On 11/17/2017 8:35 PM, [email protected] wrote:


On Friday, November 17, 2017 at 7:18:23 PM UTC-7, Brent wrote:



    On 11/17/2017 6:08 PM, [email protected] <javascript:> wrote:


    On Friday, November 17, 2017 at 6:41:43 PM UTC-7, Brent wrote:



        On 11/17/2017 4:04 PM, [email protected] wrote:


        On Friday, November 17, 2017 at 2:38:40 PM UTC-7, Brent wrote:



            On 11/17/2017 1:17 PM, [email protected] wrote:
            *I think "must" is unwarranted, certainly in the case
            of the MWI. Rather, it ASSUMES all possible
            measurements must be realized in some world. I see no
            reason for this assumption other than an insistence to
            fully reify the wf in order to avoid "collapse". Same
            situation in String Theory; no "must"; simply other
            possible universes in the landscape. Do you really
            think that when you pull a slot machine and get some
            outcome, the 10 million other possible outcomes occur
            in 10 million other universe? Seems ridiculous to me.*

            The problem is a conflict:

            (1) If the wave-function collapses when does it do it
            and what is the process.



        *The fact that we have unsolved problems, does not suggest
        we should grasp as straws such as the MWI. *

            Does a human being have to look at the record?  Is
            simply having a recorde enough?  But then what
            constitutes a record?  Does it have be made of more than
            100 atoms, more than 10, more than 1?  How is the record
            created, if not by evolution of the Schrodinger equation?


        *If you consider a specific experiment, say the double slit
        using micro objects like electrons, all you need is a
        recorder, any recorder, and if it is designed to determine
        which-way, the interference is destroyed. Thus, you don't
        need humans or consciousness in any form to collapse the wf.
        Feynman discusses this and it's quite conclusive IMO.
        *

        But you need to "collapse" it somehow by measuring the
        position of the electrons - otherwise there is no
        interference pattern.  So the question remains, what is a
        measurement?  If you replace the film by an array of atoms
        and you plan to measure where the electron lands by which
        atom it strikes and ejects from the array, you will them have
        to make a second measurement to see which atoms are missing. 
        So "measurement" must include more interaction than that;
        enough interaction to constitute a "record". But that seems
        to just reword the problem.  How much of a "record"? and what
        constitutes a record?


    *I think these details can be worked out on a case-by-case basis.
    But the main point seems solid; no human observers or
    consciousness needed to produce interference, which is tantamount
    to collapse. Do you agree to that? AG
    *

    I agree that a human observer is not necessary...even a Trump
    supporter would suffice.


            (2)If it's created by a splitting of the world, then you
            still have the same questions with "splitting" in places
            of "collapse" except that the SE does provide the
            evolution.  But then in the Schrodinger cat experiment
            the world is splitting */continuously/*.

        *
        *
        *IMO, the problem posed by the cat is a macro object in an
        unthinkable superposition of Alive and Dead simultaneously.
        But if the object is macro, won't the interference terms be
        vanishingly small, so small that the unthinkable conclusion
        does not occur in the lifetime of the universe? IOW, FAPP
        there is no superposition and thus no enigmatic superposition.*

        Forget the cat.  It's the radioactive atom whose emission
        will break the vial that causes the continuous splitting of
        the world: decay at 0:00...0:01...0:02....  And is FAPP
        enough?  There are going to be intermediate cases in which
        there are 10 dof instead 1e30 dof, and the superposition can
        be eliminated by a change of basis.

    *
    *
    *FAPP is probably not enough. What is the change of basis that
    eliminates the superposition? For the singlet state, Bruce says
    there is none and that I may have misunderstood your earlier
    comments that every superposition can be eliminated by a change
    of basis. TIA, *

    No, Bruce was thinking of what /*local */operator could be
    implemented.  In theory any pure state can be an element of a
    basis.  So if the superposition is pure it will an eigenstate of
    some operator....although in general it will often be one that is
    impractical to implement.

    Brent

*
*
*If you can remove the superposition from any pure state by a change of basis, *

Just because one exists doesn't mean you can determine what it is. The no-cloning theorem says there is no measurement by which you can determine the state of an arbitrary system.

*why not do it for the cat and maybe the problem will go away? AG
*

Because the cat, being macroscopic, doesn't have a pure state.  The cat /plus everything the cat is entangled with/ has a pure state, but that is an impossibly complex and growing system.  Even for a small system for which we might be able to calculate its orthonormal basis states (e.g. all the excited modes of a water molecule) it will generally be impossible to construct an apparatus that will measure in that basis.  The basis we can actually measure in will generally include averaging over some of the excitations.

Brent


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