RE: Predeterminism and parallel universes

From: Dr. Blake Nelson (bnelson301@yahoo.com)
Date: Thu Jul 03 2003 - 09:20:08 EDT

  • Next message: Glenn Morton: "RE: Predeterminism and parallel universes"

    Not that it matters, but generally, it is much easier
    to get included in an edited volume, especially since
    this was a symposium and I would imagine *every* paper
    presented at the symposium will be in the volume, than
    it is to get in a top-tier journal.

    Of course, since I don't have a "horse in this race"
    (i.e., I have no position on the underlying debate), I
    probably should just lurk quietly.

    --- Glenn Morton <glennmorton@entouch.net> wrote:
    > Hi Richard, you wrote in the last message:
    >
    > >How Tegmark ever got his article past peer review
    > is beyond me. When I
    > first looked at
    > >his basic claim, I knew it was false. It took only
    > minutes to prove it
    > false.
    >
    > I have done some very simple research. Tegmark has
    > gotten his ideas past
    > peer review. A more technical article will appear in
    > Science and Ultimate
    > Reality: From Quantum to Cosmos, honoring John
    > Wheeler's 90th birthday,
    > J.D. Barrow, P.C.W. Davies, & C.L. Harper eds.,
    > Cambridge University Press
    > (2003)
    >
    > Having been involved in trying to get an article
    > published in such a volume,
    > I know they are peer-reviewed. The article can be
    > found at:
    >
    >
    http://arxiv.org/PS_cache/astro-ph/pdf/0302/0302131.pdf
    >
    > If you are correct, then I would challenge you to
    > write a letter or article
    > to a PEER-REVIEWED physics journal pointing out the
    > simple and supposedly
    > stupid error that Tegmark made. It would be good
    > for you to go through the
    > same peer review so that we can be sure that your
    > criticisms are valid.
    >
    > You further wrote in this message:
    >
    >
    > >-----Original Message-----
    > >From: asa-owner@lists.calvin.edu
    > [mailto:asa-owner@lists.calvin.edu]On
    > >Behalf Of Richard McGough
    > >Sent: Wednesday, July 02, 2003 5:52 PM
    >
    > >Glen,
    > >
    > >You seem to be repeating Tegmark's mistake. The
    > fact that there
    > >are a finite number of eigenstates corresponding to
    > an energy less
    > >than 10^8k does not mean that there is not an
    > infinite number of
    > >distinct physical configurations corresponding to
    > linear
    > >superpositions of said eigenstates. You failed to
    > address my
    > >points and my calculations. If a single electron
    > can exist in a
    > >continuous infinity of states, do you really think
    > a tiny little
    > >finite number like 2^10^118 really represents all
    > the physical
    > >configurations possible in a Hubble volume with
    > 10^50 interacting
    > >particles? I repeat, Tegmark's calculations are
    > patently absurd.
    >
    > Gee, then I guess, G.F.R. Ellis, a 'minor' figure in
    > cosmology today, makes
    > the same mistake. His views, explaind by George
    > Gale, are as follows:
    >
    > "The simplest spatial MWT is developed in a series
    > of papers by G. F. R.
    > Ellis and various colleagues. In these articles
    > Ellis has defended the idea
    > that the observational evidence suggests that we
    > live in a low density,
    > hyomogeneous, open and infinite universe. In the
    > most recent article, he
    > and Brundrit consider the possibilities of life in
    > such a universe. On the
    > assumption that we take seriously the conditions
    > specified, especially
    > homogeneity and infinity, then 'we can obtain
    > non-zero probabilities for
    > occurrences of conditions within any specified
    > finite neighborhood of [-=
    > with any specified degree of similarity to] those on
    > earth.' Indeed the
    > similarity collapses to identity, since 'it is
    > highly probable that there
    > exist infinitely many worlds on whcih there are
    > 'duplicate' populations to
    > that on our own world.'" George Gale, "cosmological
    > Fecundity, Theoreis of
    > Multiple Universes," in Modern Cosmology and
    > Philosophy, ed. by John Leslie
    > (another minor figure in cosmology), (Amherst:
    > Prometheus Books, 1998),
    > p.201
    >
    > And so dows
    > >
    > >Re: Peer review. Ooops, I didn't realize sciam was
    > not peer
    > >reviewed. Of course, the general principle implied
    > by peer review
    > >is really what I had in mind, which is that
    > somebody who knew
    > >first year quantum physics should have mentioned
    > that physical
    > >states generally involve infinite superpositions of
    > eigenstates.
    >
    > Well I have had first year quantum physics. And what
    > I read doesn't agree
    > with what you are saying. there is only an infinite
    > summation if there are
    > an infinite number of different states for the
    > system. If there are a finite
    > set of states then the summation is finite, e.g., a
    > electron two-slit
    > experiment which has only two states. indeed the
    > pattern seen is due to the
    > superposition of exactly 2 states. The summation is
    > finite. Thus, I suspect
    > you are assuming what you wish to prove, i.e. you
    > assume there are an
    > infinity of states and then criticise others for not
    > accepting your
    > assumption.
    >
    > I would quote Eisberg and Resnick,
    >
    > "Just as we are accustomed to adding wave function
    > (E1+E2=E) for two
    > superposed electromagnetic waves whos resultant
    > intensity is given by E^2,
    > so we shall add wave functions for two superposed
    > matter waves (psi1 +psi2
    > =psi) whose resultant intensity is given by psi^2.
    > That is, a principle of
    > superposition applies to matter as well as to
    > radiation." Robert Eisberg and
    > Robert Resnick, "Quantum Physics of Atoms,
    > Molecules, Solids, Nuclei, and
    > Particles, ((New York: John Wiley and sons) p. 64
    >
    > Note that the summation was finite, not infinite.
    > And also remember from
    > first year quantum the concept of
    > distinguishability? If two protons are in
    > the same quantum state, they are indistinguishable?
    > What Tegmark did was
    > count the distinguishable states. Here is what he
    > says:
    >
    > "This is an extremely conservative estimate, simply
    > count-
    > ing all possible quantum states that a Hubble volume
    > can have
    > that are no hotter than 10^8K. 10^115 is roughly the
    > number of
    > protons that the Pauli exclusion principle would
    > allow you
    > to pack into a Hubble volume at this temperature
    > (our own
    > Hubble volume contains only about 10^80 protons).
    > Each of
    > these 10^115 slots can be either occupied or
    > unoccupied, giving
    > N = 2^(10^115) 10^(10^115) possibilities, so the
    > expected distance to
    > the nearest identical Hubble volume is
    > N^1/3~10^(10^115)
    > Hubble radii  10^(10^115) meters. Your nearest copy
    > is likely to be
    > much closer than 10^(10^29) meters, since the planet
    > formation
    > and evolutionary processes that have tipped the odds
    > in your
    > favor are at work everywhere. There are probably at
    > least
    > 1020 habitable planets in our own Hubble volume
    > alone." Max Tegmark,
    > "Parallel Universes," in Science and Ultimate
    > Reality: From Quantum to
    > Cosmos, honoring John Wheeler's 90th birthday, J.D.
    > Barrow, P.C.W. Davies, &
    > C.L. Harper eds., Cambridge University Press (2003)
    >
    > I would also point out that a first year quantum
    > book speaking of a system
    > of particles (which most assuredly our region of the
    > observable universe is)
    > does not engage in an infinite summation of wave
    > functions. David Saxon,
    > Elementary Quantum Mechanics, (Cambridge:Holden Day,
    > 1968), p. 245 says:
    >
    >
    === message truncated ===

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