The Mandelbrot set Paradox a Potential Infinity
We
have this paradox because the Mandelbrot Set is covered by a finite area, but
has an infinite outer boundary. In fact, there are no two distinct points on
the boundary of the Mandelbrot Set that can be reached from one another by
moving a finite distance along that boundary.
This paradox can be explained by
explaining a potential infinity of possibilities formed from a dynamic
universal geometry that human mathematics itself is based upon. In this theory
fractals are formed by the repetition of the quantum wave particle function or
probability function of quantum mechanics continuously collapsing and
reforming. A kind of geometrical and therefore mathematical repetition!
We
have infinite complexity upon the boundary of a fractal like the Julia
Sets. No
matter how much we magnify a fractal we will still see new patterns new images
emerging. In this theory this is because we have an interactive process the
fractals are only relative to actions of the mathematician. We have a process
of continuous creation or change creating an infinity of possibilities at every
degree and angle of creation that we can interact with turning the possible
into the actual!
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