Welcome to the fray PinkPixie, and I wish you joy on your search.
In my paper I am trying to make the argument that the Sigmoid Curve is a physical law created by God, just like gravity or Newton's three laws.
Care must be taken to avoid assuming a mathematical model is a true reflection of reality, as math can only reflect what is already there, the computations can generate predictions ... until one goes wrong.
... just like gravity or Newton's three laws.
Which has been superseded by relativity, especially where it fails to predict things like light bending around a star even though photons have no mass (space curves instead).
The great thing about science is that whenever a prediction goes wrong, that you start over with your evaluation and build a new model that includes the new data (it is accumulative).
Thus we see that the old view of the cambrian "explosion" is really a reflection of two things: some of the first bodies hard and large enough to fossilize, a punk-eek dispersal of such a beneficial form, and lots of mysterious life before hand that may be equally if not more diverse.
Enjoy.
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