Jacques Mallah wrote:
>
> --- Russell Standish <R.Standish.domain.name.hidden> wrote:
> > Jacques Mallah wrote:
> > > First, telling me a formula for the measure
> > > distribution (if there were one) doesn't answer my
> > > question, because you didn't tell me how the Sh.
> > > eq. gives rise to that formula. Derive it.
> >
> > See my Occam paper. Projection (in a general sense)
> > is a postulated property of consciousness. Along
> > with linearity and time, these postulate lead to a
> > SE with a measure distribution as above.
>
> I saw your paper. It didn't make much sense.
>
> > > Since A|y> = y|y>, your statement was that
> > > M(y) = y <y|x>, which is not the usual formula.
> >
> > Sorry, I was thinking of projection operators. More
> > generally, one needs to renomalise, i.e.
> >
> > M(y) = <y|A|x>/<y|A|y>
>
> resulting in M(y) = y <y|x> / (y <y|y>) = <y|x>
> which is still the wrong formula since M(y) should be
> p(y) = |<y|x>|^2. Your paper seemed, from what I
> could tell, to have the same problem and thus give a
> wrong prediction.
OK, I've been hoisted by my own petard. The basic axioms of
probability require the state space to be a Hilbert space, which
implies the L_2 norm should be used, ie the modulus squared of the
above property. I skipped over this portion of it in my paper, so it
is not suprising I made a mistake. I also haven't opened a QM textbook
in 15 years.
However, it changes not a whit any other part of the paper.
>
> > A quantum history is a set of observed outcomes
> > (linked by time), governed by a quantum process (ie
> > Schroedinger equation).
>
> First, explain what you mean by "linked". Second,
> the SE governs a physical system, not a "set of
> observed outcomes".
Linked in the sense that points of a trajectory are linked. Not a
difficult concept.
In the Multiverse view, there are _no_ physical systems. The SE
governs evolution of the individual histories (or worlds if you like)
of the Multiverse.
>
>
> =====
> - - - - - - -
> Jacques Mallah (jackmallah.domain.name.hidden)
> Physicist / Many Worlder / Devil's Advocate
> "I know what no one else knows" - 'Runaway Train', Soul Asylum
> My URL: http://hammer.prohosting.com/~mathmind/
>
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>
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Dr. Russell Standish Director
High Performance Computing Support Unit, Phone 9385 6967
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http://parallel.hpc.unsw.edu.au/rks
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Received on Mon May 15 2000 - 20:29:31 PDT