I'll tell you why I think you're wrong about the randomness stuff, and someone who actually knows physics can correct me where I'm drawing faulty conclusions.
If we know enough about the physics governing the decay of Radium then we can write an algorithm describing it.
According to
Bell's Inequality, no, actually, you can't. Atomic decay
is random - randomwoc in your terminology - and it can't accurately be described as a function of "local hidden variables."
That is, given a number of radium atoms, you can determine statistically how many of them will have decayed over a given time, but there's no mathematical model you can create - using "hidden local variables", in this case, the idea that atoms have little individual timers that "go off" when it's time for them to decay - that will accurately predict
which atoms have decayed, because it isn't deterministic in that way. In other words Bell's Inequality proves that various apparently random quantum behavior
is actually random; it's not just pseudorandom output of an unknown, deterministic function.
Nonetheless, all this is essentially irrelevant to evolution. Darwin's model is that individuals are born with variances in physical characteristics, regardless of what adaptations are advantageous; then, over the course of their lifetimes, individuals with characteristics that are better-suited to the environment experience greater reproductive success than those individuals who are not as well-suited.
This is opposed to Lamark's model, where individuals are born largely the same among a cohort group, and then individuals
acquire characteristics throughout their lifetimes which they then pass on to their offspring; as well as opposed to special creation, which contends that organisms were created by God exactly as they now are, and have not changed throughout their species lifetime.
It's an objective fact that Darwin's model is substantially better supported than either of the other two. And with the rise of molecular analysis techniques we've come to learn
why individuals vary amongst themselves and from their parents: random mutations of their genetics.
Edited by crashfrog, : No reason given.