Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics

Some possible correspondences between the Scale Relativity Theory and the Space–Time Theory can be established. Since both the multifractal Schrödinger equation from the Scale Relativity Theory and the General Relativity equations for a gravitational field with axial symmetry accept the same SL(2R)-...

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Autores principales: Ghizdovat, Vlad, Rusu, Oana, Frasila, Mihail, Rusu, Cristina Marcela, Agop, Maricel, Vasincu, Decebal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10453005/
https://www.ncbi.nlm.nih.gov/pubmed/37628179
http://dx.doi.org/10.3390/e25081149
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author Ghizdovat, Vlad
Rusu, Oana
Frasila, Mihail
Rusu, Cristina Marcela
Agop, Maricel
Vasincu, Decebal
author_facet Ghizdovat, Vlad
Rusu, Oana
Frasila, Mihail
Rusu, Cristina Marcela
Agop, Maricel
Vasincu, Decebal
author_sort Ghizdovat, Vlad
collection PubMed
description Some possible correspondences between the Scale Relativity Theory and the Space–Time Theory can be established. Since both the multifractal Schrödinger equation from the Scale Relativity Theory and the General Relativity equations for a gravitational field with axial symmetry accept the same SL(2R)-type invariance, an Ernst-type potential (from General Relativity) and also a multi-fractal tensor (from Scale Relativity) are highlighted in the description of complex systems dynamics. In this way, a non-differentiable description of complex systems dynamics can become functional, even in the case of standard theories (General Relativity and Quantum Mechanics).
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spelling pubmed-104530052023-08-26 Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics Ghizdovat, Vlad Rusu, Oana Frasila, Mihail Rusu, Cristina Marcela Agop, Maricel Vasincu, Decebal Entropy (Basel) Article Some possible correspondences between the Scale Relativity Theory and the Space–Time Theory can be established. Since both the multifractal Schrödinger equation from the Scale Relativity Theory and the General Relativity equations for a gravitational field with axial symmetry accept the same SL(2R)-type invariance, an Ernst-type potential (from General Relativity) and also a multi-fractal tensor (from Scale Relativity) are highlighted in the description of complex systems dynamics. In this way, a non-differentiable description of complex systems dynamics can become functional, even in the case of standard theories (General Relativity and Quantum Mechanics). MDPI 2023-07-31 /pmc/articles/PMC10453005/ /pubmed/37628179 http://dx.doi.org/10.3390/e25081149 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ghizdovat, Vlad
Rusu, Oana
Frasila, Mihail
Rusu, Cristina Marcela
Agop, Maricel
Vasincu, Decebal
Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics
title Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics
title_full Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics
title_fullStr Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics
title_full_unstemmed Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics
title_short Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics
title_sort towards multifractality through an ernst-type potential in complex systems dynamics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10453005/
https://www.ncbi.nlm.nih.gov/pubmed/37628179
http://dx.doi.org/10.3390/e25081149
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