by means of relative selection
Using the Weyl and Ricci tensors to prove Darwin’s theories of competition and evolution
and to refute creationism and intelligent design
We shall now prove to you:
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We will do these things simply, logically, and deductively.
We will even provide you with four equations to make the case.
We will also demonstrate that all biological organisms are subject to the three constraints upon biological populations which we will state. We then further prove that they abide by four laws of biology, and four maxims of ecology, which we will also state.
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We have to start all this somewhere.
So … we ask you to accept the following ‘common notion’:
Things that are equal to the same thing are also equal to each other.
That common notion is the basis for the proposition that:
If a Body A be in thermal equilibrium with two other bodies, B and C, then B and C are in thermal equilibrium with one another.
The Proposition can be extended to embrace many other bodies. As we can see in Figure 0.11, the Body A it refers to is, of course, a thermometer. It also really doesn't matter how different the various bodies are. If the readings we take on our thermometer for Bodies B, C, and D match each other, then they are all at the same temperature as our thermometer or our Body A. This is a fundamental fact of life and one of the four laws of thermodynamics (sometimes called the zeroth law, sometimes also called the fourth law).
And that's about all we need to prove that a population free from Darwinian evolution is impossible.
If you accept the above common notion and the zeroth law derived from it, then the four laws, four maxims, and three constraints will inevitably follow. The job is done.
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Oh! … one last thing!! We also ask you to accept the existence and power of gravity.
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So … let's get started so you can see for yourself how straight forward it all is.
An algebraic and geometric topology based proof.
A vector calculus based proof.
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