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Entropy 2017, 19(3), 128; doi:10.3390/e19030128

Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications

1
Department of Surgery, “Gr. T. Popa” University School of Medicine Iasi, Iasi 700115, Romania
2
Department of Physics, “Gheorghe Asachi” Technical University of Iasi, Iasi 700050, Romania
3
Faculty of Applied Sciences, Polytechnic University Bucuresti, București 060042, Romania
4
Faculty of Physics, “Al. I. Cuza” University Iasi, Iasi 700506, Romania
5
Academy of Romanian Scientists, București 060042, Romania
6
Department of Emergency Medicine, “Gr. T. Popa” University School of Medicine Iasi, Iasi 700115, Romania
*
Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz Martínez
Received: 31 January 2017 / Revised: 11 March 2017 / Accepted: 15 March 2017 / Published: 17 March 2017
(This article belongs to the Special Issue Symbolic Entropy Analysis and Its Applications)
View Full-Text   |   Download PDF [890 KB, uploaded 17 March 2017]   |  

Abstract

In classical concepts, theoretical models are built assuming that the dynamics of the complex system’s stuctural units occur on continuous and differentiable motion variables. In reality, the dynamics of the natural complex systems are much more complicated. These difficulties can be overcome in a complementary approach, using the fractal concept and the corresponding non-differentiable theoretical model, such as the scale relativity theory or the extended scale relativity theory. Thus, using the last theory, fractal entropy through non-differentiable Lie groups was established and, moreover, the pairs generating mechanisms through fractal entanglement states were explained. Our model has implications in the dynamics of biological structures, in the form of the “chameleon-like” behavior of cholesterol. View Full-Text
Keywords: non-differentiability; fractal Lie groups; fractal entropy; pairs by entanglement non-differentiability; fractal Lie groups; fractal entropy; pairs by entanglement
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Grigorovici, A.; Bacaita, E.S.; Paun, V.P.; Grecea, C.; Butuc, I.; Agop, M.; Popa, O. Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications. Entropy 2017, 19, 128.

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