Condensed Matter

New Fractal Framework for Material Science and Engineering

Authors: A. D. Izotov, V. O. Izotova, F. I. Mavrikidi
Comments: 17 Pages.

In present paper we accept the dynamic nature of fractal geometry as the equipoise of two universal formative processes, which are generated by two classes of forces in nature - forces of attraction, convergence and repulsion, divergence. This allows to introduce the divisibility of matter as a new degree of freedom in creating materials with desired bulk properties. It is shown, that this step connects previously disparate mathematical branches, as counterparts of fractals, into synthetic theory of matter. In the last section, a hypothesis about continuation of model to mathematical extent of Periodic Law, restricted by interpretation of nature of quantum numbers, is described. All mathematical structures are considered in parallel to basic notions of materials science.
Category: Condensed Matter