portico This version is not peer-reviewed

On a variant of Newton-Coulomb's law

Version 1 : Received: 30 December 2020 / Approved: 30 December 2020 / Online: 30 December 2020 (07:40:53 CET)

How to cite: Haraux, A. On a variant of Newton-Coulomb's law. Preprints 2020, 2020120741 (doi: 10.20944/preprints202012.0741.v1). Haraux, A. On a variant of Newton-Coulomb's law. Preprints 2020, 2020120741 (doi: 10.20944/preprints202012.0741.v1).

Abstract

A variant of the usual formulas for gravitational and electrostatic fields, differing from those by a logarithmic term, is introduced in order to solve some questions connected with a possible atomic contraction phenomenon at large time scale and the so-called hidden mass problem in cosmology. This approach is conceptuallly related to the MOND theory of M. Milgrom but allows a reversal of attracting forces when the distance becomes very small. The asymptotic behavior of solutions of a related dissipative ODE is studied, we obtain that all bounded trajectories converge to a point where the field vanishes.

Subject Areas

attracting field; logarithmic perturbation; reversal of force; dissipative ODE

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