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Originally Posted by renormalised
... in order to show that chaos theory/complexity has any benefit or application towards any science, you have to show that it applies to the theories and processes that those sciences already espouse.
If you can show that chaos has any application to fossilisation, sedimentation processes, ore forming processes, orogenesis, coal and oil formation, remote sensing, structural geology etc etc etc,
...
Like any theory, it's just a tool that can be applied in some situations, but not all.
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Fractals are the hallmarks of a Chaotic process.
Fractals are found in everywhere nature especially in geological structures:
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Examples include clouds, river networks, fault lines, mountain ranges, craters, snow flakes, crystals, lightning, cauliflower or broccoli, and systems of blood vessels and pulmonary vessels, and ocean waves. DNA and heartbeat can be analyzed as fractals. Even coastlines may be loosely considered fractal in nature.
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Take a look at
the list of random and natural fractals by Hausdorff dimension (the means for confirming a fractal)… one is called the
'Wiener' Process, or
'Brownian motion' .. the random drifting of particles suspended in a fluid, (a liquid or a gas), or the mathematical model used to describe such random movements, which is often called a
particle theory.
Brownian motion is the basis for all known sedimentary formation and
mineral deposition, as well as the basis for countless other geological processes.
The distribution of galaxy clusters is another fractal with a
measured (SDSS data) dimension approximately equal to 2. The surface of the human brain is also fractal. The surface of the human lung has been formed by a naturally occurring chaotic process of dimension approximately 3. Biology follows chaotic processes and leaves the evidence in the form of fractals. Life most probably emerged from chaotic processes .. the evidence remains in these very organ structures and cellular processes.
The same applies in geological structures. The evidence is there in fractal patterns. Geologists need to come out of the past, and start paying attention to modern techniques and the macro-scale evidence.
Cheers