Thursday, March 31, 2011

Uniformitarianism and the Fractal

Uniformitarianism: The key to the past can be found in the present.

I have a strong interest in geography and geology and it was here where I first read of Hutton’s uniformity, I soon found – after teaching development economics - that this principle maybe more universal, and may show in economics too.

The law of uniformitarianism reveals itself in the fractal. To describe a fractal, one would eventually cover the principle, only instead of reading as above - the key the past can be found in the present - it would read as the key to the present (scale) can be found in the small scale – or conversely the large scale, assuming. ceteris paribus approach, (holding all else constant or frozen).
In the below tree fractal, the new (present) cross section line b-b will share the same, (but different) as the old (past) cross section line a-a. Scale is the only difference - both in time (age) and size.
Fractal Demonstration of Uniformity

It is another insight from the fundamental characteristic of the fractal – the same but different – at all scales.
For example - which on the surface may seem a ridiculous - if you want to know how you were as a child, all you need to do see the children around us - the same may be said for growing old.
This may sound obvious, but it is only obvious because off the fractal nature of the universe.
Applications in Economics
If you want to know how it may have been to live in the past (social-economically speaking), say the middle ages, you need only search a country in the present that is developing and that has poverty to see it today.
A fractal thinker would see the child in the first application, and the developing country, as the same thing.
In any system you would not even have to find another country, it should be evident everywhere – every (healthy) system has diversity - rich and poor, young and old..change.

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