[time 319] Re: [time 318] correction to [time 317]


Matti Pitkanen (matpitka@pcu.helsinki.fi)
Mon, 17 May 1999 07:44:24 +0300 (EET DST)


Dear Hitoshi,

could you explain how scalar wave equation results in Frieden's theory.
How the possible problems related to the signature of Minkowski metric
are handled? And how I-J composition appears at the level of
scalar wave equation.

Matti Pitkanen

On Sun, 16 May 1999, Hitoshi Kitada wrote:

> Dear Stephen,
>
> I mixed things:
>
> ----- Original Message -----
> From: Hitoshi Kitada <hitoshi@kitada.com>
> To: Stephen P. King <stephenk1@home.com>
> Cc: <time@kitada.com>
> Sent: Sunday, May 16, 1999 8:24 PM
> Subject: [time 317] Re: [time 285] Re: [time 279] Re: [time 278] Re: [time
> 276] [Fwd: Fisher information]
>
>
> > Dear Stephen,
> >
> > I got the book of Frieden. It is interesting. I now begin changing my
> > reservation I wrote in the following quotation.
> >
> > He discusses the error which necessarily arises in the closed
> > observations (errors are associated with any closed observation: if the
> > observation can be considered open as in Peter's paper, the error does
> > not exist), and as a minimizing solution of the error,
>
> This is my misunderstanding: Frieden obtains Lagrangian by minmizing the
> Fisher information I, which decreases, as time goes to infinity, to a
> minimum that is an equivalent of an equilibrium. This, by Cramer-Rao
> inequality
>
> e^2 I >= 1,
>
> means that the minimum of the error e becomes the largest. His equilibrium
> corresponds to the state with maximum entropy.
>
> Best,
> Hitoshi
>
> he derives
> > physics laws in the form of Lagrangians for each specific physical
> > observation. Thus errors are the cause of physics in his context.
> >
> > In the context of Local Systems theory, this each Lagrangian seems to
> > correspond to a factor in the factorization of the universe, e.g. in the
> > factorization X x R^6, the first factor corresponds to GR and the second
> > to QM. Maybe my method would give a unification of all kinds of
> > observation. Here I mean by observation, GR, QM, Electromagnetism, QED,
> > ... So the universe is a tensor product of infinite number of factors,
> > each factor of which corresponds to each theory. The unification would
> > be given as a reconciliation by means of some translation among theories
> > that makes them commensurable with each other (as the relativistic
> > "correction" of QM values gives the relativistic QM results).
> >
> > The book seems well written, although I am still at the second chapter.
> > Hillman's critiques you posted in [time 314] might apply to the
> > differential geometry part (I do not reach that part). But the
> > philosophy of the book is clear. The ambiguity which I felt when reading
> > the advertisement is not in the book.
> >
> > Best wishes,
> > Hitoshi
> >
> >
>
>



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