In an attempt to recruit the help of a friend from school, he writes this in an email in response:
<quote> So, about your question, I've actually never heard of a lattice-ordered abelian group, so I don't think I can help you there. I can tell you about the connection of category theory to physics, though (although you may already know this): when you talk about open string theory (i.e. adding D-branes to the theory), depending on whether you consider the A or B twist, the D branes are supposed to form a derived Fukaya category for the A twist, or a category of derived coherent sheaves on the B twist. In categorical language, the objects are the D branes, and the morphisms are (open) strings stretching between D branes. If you wanted to then make some (tenuous at best) connection to the real universe, assuming that string theory is actually true, since all particles are supposed to be strings (strings are a subset of D branes), this means that theoretically the entire universe could be described by a category of D branes. The problem with this, though, is that D branes are not fully described by even the derived Fukaya/coherent sheaf setup, so before that kind of connection can be made, (1) string theory has to be proven true, (2) a complete mathematical description of D branes has to be worked out. </quote> --~--~---------~--~----~------------~-------~--~----~ 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 -~----------~----~----~----~------~----~------~--~---
