The requested excerpt from http://www.scholarpedia.org/article/Calabi-Yau_manifold#Calabi-Yau_manifolds_in_string_theory:
"Calabi-Yau manifolds in string theory Superstring theory is a unified theory for all the forces of nature including quantum gravity. In superstring theory, the fundamental building block is an extended object, namely a string, whose vibrations would give rise to the particles encountered in nature. The constraints for the consistency of such a theory are extremely stringent. They require in particular that the theory takes place in a 10-dimensional space-time. To make contact with our 4-dimensional world, it is expected that the 10-dimensional space-time of string theory is locally the product M4×X of a 4-dimensional Minkowski space M3,1 with a 6-dimensional space X . The 6-dimensional space X would be tiny, which would explain why it has not been detected so far at the existing experimental energy levels. Each choice of the internal space X leads to a different effective theory on the 4-dimensional Minkowski space M3,1 , which should be the theory describing our world." The 6d space is tiny indeed, said by Yau in his book "The Shape of Inner Space" to be 1000 Planck lengths in diameter. The rest of that reference apparently describes a number of possible realizatons of the 6d space that is way beyond my comprehension. So now I am reading http://universe-review.ca/R15-26-CalabiYau.htm, a math review of Yau's book, to get a more definitive answer to our questions. Richard. On Fri, Oct 26, 2012 at 4:48 PM, Stephen P. King <[email protected]> wrote: > On 10/26/2012 4:31 PM, Richard Ruquist wrote: >> >> Yes >> >> http://www.scholarpedia.org/article/Calabi-Yau_manifold#Calabi-Yau_manifolds_in_string_theory > > Hi Richard, > > Could you cut and paste the specific description that answers Brent's > question? > > >> >> On Fri, Oct 26, 2012 at 3:01 PM, meekerdb <[email protected]> wrote: >>> >>> On 10/26/2012 5:08 AM, Richard Ruquist wrote: >>>> >>>> No Roger, >>>> >>>> In string theory dimensions are conserved but can undergo extreme >>>> modification such as in compactification where formerly orthogonal >>>> dimensions become embedded in 3D space in spite of what Brent thinks. >>> >>> >>> Do you have a reference that describes this 'embedding'? >>> >>> Brent >>> >>> -- >>> You received this message because you are subscribed to the Google Groups >>> "Everything List" group. >>> To post to this group, send email to [email protected]. >>> To unsubscribe from this group, send email to >>> [email protected]. >>> For more options, visit this group at >>> http://groups.google.com/group/everything-list?hl=en. >>> > > > -- > Onward! > > Stephen > > > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To post to this group, send email to [email protected]. > To unsubscribe from this group, send email to > [email protected]. > For more options, visit this group at > http://groups.google.com/group/everything-list?hl=en. > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.
