Arcadian Functor

occasional meanderings in physics' brave new world

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Marni D. Sheppeard

Wednesday, October 18, 2006

M-theory Revisited

This is really just another boring post about the speed of light rather than some comments on mathematical M theory. The string blogger MathPhys made an interesting comment on Woit's blog recently: you all missed c < 1. Silly me...I wasn't sure whether he was referring to the speed of light or central charge!

In rational CFT one considers a deformation parameter q which is a root of unity in the complex plane. For q = exp(2.pi.i/N), the basic case, this depends only on the positive integer N. The same N labels a triple of points (0,q,oo) on the Riemann sphere, which can be used to cover moduli, described by the q=1 case. And before one knows it there are modular tensor categories, Galois groups and all sorts of other goodies floating around, which might explain why Terence Tao has been interested in physical distance scales recently.

Brannen has looked at different scales in the Standard Model with such a varying c. If c was supposed to be the speed of light one might equally ask about the domain c > 1, which has of course been considered by Riofrio. So c could be very, very big, or it could be very, very small.


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