Agop Maricel, Irimiciuc Stefan Andrei, Ghenadi Adrian, Bibire Luminita, Toma Stefan, Petrescu Tudor-Cristian, Vaideanu Dorin, Rusu Cristina Marcela, Gavrilut Alina, Vasincu Decebal
Department of Physics, Gh. Asachi Technical University of Iași, 700050 Iași, Romania.
Romanian Scientists Academy, 54 Splaiul Independentei, 050094 Bucharest, Romania.
Entropy (Basel). 2021 Jan 26;23(2):148. doi: 10.3390/e23020148.
In the framework of the multifractal hydrodynamic model, the correlations informational entropy-cross-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's temporal measures in a more general manner. This work furthers the analysis published recently by our group in "Towards Interactions through Information in a Multifractal Paradigm".
在多重分形流体动力学模型的框架下，关联信息熵 - 交叉熵通过多重分形特定势来管理吸引和排斥相互作用。与之相关的经典动力学意味着哈勃型效应、伽利略型效应，以及在各种尺度分辨率下相互作用常数与多重分形度的依赖关系，而在相同动力学中插入相对论修正意味着广义洛伦兹型的多重分形变换、对这些变换不变的多重分形度量，以及对多重分形宇宙维度的估计。在这种背景下，分析了与标准宇宙学的一些对应关系。由于相同类型的相互作用也可以通过通常空间与双曲平面之间的调和映射得到，两种具有均匀和非均匀时间流的度量变得起作用，以更一般的方式类似于米尔恩时间度量的时间度量。这项工作进一步推进了我们小组最近在《迈向多重分形范式中通过信息实现的相互作用》中发表的分析。
