Towards nonmanifest chaos and order in biological structures by means of the multifractal paradigm

ABSTRACT

In a multifractal paradigm of motion, nonlinear behaviors of biological structures (virus systems) of Schrödinger-type regimes at various scale resolutions are analyzed. Then, in the stationary case of these regimes, the functionality of a hidden symmetry of SL(2R) type implies, through a Riccati-type gauge, different synchronization modes among these virus systems. Moreover, assuming that the nonmanifest chaos is not present, specific patterns corresponding to the dynamics in the virus systems can be highlighted. In such a framework, utilizing the methods of artificial intelligence, it is proved that, based on the dynamics of certain patterns, the modifications of the acoustic field can constitute a method of COVID-19 detection. The foundation of the use of artificial intelligence in such a situation is fundamental through the following. The harmonic mapping from the usual measurement space to the matter induces a variational principle, based on which both chaos scenarios and pattern dynamics can be studied. When assimilated to a hyperbolic space, based on which the variational principle works, the initial conditions space permits the generation of a virtual database, based on which the real behaviors of viruses can be shown through a group isomorphism of SL(2R) type. © 2023 Elsevier Inc. All rights reserved.