Re: Modern Physics, Newtonian Paradigm, and the notion of State

[Tim Gwinn <***>]

Hi Ionel,

I used the term "commuting" in reference to a commuting Modeling Relation
between two systems, as on LI p. 53.  "Commuting" as it occurs internal to a
non-commutative algebra is a very different meaning of the word. I too see
no reason to exclude a priori formal models composed in a non-commutative
algebra.

Regards,
Tim

> -----Original Message-----
> From: ROSEN Forum [mailto:*** Behalf Of Ionel
> Sent: Thursday, June 03, 2004 12:19 AM
> To: ***
> Subject: Re: Modern Physics, Newtonian Paradigm, and the notion of State
>
>
> Tim:
>
> What about non-commuting/ non-commutative algebra models?
> They should be excluded a priori because they ...?
>
> Regards,
> Ionel
>
>  You wrote:
> >I would imagine that if these two very different formal universes of
> discourse can both provide us with commuting models for various natural
> systems, then it is highly likely that we can create yet more formal
> universes of discourse (ones that provide model types that cannot be
> reduced to ones of the first two types of formal universes) that
> could even
> further expand on our model making abilities. Probably such formal
> universes would provide very strange kinds of models as compard with those
> we normally associate with physics.
>
> Regards, Tim >>