Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications
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 c...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2017-03-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/19/3/128 |
| _version_ | 1797999861126135808 |
|---|---|
| author | Alexandru Grigorovici Elena Simona Bacaita Viorel Puiu Paun Constantin Grecea Irina Butuc Maricel Agop Ovidiu Popa |
| author_facet | Alexandru Grigorovici Elena Simona Bacaita Viorel Puiu Paun Constantin Grecea Irina Butuc Maricel Agop Ovidiu Popa |
| author_sort | Alexandru Grigorovici |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T11:11:23Z |
| format | Article |
| id | doaj.art-07e937cdf2ad4041b1fa4f0f72ce29d7 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T11:11:23Z |
| publishDate | 2017-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-07e937cdf2ad4041b1fa4f0f72ce29d72022-12-22T04:27:28ZengMDPI AGEntropy1099-43002017-03-0119312810.3390/e19030128e19030128Pairs Generating as a Consequence of the Fractal Entropy: Theory and ApplicationsAlexandru Grigorovici0Elena Simona Bacaita1Viorel Puiu Paun2Constantin Grecea3Irina Butuc4Maricel Agop5Ovidiu Popa6Department of Surgery, “Gr. T. Popa” University School of Medicine Iasi, Iasi 700115, RomaniaDepartment of Physics, “Gheorghe Asachi” Technical University of Iasi, Iasi 700050, RomaniaFaculty of Applied Sciences, Polytechnic University Bucuresti, București 060042, RomaniaFaculty of Physics, “Al. I. Cuza” University Iasi, Iasi 700506, RomaniaFaculty of Physics, “Al. I. Cuza” University Iasi, Iasi 700506, RomaniaDepartment of Physics, “Gheorghe Asachi” Technical University of Iasi, Iasi 700050, RomaniaDepartment of Emergency Medicine, “Gr. T. Popa” University School of Medicine Iasi, Iasi 700115, RomaniaIn 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.http://www.mdpi.com/1099-4300/19/3/128non-differentiabilityfractal Lie groupsfractal entropypairs by entanglement |
| spellingShingle | Alexandru Grigorovici Elena Simona Bacaita Viorel Puiu Paun Constantin Grecea Irina Butuc Maricel Agop Ovidiu Popa Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications Entropy non-differentiability fractal Lie groups fractal entropy pairs by entanglement |
| title | Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications |
| title_full | Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications |
| title_fullStr | Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications |
| title_full_unstemmed | Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications |
| title_short | Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications |
| title_sort | pairs generating as a consequence of the fractal entropy theory and applications |
| topic | non-differentiability fractal Lie groups fractal entropy pairs by entanglement |
| url | http://www.mdpi.com/1099-4300/19/3/128 |
| work_keys_str_mv | AT alexandrugrigorovici pairsgeneratingasaconsequenceofthefractalentropytheoryandapplications AT elenasimonabacaita pairsgeneratingasaconsequenceofthefractalentropytheoryandapplications AT viorelpuiupaun pairsgeneratingasaconsequenceofthefractalentropytheoryandapplications AT constantingrecea pairsgeneratingasaconsequenceofthefractalentropytheoryandapplications AT irinabutuc pairsgeneratingasaconsequenceofthefractalentropytheoryandapplications AT maricelagop pairsgeneratingasaconsequenceofthefractalentropytheoryandapplications AT ovidiupopa pairsgeneratingasaconsequenceofthefractalentropytheoryandapplications |