home *** CD-ROM | disk | FTP | other *** search
- Path: sparky!uunet!mtnmath!paul
- From: paul@mtnmath.UUCP (Paul Budnik)
- Newsgroups: sci.physics
- Subject: Re: QM non-causal?
- Message-ID: <440@mtnmath.UUCP>
- Date: 16 Dec 92 16:42:40 GMT
- References: <1992Dec15.150424.5916@oracorp.com>
- Organization: Mountain Math Software, P. O. Box 2124, Saratoga. CA 95070
- Lines: 44
-
- In article <1992Dec15.150424.5916@oracorp.com>, daryl@oracorp.com (Daryl McCullough) writes:
- > [...] Statistical mechanics assigns a measure to (some of) the
- > sets of possible worlds.
-
- In classical mechanics we understand what the connection is between the
- possible worlds and the actual world. There statistics provide an objective
- measure of our imperfect knowledge of a single physical world.
-
- > Quantum mechanics can be given a similar interpretation, where instead
- > of assigning probabilities to sets of possible worlds, it assigns
- > probability amplitudes to sets of possible worlds. [...]
- > The fact that there are incompatible observables, such as S_x and S_y
- > (the spin of a particle in the x and y directions), simply means that
- > some sets of possible worlds, such as the set of all worlds in which
- > S_x = 1/2 and S_y = 1/2, are not assigned any amplitude whatsoever.
- > There is no reason that this should be any more upsetting than the
- > fact that classical measure theory fails to assign measures to some
- > sets. [...]
-
- It may not be upsetting but it is a direct conflict with the classical
- interpretation. It precludes the possibility of there being a single
- objective physical reality that the statistics refer to. Of course you
- do not need to use the classical interpretation, but if you do not you
- have to replace it with something else. What could that be? That
- there actually exist many different physical worlds or ... ?
-
- >[...]
- > (Note: this view of quantum mechanics is brand-new to me, and I'm not
- > claiming that I believe it. However, it sounds good.)
-
- I'm happy to hear you are not convinced yet. It only sounds confusing to
- me. The problem in quantum mechanics has always been how do we connect the
- mathematics of the theory to the observations in experiments. I do not
- think anyone has a resaonable answer to this question. I suspect that
- Everett only succeeds in obscuring the problem with some pointless
- mathematics.
-
- Bell had some harsh criticism of Everett in "Measurement theory
- of Everett/de Broigle's pilot wave" (in *Speakable and unspeakable in quantum
- Mechanics*, J. S. Bell, Cambridge). Bell suggests that Everett's ideas compare
- unfavorably with de Broigle's earlier work along the same lines. Do any
- of the supporters of Everett have an answer to these objections?
-
- Paul Budnik
-