So far evolution have been described as a set of statements. This paper tries to introduce math in evolutionary science.
To be absolutely clear, this paper does not dispute an existence of evolution phenomenon and assumes it in full.
- the process by which different kinds of living organisms are thought to have developed and diversified from earlier forms during the history of the earth. synonyms: Darwinism, natural selection. Or
- the gradual development of something, especially from a simple to a more complex form.
Let me offer another version of this definition:
“The systems that did not survive in a transition from one state to another will not continue its existence.”
Let’s consider what happens when a dynamic system, such as a live organism goes through 2 scenarios. In the first scenario, a living system to be used interchangeably with dynamic system, encounters an adverse change in environment, adapts to it and in the end survives, passing to survivors the changes. In the second scenario the system does not survive and undergoes a transformation typical to second law, where it decays into separate parts increasing the entropy.
The simplest explanation that the first scenario creates more entropy over the long run. The living system will be more organized but during it’s lifespan it will consume and metabolize food and producing heat and waste. In the end it will die, but in perpetuity, assuming it will exist forever it will produce infinite amount of heat.
So second law of thermodynamics should be amended by measuring entropy in the final state.
Let’s imagine a system of evolving rules, kind of enhanced cellular automata, or supercell automata, SCA if I may. It’s similar to a regular cellular automata described by Steve Wolfram (http://www.stephenwolfram.