Re: So^' sie^u phu+'c

[Aiviet Nguyen <aiviet@cat.syr.edu>]

 Hi,
  It is thinkable that non-commutativity is manifest in Quantum Physics
( Heisenberg uncertainty). So the use of quaternions is natural.
  Non-associativity does not have any obvious physical significance.
One of the best physicist in the US, Feza Gursey had spent 30 years
to work on this. He wrote with his collaborator Tze, a lot of papers
but was upset because all applications they could worked out were at 
technical level. Feza believed that non-associativity should have some
deeper meaning.
   I personally, think that non-associativity has relation with
instanton and a new mechanism of symmetry breaking ( symmetry breaking by 
quantum effects). But except couples of papers, I could not find such a clear
representation as Pauli's spin theory.
  Tze and Gursey recently published a book on octonion. ( In fact Tze 
wrote as Gursey died in 1992)
Cheers
Aiviet