Evolution any many other processes are tough to model mathematically: I agree with you on that. When mathematical models are sophisticated enough to handle easy things like global warming let me know and maybe we can take a try at the theory of evolution.
The problem is, you have to account for all of the important variables, and get all of the relationships and assumptions correct. To date, we have only the simplest of models and there is no reason to place any confidence in them. This goes especially for the creationist models which purport to say evolution is mathematically impossible. They aren't worth the bits they are made of.
When you leave mathematical modeling and examine theories and the data supporting them, you find that there is a huge amount of data from a wide range of sciences all pointing in the same direction--these are subsumed into the theory of evolution.
I realize you disagree for religious reasons, but evolution is one of the most researched and best supported theories we have.
I agree that evolution is supported by a wide range of sciences and disciplines, however, it fails to garner the support of physics, which in my opinion, is very significant.
The reason I entered this thread is because people tend to take liberties with analogies, and sometimes it has a profound effect upon the discussion. In the phenomena cited earlier, there is an exchange of energy, making it supportable by physics. Now, unless someone wants to claim that there is an exchange of energy between organisms and natural selection, then I don't see how physics could possibly support evolution...let alone lend itself to a mathematical model.
I realize you disagree for religious reasons...
Yes, I do...but my criticisms are not reflective of that. Even if they were though, a valid criticism is just that, and should be treated with respect, and answered with reason...not that I'm saying that is the case here.
...evolution is one of the most researched and best supported theories we have.
You might be right...and it still could be wrong.
Name me a process, other than evolution, which can not be modelled mathematically, but is also a mechanism within a theory, and recognized by science.