{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:12:17Z","timestamp":1760238737478,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2020,9,4]],"date-time":"2020-09-04T00:00:00Z","timestamp":1599177600000},"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 a multifractal paradigm of motion, Shannon\u2019s information functionality of a minimization principle induces multifractal\u2013type Newtonian behaviors. The analysis of these behaviors through motion geodesics shows the fact that the center of the Newtonian-type multifractal force is different from the center of the multifractal trajectory. The measure of this difference is given by the eccentricity, which depends on the initial conditions. In such a context, the eccentricities\u2019 geometry becomes, through the Cayley\u2013Klein metric principle, the Lobachevsky plane geometry. Then, harmonic mappings between the usual space and the Lobachevsky plane in a Poincar\u00e9 metric can become operational, a situation in which the Ernst potential of general relativity acquires a classical nature. Moreover, the Newtonian-type multifractal dynamics, perceived and described in a multifractal paradigm of motion, becomes a local manifestation of the gravitational field of general relativity.<\/jats:p>","DOI":"10.3390\/e22090987","type":"journal-article","created":{"date-parts":[[2020,9,4]],"date-time":"2020-09-04T11:24:24Z","timestamp":1599218664000},"page":"987","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Toward Interactions through Information in a Multifractal Paradigm"],"prefix":"10.3390","volume":"22","author":[{"given":"Maricel","family":"Agop","sequence":"first","affiliation":[{"name":"Department of Physics, \u201cGh. Asachi\u201d Technical University of Iasi, 700050 Iasi, Romania"},{"name":"Romanian Scientists Academy, 54 Splaiul Independentei, 050094 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alina","family":"Gavrilu\u021b","sequence":"additional","affiliation":[{"name":"Department of Mathematics, \u201cAl. I. Cuza\u201d University of Iasi, 700506 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Claudia","family":"Grigora\u0219-Ichim","sequence":"additional","affiliation":[{"name":"Department of Accounting, Audit and Financing, \u201cStefan cel Mare\u201d University of Suceava, 720229 Suceava, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4623-9175","authenticated-orcid":false,"given":"\u0218tefan","family":"Toma","sequence":"additional","affiliation":[{"name":"Department of Material Engineering and Industrial Security, \u201cGh. 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