Clifford Algebraic Remark on the Mandelbrot Set of Two--Component Number Systems
High Energy Physics - Theory
2007-05-23 v1
Abstract
We investigate with the help of Clifford algebraic methods the Mandelbrot set over arbitrary two-component number systems. The complex numbers are regarded as operator spinors in D\times spin(2) resp. spin(2). The thereby induced (pseudo) normforms and traces are not the usual ones. A multi quadratic set is obtained in the hyperbolic case contrary to [1]. In the hyperbolic case a breakdown of this simple dynamics takes place.
Keywords
Cite
@article{arxiv.hep-th/9507133,
title = {Clifford Algebraic Remark on the Mandelbrot Set of Two--Component Number Systems},
author = {Bertfried Fauser},
journal= {arXiv preprint arXiv:hep-th/9507133},
year = {2007}
}
Comments
LaTeX, 27 pages, 6 fig. with psfig included