Scale dynamical origin of modification or addition of potential in mechanics. A possible framework for the MOND theory and the dark matter - Observatoire de Paris Access content directly
Other Publications Year : 2016

Scale dynamical origin of modification or addition of potential in mechanics. A possible framework for the MOND theory and the dark matter

Abstract

Using our mathematical framework developed in \cite{cresson-pierret_scale} called \emph{scale dynamics}, we propose in this paper a new way of interpreting the problem of adding or modifying potentials in mechanics and specifically in galactic dynamics. An application is done for the two-body problem with a Keplerian potential showing that the velocity of the orbiting body is constant. This would explain the observed phenomenon in the flat rotation curves of galaxies without adding \emph{dark matter} or modifying Newton's law of dynamics.

Dates and versions

obspm-03932883 , version 1 (10-01-2023)

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Frédéric Pierret. Scale dynamical origin of modification or addition of potential in mechanics. A possible framework for the MOND theory and the dark matter. 2016. ⟨obspm-03932883⟩
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