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

Bertfried Fauser

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arXiv · hep-th/9507133

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

Bertfried Fauser

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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.

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Bertfried Fauser. 1995-07-25. Clifford Algebraic Remark on the Mandelbrot Set of Two--Component Number Systems. https://arxiv.org/abs/hep-th/9507133

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