Brian, PRODUCT, not SUM in the (your) following paragraph. Everybody thinks things should be sums...products are usually the more powerful technique, as is the case here. the PRODUCT of the UNCERTAINTY in each value is at least (the subtle QM value). So, to reiterate from earlier, if you know the position exactly (uncertainty of ZERO), then what can you multiply by zero to get (QM value)?? Only choice is something infinite.
Hoo boy, apologies to anybody that had a headache already...
Zero times something infinite = something finite and nonzero...sort of.
BUT, with corrections, I think you have the gist of it...
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BDF said:
Heisenberg's principle- yep, I believe that one is correct and fitting. As I remember, you can only know the position and speed of a particle to a sum of 1, so if you are 50% certain of its speed, you only have a 50% certainty of knowing where it is (at the exact same time). No problem- the act of measuring the particle causes a change in that particle's speed and / or position. Fine and well. But the principle has become the basis to build upon until the things that result are simply not useful or representative. I'll come back to that one in a second though.
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About the following paragraphs...
Pretty subtle distinction being made here about QM. If you are saying you don't believe it exists, that's fine. But you split the hairs pretty thin, IMO.
QM has the interesting attribute of being the theory responsible for the most successful predictions in the entire history of theories. That is a pretty good track record. Lots of folks DON'T LIKE QM. So what? IT WORKS. Computers, cell phones, etc.
And, for my money you nail the biggest problem of QM. QM deals with the tiny...General Relativity deals with the immense...and what modern theory deals with ordinary sizes and speeds? NONE. For those of you following along at home, QM deals with electrons and atoms, BUT does not predict the behaviour of large objects. AT ALL.
Einstein's GR deals with planets and solar systems and galaxies, but does not predict the behaviour of small objects. AT ALL.
The irony is that these are the most successful, most terrifyingly mathematical theories in history... (and I have taught them both, so I know)...and yet, there is this gigantic GAP, this realm of sizes where neither theory applies. THIS INCLUDES THE SIZE OF ORDINARY OBJECTS!! SO these great theories need to be joined by either another (completely new, as yet undreamt of) theory to bridge the gap (my expectation)...OR ONE OF THEM IS WRONG, which is what Brain was alluding to in the paragraph below.
I don't know that one of QM and GR must be incorrect, even though that is the popular thing for clever folks to say at this point in time...there is no scale at which both are compatible, that is certain. Oh, and (again, for the home audience) "TOE" stands for "Theory of Everything", which is the usual name that postulated bridge theory is given. Every physicist worth a nickel is said to be chasing down the TOE rabbithole. There may be nothing there. I agree that SOMETHING has to give.
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More BDF:
I did not say that quantum mechanics does not work, just that I do not believe it exists. Yeah, that one needs a little fleshing out: I believe many of the facets are correct but again, the overall concept is basically flawed, especially because it will not scale. Certainly there is a problem with relativity and Q.M.; both may be but one MUST be incorrect. I call Q.M. incorrect and will go with relativity. Eventually the T.O.E. will be found that is correct but for now I consider Q.M. an interesting and occasionally useful.... parlor trick. I agree physics really is a series of laws that must be obeyed or nothing makes any sense (and I reject that choice), it is just that we do not yet understand all of the rules and have some that we think we understand incorrect. Besides all that, I was never all that big a fan of Bohr's thought process as I understand it- I am much more of a Fermi guy. Hey, for what it is worth, I absolutely and totally reject both Big Al's and the Presbyterian's concept of determinism. :-)
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saxman
P.S. Oh, and I STILL maintain that you can NEVER expect probability to give ANY exact predictions, re: cards. Whether you have three or 312. The TRUTH of the exact order of cards is beyond the parameters of probability. Its predictive power comes in the ability to understand every possible arrangement of cards (say, the remnants of six decks in your shoe after 100 known cards are gone), and give you advice accordingly.
Probability sucks at giving advice about one card, one time. But if you are going to play 100 hands, it works very, very well.