# Re: Questions on Russell's "Why Occam" paper

On Tue, Jun 07, 2005 at 10:37:10AM +0200, Bruno Marchal wrote:
>
> OK. it seems to me that (equation 14 at
> http://parallel.hpc.unsw.edu.au/rks/docs/occam/node4.html  )
>
> ?
> 

In LaTeX, this equation is

\frac {d\psi}{d t}={\cal H}(\psi)

It supposes time, but not space (TIME postulate). Moreover, it
supposes continuous time, but I do suggest in the paper how it might
be generalised to other possible timescales. Perhaps it also supposes
continuity in time for \psi, although this probably flows from
assuming continuity of time. I do not think time is necessarily
continuous - I think it is interesting to explore alternative QMs
without this assumption.

The question is whether this is the most general evolution equation
for continuous time, or whether there is some more general
equation. Remember, we do have already that \psi is a member of a
Hilbert space, so we can write things like:

\psi(t')-\psi(t) = ...

What do you mean by derivability notion for H, and topological notion?

>
>
> is really presupposing a lot. Where does that come from? It presupposes
> a space/time geometry, continuity, derivability notion for H,
> topological notion, etc.
>
> To begin with.
>
> Bruno
>
> http://iridia.ulb.ac.be/~marchal/
>
>

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