metaphysics from a web site: but I've read alot on this in physics and math
Fractal metaphysics is a general term encompassing all adaptations of fractal geometry to areas that are primarily non-physical and non-mathematical. Usages of this sort are controversial, particularly among mathemeticians.
There are three major types of fractal metaphysics:
Contents
1 Fractal Mysticism
2 Fractal Metaphor
3 Fractal Philosophy
4 See Also
5 External Links
Fractal Mysticism
Fractal mysticism is the loosest and least rigorous of the three types. In it, fractal artworks are used as a framework for spiritual journeys, much in the same way as are mandalas. The ideas, terms and concepts of chaos theory are used as inspiration, but little effort is made to create solid correlations.
Recursive shapes such as fractals have been a favorite of mystics for quite a long time, as (for example) the "wheel within a wheel" of the Biblical prophet Ezekial or the successive decompositions of yin and yang in Taoism.
Fractal Metaphor
The term "irrational" can be applied to a person or an action, but comes from the ancient geometric concept of ratio. In the same way, the new geometry of chaos has given new terms and concepts (such as "strange attractor") that can be applied profitably outside of their field of origin.
Fractal Philosophy
Finally, there is a small but growing group of thinkers who are trying to apply fractal geometry and chaos mathematics directly and rigorously to non-physical ideas such as virtue, motivation, community, purpose, social structure and so forth.
In Plato's classic work The Republic, the noble city is described as having the same tripartite structure as the soul of a single noble inhabitant of that same city. This can be described geometrically as a large shape made of small copies of itself --a description that also holds true for many fractals such as the Sierpinski gasket.
from the site:
http://encyclopedia.laborlawtalk.com/Fractal_metaphysics