Recent content by bw

Actually, now that I think of it I did go to a seminar talk on quantum probability by a mathematician. He was basically trying to incoporate some sort of uncertainty principle type constriants to his system of axioms.I don't know if that led to any interesting result, he didn't seem to claim...

You mean like a classical phase space but instead of the Liouville flow you have discontinuous flow corresponding to state reduction(?) What information can you gain from that, as you can only "update" after you make a measurement(of course)?

No. "Traditional" probability theory has nothing to say about whether you can measure quantities simultaneously or not. Again that is a physics question. Probability theory only says IF the values of these observables are such and such, THEN blah blah...

One more thing. Statistics can't tell you whether a system is "truly" random or just behave as though it is(say, because of lack of information) It only offeres tests for sequences that appear to be "sufficiently random", but,a good pseudo random number generator(a completely deterministic...

This is exactly my point. I am not sure why you're bringing in evolutionary law in the first place.You can ask whether a certain mathematical/statistical model is appropiate in solving a physical problem. But that is the problem of the physicists, not that of the statistician or the...

I don't know if I understand your question correctly, but I'll try. According to usual probability rules, if A and B are two mutually exclusive events, then P(AUB) = P(A)+P(B). In words, if an event can occur via two mutually exclusive ways, then the probablity that the event occurs is the...

There are a lot of weird things and mystries in QM. But this is not one of them.What you discribed is not a measurement. A measurement, mathematically speaking is projecting a state vector onto a certain subspace of the Hilbert space(assumming finite dimesnion for simplicity) in question. If...

I think there are different ways to answer your question(as the formulation is not very precise). There are actually two uncertainty principles, which are conceptually very different, though they are often confused as the same thing in most physics textbooks. One version pertains to a...