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research article

Towards Interactions Through Differentiable-Non-Differentiable Scale Transitions In Scale Relativity Theory

Dobreci, Lucian
•
Saviuc, Alexandra
•
Petrescu, Tudor-Cristian
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January 1, 2021
University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics And Physics

It is shown that, in the framework of Scale Relativity Theory, correlations of type informational entropy/cross entropy - probability density, in the description of the dynamics of any complex system, can be perceived as interactions. Explaining these interactions for a Gaussian - type probability density, implies both attractive forces (of Newtonian type) and repulsive forces (oscillatory harmonic type).

  • Details
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Type
research article
Web of Science ID

WOS:000664302900022

Author(s)
Dobreci, Lucian
Saviuc, Alexandra
Petrescu, Tudor-Cristian
Paun, Maria-Alexandra  
Frasila, Mihail
Nedeff, Florin
Paun, Vladimir-Alexandru
Dumitrascu, Catalin
Paun, Viorel-Puiu
Agop, Maricel
Date Issued

2021-01-01

Publisher

UNIV POLITEHNICA BUCHAREST, SCI BULL

Published in
University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics And Physics
Volume

83

Issue

2

Start page

239

End page

252

Subjects

Mathematics, Applied

•

Physics, Multidisciplinary

•

Mathematics

•

Physics

•

informational entropy

•

cross entropy

•

multifractals

•

scale relativity theory

•

fractal analysis

•

space-time

•

transport

•

dimension

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
SCI-STI-CD  
Available on Infoscience
July 17, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/180105
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