Numerical Calculation of the Rainich Space in the Vicinity of a Singularty

Authors: Ulrich E. Bruchholz, Horst Eckardt

The well known numerical method of approximating differential quotients by quotients of differences is used in a novel context. This method is commonly underestimated, wrongly. The method is explained by an ordinary differential equation first. Then it is demonstrated how this simple method proves successful for non-linear field equations with chaotic behaviour. Using certain discrete values of their integration constants, a behaviour comparable with Mandelbrot sets is obtained. Instead of solving the differential equations directly, their convergence behaviour is analyzed. As an example the Einstein-Maxwell equations are investigated, where discrete particle quantities are obtained from a continuous theory, which is possible only by this method. The special set of integration constants contains values identical with particle characteristics. Known particle values are confirmed, and unknown values can be predicted. In this paper, supposed neutrino masses are presented.

Comments: 19 Pages.

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[v1] 2017-07-18 12:52:38

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