{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:46:23Z","timestamp":1760233583821,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,1,26]],"date-time":"2021-01-26T00:00:00Z","timestamp":1611619200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In the framework of the multifractal hydrodynamic model, the correlations informational entropy\u2013cross-entropy manages attractive and repulsive interactions through a multifractal specific potential. The classical dynamics associated with them imply Hubble-type effects, Galilei-type effects, and dependences of interaction constants with multifractal degrees at various scale resolutions, while the insertion of the relativistic amendments in the same dynamics imply multifractal transformations of a generalized Lorentz-type, multifractal metrics invariant to these transformations, and an estimation of the dimension of the multifractal Universe. In such a context, some correspondences with standard cosmologies are analyzed. Since the same types of interactions can also be obtained as harmonics mapping between the usual space and the hyperbolic plane, two measures with uniform and non-uniform temporal flows become functional, temporal measures analogous with Milne\u2019s temporal measures in a more general manner. This work furthers the analysis published recently by our group in \u201cTowards Interactions through Information in a Multifractal Paradigm\u201d.<\/jats:p>","DOI":"10.3390\/e23020148","type":"journal-article","created":{"date-parts":[[2021,1,26]],"date-time":"2021-01-26T08:29:16Z","timestamp":1611649756000},"page":"148","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Role of Information in Managing Interactions from a Multifractal Perspective"],"prefix":"10.3390","volume":"23","author":[{"given":"Maricel","family":"Agop","sequence":"first","affiliation":[{"name":"Department of Physics, Gh. Asachi Technical University of Ia\u0219i, 700050 Ia\u0219i, Romania"},{"name":"Romanian Scientists Academy, 54 Splaiul Independentei, 050094 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4592-6814","authenticated-orcid":false,"given":"Stefan Andrei","family":"Irimiciuc","sequence":"additional","affiliation":[{"name":"National Institute for Laser, Plasma and Radiation Physics, 409 Atomistilor Street, 077125 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adrian","family":"Ghenadi","sequence":"additional","affiliation":[{"name":"Department of Industrial Systems Engineering and Management, Faculty of Engineering, University of Bacau, Calea M\u0103r\u0103\u0219e\u0219ti 157, 600115 Bacau, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luminita","family":"Bibire","sequence":"additional","affiliation":[{"name":"Department of Environmental Engineering and Mechanical Engineering, Faculty of Engineering, University of Bacau, Calea M\u0103r\u0103\u0219e\u0219ti 157, 600115 Bacau, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4623-9175","authenticated-orcid":false,"given":"Stefan","family":"Toma","sequence":"additional","affiliation":[{"name":"Department of Material Engineering and Industrial Security, Gh. Asachi Technical University of Ia\u0219i, 700050 Ia\u0219i, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0006-7048","authenticated-orcid":false,"given":"Tudor-Cristian","family":"Petrescu","sequence":"additional","affiliation":[{"name":"Department of Structural Mechanics, Gh. Asachi Technical University of Ia\u0219i, 700050 Ia\u0219i, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dorin","family":"Vaideanu","sequence":"additional","affiliation":[{"name":"Physics Faculty, Alexandru Ioan Cuza University of Ia\u0219i, 700050 Ia\u0219i, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cristina Marcela","family":"Rusu","sequence":"additional","affiliation":[{"name":"Department of Physics, Gh. 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