Universal Journal of Physics and Application Vol. 7(2), pp. 196 - 199
DOI: 10.13189/ujpa.2013.010219
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Influence of Fractal Embedding in Three-Dimensional Euclidean Space on Wave Propogation in Electro-Chromodynamics

Vitaly Okorokov^1,*, Elizaveta V. Sandrakova^2
1 Department of Physics, NRNU MEPhI, Kashirskoe Shosse 31, 115409 Moscow, Russia
² Department of Highest Mathematics, NRNU MEPhI, Kashirskoe Shosse 31, 115409 Moscow, Russia

ABSTRACT

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.

KEYWORDS
Fractals, Quantum chromodynamics, Diffraction, Cantor Discontinuum

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Vitaly Okorokov , Elizaveta V. Sandrakova , "Influence of Fractal Embedding in Three-Dimensional Euclidean Space on Wave Propogation in Electro-Chromodynamics," Universal Journal of Physics and Application, Vol. 7, No. 2, pp. 196 - 199, 2013. DOI: 10.13189/ujpa.2013.010219.

(b). APA Format:
Vitaly Okorokov , Elizaveta V. Sandrakova (2013). Influence of Fractal Embedding in Three-Dimensional Euclidean Space on Wave Propogation in Electro-Chromodynamics. Universal Journal of Physics and Application, 7(2), 196 - 199. DOI: 10.13189/ujpa.2013.010219.