Electromagnetic Fields on Fractals
High Energy Physics - Theory
2015-03-11 v1
Abstract
Fractals are measurable metric sets with non-integer Hausdorff dimensions. If electric and magnetic fields are defined on fractal and do not exist outside of fractal in Euclidean space, then we can use the fractional generalization of the integral Maxwell equations. The fractional integrals are considered as approximations of integrals on fractals. We prove that fractal can be described as a specific medium.
Cite
@article{arxiv.0711.1783,
title = {Electromagnetic Fields on Fractals},
author = {Vasily E. Tarasov},
journal= {arXiv preprint arXiv:0711.1783},
year = {2015}
}
Comments
15 pages, LaTeX