Clifford Algebraic Remark on the Mandelbrot Set of Two--Component Number Systems

Details Clifford Algebraic Remark on the Mandelbrot Set of Two--Component Number Systems Clifford Algebraic Remark on the Mandelbrot Set of Two--Component Number Systems

1995-07-25

arxiv.org/abs/hep-th/9507133v1

Adv.Appl.Clifford Algebras 6 (1996) 1-26

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 27 pages, 6 fig. with psfig included

Scientific paper

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.

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