The hyperbolic field theory on the plane of double variable
Mathematical Physics
2015-02-26 v1 math.MP
Abstract
By analogy to the theory of harmonic fields on the complex plane, we build the theory of wave-like fields on the plane of double variable. We construct the hyperbolic analogues of point vortices, sources, vortice-sources and their higher-order multipole generalizations. We examine the physical aspects and the possibility of extension to the space of polynumbers of higher dimensions.
Cite
@article{arxiv.1502.06985,
title = {The hyperbolic field theory on the plane of double variable},
author = {Dmitry Pavlov and Sergey Kokarev},
journal= {arXiv preprint arXiv:1502.06985},
year = {2015}
}
Comments
51 pages, 27 figures