Towards a Holographic-Type Perspective in the Analysis of Complex-System Dynamics
SYMMETRY-BASEL(2023)
Abstract
By operating with the Scale Relativity Theory by means of two scenarios (Schrodinger 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.
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Key words
dynamics,holographic-type,complex-system
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