Cayley algebra - Octonions

[Ha Le <ha@math.wayne.edu>]

Cha`o Ba'c A'i Vie^.t,

Ba'c no'i Cayley algebra thi` to^i ngo^. ra ro^`i. To^i bi. ma('c 
ke.t o+? ca'i dda^`u octo-, nghi~ ra(`ng chu' na`y pha?i 10 dim la` i't :-)
ca?m o+n Ba'c nhie^`u.

Btw, recently i read a book named "Superstring theory - a TOE?", a kind 
of "for the dummies" series. After all the praises and optimistic 
statements, three most "sensitive" problems are pointed out: 
First, it can not yet explain why the model have 9 or 10 or whatever 
dimension. Second, It can not yet tell what the topology of a point ( 
which is very thick!) look like.  And finally, it is too unrigorous (sp?)
in the sense that usually, a theory is accepted if it can predict something 
and is later confirmed by the experimenters. So far, it has not 
made any kind of prediction!

The book is dated back in 88', so it would be wonderful if our string 
theorists can explain to me about the current "state of the art" of this 
theory (or these theories, i'm not so sure :-)).

TQ