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From: Russell Standish <R.Standish.domain.name.hidden>

Date: Tue, 16 May 2000 13:33:48 +1000 (EST)

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/
*

*>
*

*> __________________________________________________
*

*> Do You Yahoo!?
*

*> Send instant messages & get email alerts with Yahoo! Messenger.
*

*> http://im.yahoo.com/
*

*>
*

*>
*

----------------------------------------------------------------------------

Dr. Russell Standish Director

High Performance Computing Support Unit, Phone 9385 6967

UNSW SYDNEY 2052 Fax 9385 6965

Australia R.Standish.domain.name.hidden

Room 2075, Red Centre http://parallel.hpc.unsw.edu.au/rks

----------------------------------------------------------------------------

Received on Mon May 15 2000 - 20:29:31 PDT

Date: Tue, 16 May 2000 13:33:48 +1000 (EST)

Jacques Mallah wrote:

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.

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.

----------------------------------------------------------------------------

Dr. Russell Standish Director

High Performance Computing Support Unit, Phone 9385 6967

UNSW SYDNEY 2052 Fax 9385 6965

Australia R.Standish.domain.name.hidden

Room 2075, Red Centre http://parallel.hpc.unsw.edu.au/rks

----------------------------------------------------------------------------

Received on Mon May 15 2000 - 20:29:31 PDT

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