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Evolution and the fractal

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Evolution and the fractal

Many references from leading biologists and mathematicians suggest that evolution has (often) found fractal ways or has used fractal ways. 
This is totally misleading. Evolution is a feature of the fractal. Evolution is always, and everywhere, fractal.  




Synonyms

If evolution is defined as change through time and fractality: as the 'same' but 'different' - at all scales
Then, evolution is a (universal) fractal process, and it can be demonstrated in the fractal - it is a law of the fractal. 

Evolution records the fractal definition's chaotic or 'different' component, where the object in question is the 'same' component, and time is the scale.

Evolution can be seen in the fractal and is a core component of its mechanics: a universal repeating pattern or algorithm. From the simple to the complex, there is an emergence, as demonstrated in the following 'development' of the Koch snowflake fractal. In principle, as the fractal is infinite, so is evolution.



The relationship between evolution and development:
Development may be seen as a 'short run' or short-term observation - the development or emergence of an object, from iteration 1, in the fractal, to fractal equilibrium - iteration 6: the development of a tree, for example.

Evolution may be seen as a long-run observation, tracing the 'development' of the object or tree through (greater) time, and it is best demonstrated by the fractal zoom.  Evolution shows the 'chaos', the complexity of the influences on the 'developed' object.

Evolution and development are, fractally speaking, of the same principle and may well be indistinguishable from each other without a (time) scale reference. The tree becomes the tree of life. 'Nested' development within evolution.

The fossil record traces or records these changes through time—it is a fractal record, cataloguing the infinity of ('different') combinations.

Can something become fully evolved in the long run, as we can say something can be fully developed?
Yes and no. In the same way, as there are limits to (fractal) growth and development, the object will evolve to a formed shape, but no, because there will always be change, an infinity of changes - never one object the same.
Evolution and Quantum Mechanics:
An analysis of the fractal shows that evolution and quantum mechanics are related. More to come.

 Evolution a fractal wave?
The diagram(s) below demonstrates a change to one of the triangles during the development of the fractal.
Insights from this are many:
A pulse, or wave, is demonstrated - is evolution a wave phenomenon?
Branching is also demonstrated, which is key to evolution.
More to come.




I am very interested in Biology, particularly the fossil record. Here is one of my favourite lectures, where the only word left out is fractality. The Professor describes key principles of economics at the smallest of scales. It is worth a listen.

clip Lecture 2:
Professor Paul Rainey FRSNZ, Massey University
Professor Rainey paints a picture of life's evolution from the perspective of major evolutionary transitions, including that from solitary organisms to societies.
Recorded 28 July in New Plymouth

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