>
> -- Russell Standish <R.Standish.domain.name.hidden> wrote:
> > A lot of things have measure, not just observer
> > moments. For example, all strings in the Schmidhuber
> > plenitude have a measure given by the
> > Universal Prior. Not all strings are observer
> > moments.
>
> You're playing with words. The point is a measure
> distribution must be measure *of something*. Thus it
> makes no sense to speak of "the measure distribution"
> given a wavefunction, unless you state what it is
> measure *of*. The only measure distribution we have
> been dealing with in that context is of
> observer-moments. I call that M(c) where c is a label
Not at all true. A lot of discussion has taken place in this list re
measure of strings in a Schmidhuber plenitude.
Measure is always taken to be the strength or density of a particular
object from within an ensemble (continuous or otherwise) of
objects. It is readily related to a sampling probability when the
measure distribution is normalisable.
Schroedinger's equation gives a measure distribution for outcomes of
particular observables, given certain constraints (a Hamiltonian and a
boundary condition). An observer moment must be the conjunction of
some vast array of observables having particular values.
> for an observer-moment, which I take to be a
> computation step.
Taking observer moments to be a computation step quietly introduces a
whole slew of assumptions, I wouldn't like to take on faith. Tread
carefully.
My own preference is to talk about a quantum history, which under some
(perhaps rather flaky) assumptions, could be identified with the
concept of observer moment.
Cheers
>
>
> =====
> - - - - - - -
> 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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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
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Received on Thu Apr 27 2000 - 17:38:55 PDT