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**Sep 03, 2010 1:33 pm**Okay, but how can a 248+ dimensional Lie group be embedded in a 248 dimensional Lie group?

I see, you were talking about the dimension of the holes, not the manifold.http://library.thinkquest.org/27930/stringtheory5.htm wrote:... The first step toward such a goal has been taken in the realization that Calabi-Yau spaces contain holes of various numbers of dimensions which can affect a string's vibrational pattern. This goes a long way toward answering one of particle physics' most intriguing questions: why are there three families of elementary particles? why not one, or four, or any other number? The answer proposed by string theory is as follows...