1206.0444 (V. A. Okorokov et al.)

Embedding of Cantor discontinuum in three-dimensional Euclidean space
and fractal electro-chromodynamics    [PDF]

V. A. Okorokov, E. V. Sandrakova

In this paper two zero-dimensional compact sets with equal topological and fractal dimensions but embedded in Euclidean space by different ways are under study. Diffraction of plane electromagnetic wave propagated and reflected by fractal surfaces is considered for each of these compact sets placed in vacuum. It is obtained, that the embedding of compact influences on characteristics of wave in final state. Thus, the embedding of Cantor set in Euclidean space is additional property of a fractal which can be important both for applications of fractal electrodynamics and for physics of strong interactions.

View original: http://arxiv.org/abs/1206.0444