MULTIFRACTAL HYDRODYNAMIC MODELING IN SCALE RELATIVITY WITH PERSPECTIVES FOR ENVIRONMENTAL, CHEMICAL, AND BIOTECHNOLOGICAL SYSTEMS
EMANUEL NAZARETIAN(1), ALEXANDRA IULIANA UNGUREANU(2*), CĂTĂLIN DUMITRAȘ(1), ALINA DOBOS(3), MANUELA OPRISAN(4), STEFANA AGOP(5)
1. Faculty of Machine Manufacturing and Industrial Management, “Gheorghe Asachi” Technical University of Iasi, 700050 Iasi, Romania
2. Grigore T. Popa University of Medicine and Pharmacy Iasi, 700115, Iasi, Romania
3. Faculty of Physics, Alexandru Ioan Cuza University of Iasi, 700506, Iasi, Romania
4. Regional Institute of Oncology Iasi, Mathias Berthelot 2-4, 700483, Iasi, Romania
5. Faculty of Materials Science and Engineering, “Gheorghe Asachi” Technical University of Iasi, 700050 Iasi, Romania
* Corresponding author: iuliana.saviuc@gmail.com
Abstract
The study examines dynamic representations of complex systems in two multifractal scenarios: the Schrödinger multifractal scenario and the Madelung multifractal scenario, both being contextualized in Scale Relativity Theory. These scenarios exhibit the self-organization of complex systems and the emergence of new behavior. The numerical methods used in this study investigated changing patterns, symmetries, and vortex dynamics in various settings. These findings show that complex systems can exhibit self-similar (holographic) patterns, suggesting an intricate interplay between fractality and dynamics across different scales. It describes how these changes can dramatically change any existing viewpoint with reference to Scale Relativity Theory (SRT).