Originally posted by redcannon+August 15, 2007 08:02 pm--> (redcannon @ August 15, 2007 08:02 pm)
[email protected] 15, 2007 07:13 pm
(well, 3 or 26 dimensions; but since we know there are 4 dimensions string theorists argue that there must thus be 26 dimensions).
what's the logic behind that? CR you should start a study group for physics, if one hasn't been created already. I'd join. [/b]
There is a term which breaks Lorentz invariance ("the speed of light being constant") in the free Bosonic String equation when Dirac quantizing it.
That is, quantizing it so the eigenvalue equations resemble familiar equations from classical or relativistic quantum mechanics.
If there are 26 dimensions, the term goes to zero and Lorentz invariance is preserved...something you care about as a particle physicist. But if you look, the universe is accelerating so broken Lorentz invariance isn't too bad...it's supported with empirical observations.
But then you have to explain why at the particle level Lorentz invariance is preserved, and it's easier to just say "There are 26 dimensions, end of discussion!"
As for an introduction to quantum gravity (this entire field), Here's a collection of some dude's notes (http://angryphysicist.wordpress.com/tag/carlips-class/) on the course. It's not complete of course, but it should be impressive.