On a variant of Newton-Coulomb's law - Sorbonne Université
Pré-Publication, Document De Travail Année : 2020

On a variant of Newton-Coulomb's law

Alain Haraux
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Résumé

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.
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Dates et versions

hal-03090702 , version 1 (30-12-2020)

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  • HAL Id : hal-03090702 , version 1

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Alain Haraux. On a variant of Newton-Coulomb's law. 2020. ⟨hal-03090702⟩
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