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

Autor: Vlad Ghizdovat, Oana Rusu, Mihail Frasila, Cristina Marcela Rusu, Maricel Agop, Decebal Vasincu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Entropy, Vol 25, Iss 8, p 1149 (2023)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e25081149
Popis: 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).
Databáze: Directory of Open Access Journals
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