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- Title
Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics.
- Authors
Ghizdovat, Vlad; Rusu, Oana; Frasila, Mihail; Rusu, Cristina Marcela; Agop, Maricel; Vasincu, Decebal
- Abstract
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).
- Subjects
SYSTEM dynamics; RELATIVITY (Physics); GRAVITATIONAL fields; SCHRODINGER equation; QUANTUM mechanics; GENERAL relativity (Physics)
- Publication
Entropy, 2023, Vol 25, Issue 8, p1149
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e25081149