TWF 236 is out.(adsbygoogle = window.adsbygoogle || []).push({});

http://math.ucr.edu/home/baez/week236.html

It has a plug for Morton's thesis. We should keep an eye on what is happening with people using categorics to make sense of quantics.

there seem to have been revelations: a veil falling now and then

lightly to the ground

the link to Morton's thesis is

http://xxx.lanl.gov/abs/math.QA/0601458

http://arxiv.org/abs/math.QA/0601458

an exerpt from the abstract is:

"... We will show how to construct a combinatorial model for the quantum harmonic oscillator in which the group of phases, U(1), plays a special role. We describe a general notion of "M-Stuff Types'' for any monoid M, and see that the case M=U(1) provides an interpretation of time evolution in the combinatorial setting, as well as other quantum mechanical features of the harmonic oscillator."

the thesis is apparently slated for publication in a categorics journal, I will just quote TWF:

"...However, none of this work dealt with the all-important phases in quantum mechanics! For that, we'd need a generalization of finite sets whose cardinality can be be complex. And that's what my student Jeffrey Morton introduces here:

24) Jeffrey Morton, Categorified algebra and quantum mechanics, to appear inTheory and Application of Categories. Also available as math.QA/0601458.

He starts from the beginning, explains how and why one would try to categorify the harmonic oscillator, introduces the "U(1)-sets" and "U(1)-stuff types" needed to do this, and shows how the usual theorem expressing time evolution of a perturbed oscillator as a sum over Feynman diagrams can be categorified. His paper is now the place to read about this subject. Take a look!"

"TAC" is an online journal:

http://www.tac.mta.ca/tac/

We need Kea to provide some guidance here. At least someone who understands it better than I do.

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# Cat -> Quant (TWF 236, Morton's thesis)

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