57 citations · 461 across the 34 of their papers we have counts for
34 papers
On the neutrino and electron masses in the theory of scale relativity
Laurent Nottale
We have long ago derived a theoretical relation between the mass of the electron and the fine structure constant \cite{Nottale1994}, which writes to lowest order $α\ln (m_{\mathbb{…
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…
Statistical deprojection of intervelocities, interdistances and masses in the Isolated Galaxy Pair Catalog
Laurent Nottale, Pierre Chamaraux
In order to study the internal dynamics of actual galaxy pairs, we need to derive the probability distribution function (PDF) of true 3D (orbital) intervelocities and interdistance…
Scale-relativistic corrections to the muon anomalous magnetic moment
Laurent Nottale
The anomalous magnetic moment of the muon is one of the most precisely measured quantities in physics. Its experimental value exhibits a discrepancy $δa_μ=(251 \pm 59) \…
Scale relativity of the proton radius: solving the puzzle
Laurent Nottale
The proton size has been found, with a statistical significance, to be larger by 4% when it is measured relatively to the electron than to the muon [Pohl2010,Antognini2013].…
Turbulence and Scale Relativity
Laurent Nottale, Thierry Lehner
We develop a new formalism for the study of turbulence using the scale relativity framework (applied in -space according to de Montera's proposal). We first review some of the v…