Arcadian Functor

occasional meanderings in physics' brave new world

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Marni D. Sheppeard

Wednesday, July 18, 2007

Around the B'Sphere

Jacques Distler has finally figured out why Condensed Matter physicists are keen on pentagons and hexagons these days. Louise Riofrio continues with a series of informative posts on new spacesuit designs, for the serious traveller. And the wonderful David Corfield links to a great paper on operads by Manin et al. One has to wonder what Manin is thinking about these days: working on operads one minute, and with Marcolli, an expert on the Riemann hypothesis, the next.

5 Comments:

Blogger CarlBrannen said...

Kea, that WordPress LaTex sure is nice.

I just typed in a short introduction to Bilson-Thompson's Helon model of the fermions and gauge bosons.

I wonder if I should type up a post on the Koide formula or instead do something on Clifford algebra.

July 18, 2007 4:03 PM  
Blogger kneemo said...

Nice find Kea! A friend of mine is actually doing research with Rezayi at this time. However, I wasn't aware that the Read-Rezayi system was shown to be universal for quantum computation. I'm going to talk to my friend a little more about this.

July 18, 2007 6:20 PM  
Anonymous nosy snoopy said...

Kea:
"...And the wonderful David Corfield links to a great paper on operads by Manin et al. One has to wonder what Manin is thinking about these days..."


This paper is just nightmare.:)

"It is interesting to notice that the classical theory of recursive functions must refer
to a very special and in a sense universal algebra over a non–linear “computational
operad”, but nobody so far was able to formalize the latter. Main obstacle is
this: a standard description of any partially recursive function produces a circuit
that may contain cycles of an a priori unknown multiplicity and eventually infinite
subprocesses producing no output at all."


What does it mean "classical theory of recursive functions"? Is there a "nonclassical computational operad"? Is Manin thinking about nonclassical theory of computation, or what, eh, Kea?

July 21, 2007 2:23 AM  
Blogger Kea said...

Hi nosy snoopy. Recursive function theory can be looked at as a part of Turing machine theory, which is a very literal way of seeing it as 'classical', and no doubt Manin is actually interested in quantum analogues. As he says, there is as yet no real notion of non-classical operad, because people who try to apply operads to quantum questions usually assume that quantization is of the traditional kind - even Kontsevich does this, whereas there should be a more canonical notion of quantumness in terms of higher operads.

July 21, 2007 10:41 AM  
Anonymous nosy snoopy said...

aaay :] spasibo. I am stupid.
Nonclassical=quantum.

July 21, 2007 12:40 PM  

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