Towards a Holographic-Type Perspective in the Analysis of Complex-System Dynamics

By operating with the Scale Relativity Theory by means of two scenarios (Schrӧdinger and Madelung-type scenarios) in the dynamics of complex systems, we can achieve a description of these complex systems through a holographic-type perspective. Then, a gauge invariance of the Riccati type becomes fun...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-03, Vol.15 (3), p.681
Main Authors: Agop, Ștefana, Filipeanu, Dumitru, Țigănaș, Claudiu-Gabriel, Grigoraș-Ichim, Claudia-Elena, Moroșan-Dănilă, Lucia, Gavriluț, Alina, Agop, Maricel, Ștefan, Gavril
Format: Article
Language:English
Subjects:
Complex systems
Conservation laws
Dynamic structural analysis
Economic analysis
Environmental law
fractal
Fractals
Gauge invariance
harmonic mappings
Holography
Madelung-type scenario
Mathematical functions
Partial differential equations
Relativity
Scale Relativity Theory
Schrödinger-type scenario
SL(2R) group
Synchronism
System dynamics
Theory of relativity
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Summary:By operating with the Scale Relativity Theory by means of two scenarios (Schrӧdinger and Madelung-type scenarios) in the dynamics of complex systems, we can achieve a description of these complex systems through a holographic-type perspective. Then, a gauge invariance of the Riccati type becomes functional in complex-system dynamics, which implies several consequences: conservation laws (in particular, for dynamics, the kinetic momentum conservation law), simultaneity and synchronization among the structural units’ (belonging to a complex system) dynamics, and temporal patterns through harmonic mappings. Finally, an economic case analysis is highlighted.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15030681