{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T10:07:36Z","timestamp":1770718056256,"version":"3.49.0"},"reference-count":22,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2017,3,17]],"date-time":"2017-03-17T00:00:00Z","timestamp":1489708800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Romanian National Authority for Scientific Research and Innovation, CNCS\/CCCDI-UEFISCDI","award":["PN-III-P2-2.1-PED-2016-0760"],"award-info":[{"award-number":["PN-III-P2-2.1-PED-2016-0760"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In classical concepts, theoretical models are built assuming that the dynamics of the complex system\u2019s 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 \u201cchameleon-like\u201d behavior of cholesterol.<\/jats:p>","DOI":"10.3390\/e19030128","type":"journal-article","created":{"date-parts":[[2017,3,17]],"date-time":"2017-03-17T11:22:56Z","timestamp":1489749776000},"page":"128","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications"],"prefix":"10.3390","volume":"19","author":[{"given":"Alexandru","family":"Grigorovici","sequence":"first","affiliation":[{"name":"Department of Surgery, \u201cGr. T. Popa\u201d University School of Medicine Iasi, Iasi 700115, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8063-596X","authenticated-orcid":false,"given":"Elena","family":"Bacaita","sequence":"additional","affiliation":[{"name":"Department of Physics, \u201cGheorghe Asachi\u201d Technical University of Iasi, Iasi 700050, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Viorel","family":"Paun","sequence":"additional","affiliation":[{"name":"Faculty of Applied Sciences, Polytechnic University Bucuresti, Bucure\u0219ti 060042, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Constantin","family":"Grecea","sequence":"additional","affiliation":[{"name":"Faculty of Physics, \u201cAl. I. 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