Can evolution be disproven mathematically?

Question

The theory of biological evolution is based on change in the offspring of an organism either through combinations of traits inherited from the parent(s) or by mutation during reproduction. For the necessary number of changes to occur to progress from combinations of reproducing molecules to modern humans a certain number of generations must have occurred. For single celled life, generations occur rapidly but for more advanced organisms, there are far fewer generations and thus less opportunity for change. Throw in time for the Earth to cool, global catastrophes such as volcanism and asteroid and comet collisions, to cause rates of change to vary, and an evolutionary model could be constructed. Has this ever been done, and if so, what did it show? How many generations would be required for us to have evolved and has the Earth been in existence long enough for that many generations to have occurred?

Answer 1

The earth has been shown by radiometric methods of dating to be 4.6 X 10^9 years old, approximately. The dating methods are as diverse as K/Ar to mass spectrometer ( potassium argon ) and other elements with very long half life's. Not my area, but these tests are preformed in parallel, to contrast data and see that all correlates well. Generations are beyond my count, but the time has been much more than sufficient.

Answer 2

If you take the example of the paper referred to below, which uses 10,000 generations of E.coli to investigate benefical mutations and major changes from the original bacterium, you can extrapolate this to humans.

Say it takes about 30 years for a human generation to occur (rough estimate), and put it to 10,000 generations. that would be equivalent to about 300,000 years.

Now, Homo sapiens archaic, one the 1st erect ancestors of modern humans dates back about 400,000 years ago. Our own branch, Home sapiens sapiens is about 200,000 years old.
You can thus see that time is in favor of generating evolution (especially since generation time in those days must have been much earlier than the 30 years I chose at the beginning).
Furthermore, as you said, the influence of environmental changes impact has a role to play in evolution.
It is visible from all the different kinds of ppl on this world: why are African dark skinned? Why do Asians have Slanted eyes? These are evolutionary adaptations to habitat.

For a mathematical formula to mutation in E. coli refer to the site below.
Hope this helped.

Answer 3

While I'm not sure of any specific model in existence, fossil records give fantastically accurate models of evolution over extended periods.

Unfortunately for evolution, to date we still lack records of a number of species that Darwin himself said would be needed to prove the theory of evolution without question, and as such it remains just that, a theory.

Answer 4

that question is like asking does intelligant design dissprove science?

Answer 5

http://evonet.sdsc.edu/evoscisociety/what_is_evo_biology.htm

you can ask richard dawkins in this forum and he will respond:
http://richarddawkins.net/forum/