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 are going to keep things as simple as possible. We can introduce real-world complications later.
First, we specify the environment through which our populations and their circulations must pass.
We need a source of solar radiation. So we imagine an ideal and eternal sun up in the sky. It is everlasting and changeless. Since it never changes in its state, its entropy also never changes.
But the sun must of course shine into something. So as in Figure 4.1, we imagine a cosmos whose free space has a temperature that is always at the absolute zero of temperature. It does not matter how much our sun shines, the cosmos absorbs all radiation. Our free space never gets any warmer. It is therefore like our sun and never changes in its state. Its entropy also never changes.
And now that we have some outgoing solar radiation pressure our biological populations can use all about their circulations, and a cosmos to hold them all, we can turn our attention to our earth.
An algebraic and geometric topology based proof.
A vector calculus based proof.
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