# [time 285] Re: [time 279] Re: [time 278] Re: [time 276] [Fwd: Fisher information]

Fri, 7 May 1999 22:46:41 +0900

Dear Stephen,

----- Original Message -----
From: Stephen P. King <stephenk1@home.com>
Sent: Thursday, May 06, 1999 11:13 AM
Subject: [time 279] Re: [time 278] Re: [time 276] [Fwd: Fisher information]

> Dear Hitoshi,
>
> I have the book on order...
>
> Here is a critique by Chris Hillman et al:
>
> http://members.home.net/stephenk1/Outlaw/Frieden.txt
>
> I got:
>
> Fisher's arrow of time in quantum cosmology (1998)
> by Frieden, B. Roy & Rosu, H. C.
> Journal Title: Modern Physics Letters A
> Volume Number: 13
> Page Number: 39
>
> I is awesome! I am putting a summary together. Perhaps I'll finish
> tomorrow. I am convinced that his work dovetails into ours!

Physics?" in [time 280] says tells the truth about the work of Frieden. I
suspect that his work is just a paraphrasing of physics, not a new discovery
of any fundamental aspects of our recognition. If it would have meaning, it
would be only when a new interpretation of our recognition is brought into our
sight. I would reserve my opinion till then.

Best wishes,
Hitoshi

We need to
> seriously think about the information theoretical aspects of LS theory!
> I have some interesting ideas but not words. :( I think in pictures ->
> dyslexia! I hate it, I like a person struck deaf when trying to say
> Eureka! :( But I shall try:
> The fundamental assumptions, such as Noeter's theorems need to be
> looked at very carefully within the LS theory! No connections between
> LSs -> no Universal Absolute Unique space-time with a priori
> Langrangians -> Conservation Laws are <<glocal>>? since they only apply
> to finite clusters of interacting LSs...
> I have said before that there is no unique manifold X (Riemannian or
> other wise) for all LSs to be fibered into; I think that this relates to
> the "operator ordering problem for coherent states". This also plays
> into our thinking about histories (sum over histories, etc.!) as an
> aspect of time.
> Clocks merely gauge the "flow" of the LS scattering propagation, they
> do not define a unique ordering in themselves unless we could show that
> the ordering of the configurations of the quantum mechanical particles!
> This is like how the numbers on the face of an analogue clock are
> ordered mod 12: ..., 1, 2, ..., 11, 12, 1, 2, ... . We could also think
> of a of a non-cyclic model of clock that uses an endless paper tape with
> numbers: ..., n-1, n, n+1, ...
> I see these as an example of the "streams" in Peter's work! I think
> there are a minimum of three components to a clock: Two disjoint sets of
> streams and a mapping between the two. The configurations of positions
> and velocities are streams and the mapping -the quotient operation-, is
> maybe, their mutual entropy (how much of the whole of one is a subset of
> the other's powerset) - (there is something missing in this line of
> thought!) I think that the infomorphism maps LS clocks into (up to onto
> at the limit m -> +/- \infinity) each other.
> How this works into Frieden's thinking I am working on... ;) It does
> begin to answer Lance's challenge to me. :)
>
> Onward,
>
> Stephen
>
> >
> > Dear Friends,
> >
> > Is there anyone who has Frieden's book?
> >
> > Best wishes,
> > Hitoshi
> >
> > ----- Original Message -----
> > From: Stephen P. King <stephenk1@home.com>
> > Sent: Wednesday, May 05, 1999 11:12 PM
> > Subject: [time 276] [Fwd: Fisher information]
> >
> > ----- Original Message -----
> > From: Christopher Brown <cbrown@chem1.chem.dal.ca>
> > To: <stephenk1@home.com>
> > Sent: Wednesday, May 05, 1999 11:53 PM
> > Subject: Re: Fisher information
> >
> > > > I have assembled a link page on Fisher information and have a
> > > >definition: "The Fisher Information about a parameter is defined to
> > > >be \theta the expectation of the second derivative of the
> > > >loglikelihood."
> > > >http://members.home.net/stephenk1/Outlaw/fisherinfo.html
> > > > But I am still needing an intuitive grasp of that it means. :)
> > >
> > >
> > > In short, when you estimate a parameter, you estimate it's value usually
by taking
> > > the estimate of the parameter to be the maximum likelihood value. So we
get an
> > > estimated parameter value, and we know it's uncertain. Imagine it as a
normal
> > > distribution, the center of which is our estimate, and the variance of
which is the
> > > uncertainty we have in the location of our estimate. The Fischer
Information
> > > essentially describes how sharp that normal distribution is around our
estimate.
> > > More Fischer Information roughly implies a more informative estimate
(i.e. tighter
> > > spread around the MLE).
> > >
> > > Hope it helps,
> > > CDB
>

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