The Role of Information in Managing Interactions from a Multifractal Perspective
In the framework of the multifractal hydrodynamic model, the correlations informational entropy–cross-entropy manages attractive and repulsive interactions through a multifractal specific potential. The classical dynamics associated with them imply Hubble-type effects, Galilei-type effects, and depe...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/2/148 |
| _version_ | 1797407280389423104 |
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| author | Maricel Agop Stefan Andrei Irimiciuc Adrian Ghenadi Luminita Bibire Stefan Toma Tudor-Cristian Petrescu Dorin Vaideanu Cristina Marcela Rusu Alina Gavrilut Decebal Vasincu |
| author_facet | Maricel Agop Stefan Andrei Irimiciuc Adrian Ghenadi Luminita Bibire Stefan Toma Tudor-Cristian Petrescu Dorin Vaideanu Cristina Marcela Rusu Alina Gavrilut Decebal Vasincu |
| author_sort | Maricel Agop |
| collection | DOAJ |
| description | In the framework of the multifractal hydrodynamic model, the correlations informational entropy–cross-entropy manages attractive and repulsive interactions through a multifractal specific potential. The classical dynamics associated with them imply Hubble-type effects, Galilei-type effects, and dependences of interaction constants with multifractal degrees at various scale resolutions, while the insertion of the relativistic amendments in the same dynamics imply multifractal transformations of a generalized Lorentz-type, multifractal metrics invariant to these transformations, and an estimation of the dimension of the multifractal Universe. In such a context, some correspondences with standard cosmologies are analyzed. Since the same types of interactions can also be obtained as harmonics mapping between the usual space and the hyperbolic plane, two measures with uniform and non-uniform temporal flows become functional, temporal measures analogous with Milne’s temporal measures in a more general manner. This work furthers the analysis published recently by our group in “Towards Interactions through Information in a Multifractal Paradigm”. |
| first_indexed | 2024-03-09T03:40:02Z |
| format | Article |
| id | doaj.art-0c0ec185a77f49399b6b3c2483a6a46b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T03:40:02Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-0c0ec185a77f49399b6b3c2483a6a46b2023-12-03T14:42:30ZengMDPI AGEntropy1099-43002021-01-0123214810.3390/e23020148The Role of Information in Managing Interactions from a Multifractal PerspectiveMaricel Agop0Stefan Andrei Irimiciuc1Adrian Ghenadi2Luminita Bibire3Stefan Toma4Tudor-Cristian Petrescu5Dorin Vaideanu6Cristina Marcela Rusu7Alina Gavrilut8Decebal Vasincu9Department of Physics, Gh. Asachi Technical University of Iași, 700050 Iași, RomaniaNational Institute for Laser, Plasma and Radiation Physics, 409 Atomistilor Street, 077125 Bucharest, RomaniaDepartment of Industrial Systems Engineering and Management, Faculty of Engineering, University of Bacau, Calea Mărășești 157, 600115 Bacau, RomaniaDepartment of Environmental Engineering and Mechanical Engineering, Faculty of Engineering, University of Bacau, Calea Mărășești 157, 600115 Bacau, RomaniaDepartment of Material Engineering and Industrial Security, Gh. Asachi Technical University of Iași, 700050 Iași, RomaniaDepartment of Structural Mechanics, Gh. Asachi Technical University of Iași, 700050 Iași, RomaniaPhysics Faculty, Alexandru Ioan Cuza University of Iași, 700050 Iași, RomaniaDepartment of Physics, Gh. Asachi Technical University of Iași, 700050 Iași, RomaniaMathematics Faculty, Alexandru Ioan Cuza University of Iași, 700050 Iași, RomaniaUniversity of Medicine and Farmacy Grigore T. Popa Iași, 700050 Iași, RomaniaIn the framework of the multifractal hydrodynamic model, the correlations informational entropy–cross-entropy manages attractive and repulsive interactions through a multifractal specific potential. The classical dynamics associated with them imply Hubble-type effects, Galilei-type effects, and dependences of interaction constants with multifractal degrees at various scale resolutions, while the insertion of the relativistic amendments in the same dynamics imply multifractal transformations of a generalized Lorentz-type, multifractal metrics invariant to these transformations, and an estimation of the dimension of the multifractal Universe. In such a context, some correspondences with standard cosmologies are analyzed. Since the same types of interactions can also be obtained as harmonics mapping between the usual space and the hyperbolic plane, two measures with uniform and non-uniform temporal flows become functional, temporal measures analogous with Milne’s temporal measures in a more general manner. This work furthers the analysis published recently by our group in “Towards Interactions through Information in a Multifractal Paradigm”.https://www.mdpi.com/1099-4300/23/2/148cross-entropyinformational entropyhydrodynamic modelmultifractal attractive and repulsive forcesmultifractal Hubble-type lawmultifractal Lorentz-type transformation |
| spellingShingle | Maricel Agop Stefan Andrei Irimiciuc Adrian Ghenadi Luminita Bibire Stefan Toma Tudor-Cristian Petrescu Dorin Vaideanu Cristina Marcela Rusu Alina Gavrilut Decebal Vasincu The Role of Information in Managing Interactions from a Multifractal Perspective Entropy cross-entropy informational entropy hydrodynamic model multifractal attractive and repulsive forces multifractal Hubble-type law multifractal Lorentz-type transformation |
| title | The Role of Information in Managing Interactions from a Multifractal Perspective |
| title_full | The Role of Information in Managing Interactions from a Multifractal Perspective |
| title_fullStr | The Role of Information in Managing Interactions from a Multifractal Perspective |
| title_full_unstemmed | The Role of Information in Managing Interactions from a Multifractal Perspective |
| title_short | The Role of Information in Managing Interactions from a Multifractal Perspective |
| title_sort | role of information in managing interactions from a multifractal perspective |
| topic | cross-entropy informational entropy hydrodynamic model multifractal attractive and repulsive forces multifractal Hubble-type law multifractal Lorentz-type transformation |
| url | https://www.mdpi.com/1099-4300/23/2/148 |
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