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Topic: What are space and time?
Replies: 184   Last Post: Nov 19, 2012 9:14 PM

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jjs

Posts: 56
Registered: 8/22/08
Re: What are space and time?
Posted: Jul 24, 2010 10:18 AM
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In article
<f1aa9214-a7ca-4553-a7fb-db1c437b172e@c10g2000yqi.googlegroups.com>,
"Tim Golden BandTech.com" <tttpppggg@yahoo.com> wrote:

> On Jul 21, 11:29 am, John Stafford <n...@droffats.net> wrote:

> >
> > There is a strange outlier in crystal formation. Perhaps it is best to
> > call it a quasi-crystalline structure that has a tiling pattern that
> > cannot possibly be built in the traditional atom-to-atom, linear manner
> > (symmetric translation). See the work of Dany Shechtman, 1984.
> >
> > The point illustrated by this quasi-crystal is that in order to form its
> > five-fold symmetry, all the atoms in the solution would have to
> > simultaneously organize. It's a non-local action. Spooky stuff, as the
> > man said.

>
> I found a SIAM article covering Shechtman's discovery. Pretty neat.
> I've got a copy of Kittel's solid state physics which specifically
> rules out the 5-fold symmetry. I do have a hard time with the Bravais
> breakdown because it seems so cartesian based. I do have an
> alternative lattice style in polysign:
> http://bandtechnology.com/PolySigned/Lattice/Lattice.html .
>
> How much of a space can we actually have? Some work that I've done
> exposes that we can have more or less than tradition will allow:
> http://bandtechnology.com/ConicalStudy/conic.html
> Perhaps there is a way around the simultaneous organization
> requirement here.
>
> I've never fully followed the crystallographic X-ray patterning, which
> is supposed to be the boon of analysis, even under the Shechtman
> discovery, but am happy to consider that there could be some
> electromagnetics in diffraction that is being overlooked too
> conveniently. We don't see any photograph of the aluminum and
> manganese alloy, which I suppose does not look very impressive. Should
> there be some attempt to grow one of these and see if there is some
> growth pattern? I couldn't find any photos of the material, or even a
> name for it. Didn't work too hard at it though.
>
> - Tim


I found a photo in Roger Penrose's _ Emperor's New Mind_, page 564 in
our library copy. It is early, and different from the later
representations. If you surf for "penrose aluminum-manganese alloy"
(sans quotes), you should come up with some good information.

I struggle to follow Penrose, but that's my shortcoming. He's a very
good instructor and writer.


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