Stochastic modication of Newtonian dynamics and Induced potential -application to spiral galaxies and the dark potential

Jacky Cresson, Laurent Nottale, Thierry Lehner

Using the formalism of stochastic embedding developed by [J. Cresson, D. Darses, J. Math. Phys. 48, 072703 (2007)], we study how the dynamics of the classical Newton equation for a…