Coherences in the Dynamics of Physical Systems from a Multifractal Perspective of Motion

Author:

Vasincu Decebal1,Bruma Andreea Bianca2,Rusu Oana3,Rusu Cristina Marcela4,Ghizdovat Vlad5,Agop Maricel46

Affiliation:

1. Faculty of Dental Medicine, “Grigore T. Popa” University of Medicine and Pharmacy, 700115 Iasi, Romania

2. Faculty of Physics, ”Alexandru Ioan Cuza” University of Iasi, 700506 Iasi, Romania

3. Faculty of Material Science and Engineering, “Gheorghe Asachi” University of Iasi, 700050 Iasi, Romania

4. Department of Physics, “Gheorghe Asachi” Technical University of Iasi, 700050 Iasi, Romania

5. Department of Biophysics and Medical Physics, “Grigore T. Popa” University of Medicine and Pharmacy, 700115 Iasi, Romania

6. Romanian Scientists Academy, 54 Splaiul Independentei, 050094 Bucharest, Romania

Abstract

Using an analogy between the multi-fractal Schrödinger equation and the dumped oscillator equation through a special ansatz, Stoler-type coherences in the dynamics of physical systems are highlighted. Such a result implies a Ricatti-type gauge, a process that can be considered a calibration of the difference between the kinetic and potential energy of a Lagrangian, specified as a perfect square in generic coordinates.

Publisher

MDPI AG

Subject

General Physics and Astronomy

Reference29 articles.

1. Nottale, L. (2011). Scale Relativity and Fractal Space-Time: A New Approach to Unifying Relativity and Quantum Mechanics, Imperial College Press.

2. Merches, I., and Agop, M. (2016). Differentiability and Fractality in Dynamics of Physical Systems, World Scientific.

3. Agop, M., and Paun, V.P. (2017). Fundaments and Applications, Romanian Academy Publishing House.

4. Mandelbrot, B.B. (2004). Fractal and Chaos, Springer.

5. Cristescu, C.P. (2008). Theoretical Fundaments and Applications, Romanian Academy Publishing House.

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