by Niall Douglas. Last updated . This page has been accessed 9,640 times since the 28th October 2005.
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Here follow a
variety of empirically determined power rules, also known as power laws,
allometric rules or laws. I made this page because nowhere on the web seems
to have a definitive list of all of them, and while this page doesn't
contain them all either, it's better than anywhere else I know of.
If you know of a power rule not on this list, email me at webmaster2 <at symbol> nedprod. You'll need to provide me with at least one academic paper detailing the rule even if that paper isn't actually the original paper but rather a subsequent paper.
Where do these rules come from?
They come from the underlying fractal nature of the universe, which emerges from the chaotic attractors generated by the system of interconnections that is the universe no matter at what level you are looking at it. Depending on the form of the underlying fractal, you may get a certain guaranteed structure right across it that holds no matter what.
There are loads of these in physics, but here are an example two:
http://www.nslij-genetics.org/wli/zipf/index.html has a small list of power rules