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pro vyhledávání: '"Nottale, Laurent"'
Autor:
Nottale, Laurent
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 $\alpha \ln (m_{\mathbb{P}}/m_e) = 3/8$ (where $m_{\mathbb{P}}$ is the Planck mass). We
Externí odkaz:
http://arxiv.org/abs/2104.03924
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 force deriving from a potential is deformed under the assumption that
Externí odkaz:
http://arxiv.org/abs/2011.07843
Autor:
Nottale, Laurent, Chamaraux, Pierre
Publikováno v:
A&A 641, A115 (2020)
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 interdistances between pair members from their observed (projected) values, and of
Externí odkaz:
http://arxiv.org/abs/2003.05940
Autor:
Nottale, Laurent
The anomalous magnetic moment of the muon is one of the most precisely measured quantities in physics. Its experimental value exhibits a $4.2 \, \sigma$ discrepancy $\delta a_\mu=(251 \pm 59) \times 10^{-11}$ with its theoretical value calculated in
Externí odkaz:
http://arxiv.org/abs/1905.02551
Autor:
Nottale, Laurent
The proton size has been found, with a $6\,\sigma$ statistical significance, to be larger by 4% when it is measured relatively to the electron than to the muon [Pohl2010,Antognini2013]. We solve this proton radius puzzle by accounting for the relativ
Externí odkaz:
http://arxiv.org/abs/1904.05772
Akademický článek
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Autor:
Nottale, Laurent, Lehner, Thierry
We develop a new formalism for the study of turbulence using the scale relativity framework (applied in $v$-space according to de Montera's proposal). We first review some of the various ingredients which are at the heart of the scale relativity appr
Externí odkaz:
http://arxiv.org/abs/1807.11902
A catalog of isolated galaxy pairs limited to absolute magnitude -18.5 drawn from HyperLEDA database
Autor:
Nottale, Laurent, Chamaraux, Pierre
Publikováno v:
Astrophysical Bulletin, 73(3), 310-317 (2018)
The present paper is devoted to the construction of a catalog of isolated galaxy pairs extracted from the HyperLEDA extragalactic database. The radial velocities of the galaxies in the pairs are in the range $[3000,16000]$ km.s$^{-1}$. In order to ge
Externí odkaz:
http://arxiv.org/abs/1706.06482
Autor:
Turner, Philip, Nottale, Laurent
Publikováno v:
Condensed Matter; Sep2024, Vol. 9 Issue 3, p29, 28p
This article is the second in a series of two presenting the Scale Relativistic approach to non-differentiability in mechanics and its relation to quantum mechanics. Here, we show Schroedinger's equation to be a reformulation of Newton's fundamental
Externí odkaz:
http://arxiv.org/abs/1701.00530