Re: A question of discrete space-time, part 3

Ed Hanna wrote:

> Frankly, I'm surprised that one can (apparently) derive such
> fundamental aspects of both relativity and quantum mechanics from a
> model of discrete space-time, based on three rather simple postulates,
> and using common textbook probability. This seems to provide hope of
> finding a basis for unifying relativity and quantum mechanics, by
> proposing a discrete space-time at the Planck scale.
>
> Nevertheless, I am painfully aware that the validity of any of the
> above does not, as you said, necessitate the presence of a space-time
> lattice. I find myself in the somewhat awkward position of trying to
> determine some emergent properties of a discrete space-time model to
> see if they agree with existing continuum physics while at the same
> time hoping to find one that is in agreement, but different enough to
> be the basis of a concrete testable prediction.
>
> Begging the group's indulgence, I have a couple more emergent
> properties to propose, which may prove to be interesting.
>
> Regards,
> Ed Hanna

For a first step read the following paper by Hartland S. Snyder
_____________
Phys. Rev. 71, 38-41 (1947)
Quantized Space-Time
Hartland S. Snyder

Department of Physics, Northwestern University, Evanston, Illinois

Received 13 May 1946

Abstract
It is usually assumed that space-time is a continuum. This assumption is not
required by Lorentz invariance. In this paper we give an example of a
Lorentz invariant discrete space-time.
_____________

The above referenced paper deals completely with static space time. Email me
and I can send you the PDF if you like. Coupled with the followup paper
which dealt with electromagnetism the problem of a flat discrete space time
lattice was dealt with by Snyder some time ago. When one examines his
operators the emergent properties you describe are right there. This is
old work and many may not realize it has already been done. Even editors
of physics journals.

Dynamic theories of quantized space time ==> gravity there are many many of
those. Google the term ,quantized space time. The list is practically
endless. I got about 40800 web pages dealing with the matter. Inspite of
this I encourage you to throw your hat in the ring. The more brains we
have working the problem the better our chances of solving it.

--
Let me get this straight we "advanced" from telgraphs to email?-George
Carlin, http://www.geocities.com/hontasfx

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