68 research outputs found
Clifford Algebraic Remark on the Mandelbrot Set of Two--Component Number Systems
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.Comment: LaTeX, 27 pages, 6 fig. with psfig include
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