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- Path: sparky!uunet!mtnmath!paul
- From: paul@mtnmath.UUCP (Paul Budnik)
- Newsgroups: sci.physics
- Subject: Re: Hidden variable theories, was: Uncertainty Princi
- Message-ID: <272@mtnmath.UUCP>
- Date: 12 Sep 92 15:04:19 GMT
- References: <1992Sep5.071519.16554@asl.dl.nec.com> <1992Sep12.020632.9597@galois.mit.edu>
- Organization: Mountain Math Software, P. O. Box 2124, Saratoga. CA 95070
- Lines: 71
-
- In article <1992Sep12.020632.9597@galois.mit.edu>, jbaez@riesz.mit.edu (John C. Baez) writes:
-
- > Your latest post confirms that we have no argument over facts, just
- > massive disagreements about vocabulary, which reassures me that I can
- > let the matter rest.
-
- Good, but I think it will be worthwhile to confirm this by trying to state
- the facts clearly.
-
- 1. Bell's inequality is a mathematical result (it does not involve
- quantum mechanics) that any local theory must satisfy.
-
- 2. Quantum mechanics predicts the equality is violated. It is possible
- to test this experimentally.
-
- 3. In an experimental tests of Bell's inequality manipulations of a local
- polarizer must instantaneously influence results obtained by a distant
- observer or Bell's inequality cannot be violated.
-
- 4. This influence is not detectable at the time it occurs but is
- detectable at a later time by comparing a series of polarizer angles
- and detections observed at both sites.
-
- The arguments about this center on item 3 with item 4 being used to dismiss
- its significance. Experimentally detectable influence, by standard definitions,
- involves the transfer of information and, if it occurs instantaneously,
- violates either causality or Lorentz invariance.
-
- Do you disagree with item 3?
-
- > >I would appreciate some references. In everything I have read in respected
- > >journals there is no disagreement that either causality or Lorentz invariance
- > >is violated. There is a lot of garbage written in popular accounts
- > >of this subject.
- >
- > See any book which explains the various axiomatic approaches to quantum
- > field theory. ... There
- > are, in fact, two distinct notions of causality in quantum field
- > theory, "microscopic causality," which is called "Local commutativity" on
- > p. 597 of the book cited above, and another sort of causality
- > sometimes called the "diamond property," also discussed on the same
- > page.
-
- Why is there any need to introduce new definitions of a term that has
- a well established meaning? Of course you may need to introduce new
- concepts that are variations or related to the traditional term, but
- why redefine it in two different ways. Doesn't this make things
- needlessly confusing and lead to pointless arguments?
-
- >
- > >Regarding the rest of your message, there is no absolute contradiction
- > >in quantum mechanic only some very unlikely predictions.
- >
- > Unlikely, eh? Care to state odds at which you'd bet some real money?
- > I'm already looking forward to 50 bucks from Dave Ring when his
- > "solid evidence for supersymmetry" fails to materialize. (Say - I
- > forget when the deadline on this bet was! I don't want to let him
- > weasel out via indefinite postponement!) I look forward to the day
- > when an improved Aspect-type experiment rules out a Lorentz-invariant
- > wavefunction collapse theory by giving a real violation of Bell's
- > inequalities - but I'd look forward to it even more if I knew I would
- > make some money off it!
-
- I will be happy to bet you $50 that by the year 2005 there will be
- substantial experimental evidence that there is a space-like separation
- between correlated events that would otherwise violate Bell's
- inequality. I think the odds are very much in my favor and you think
- they are very much in you favor, so I would suggest an even wager is
- appropriate.
-
- Paul Budnik
-