> > I enjoyed this post very much. I have one question and a comment. > Q: I didn't know that the most general field for a vector space > is the set of complex numbers; why is this so? > Comment: You ask why QM should be linear. In the MWI FAQ, Price > gives a good Anthropic argument for why this should be so, based > on the fact that if it were in the least non-linear, then it > would be possible to communicate between worlds. > >

A Field is a mathematical concept. It is a set of objects that satisfies a certain set of axioms. The most general such object is the set of complex numbers. (Actually, I just glanced at Fig 1 of Max Tegmark's paper - maybe what I'm referring to is an "Abelian Field"). The point is that in order to have linearity in your vector space, you need an abelian field. Cheers ---------------------------------------------------------------------------- Dr. Russell Standish Director High Performance Computing Support Unit, University of NSW Phone 9385 6967 Sydney 2052 Fax 9385 7123 Australia [EMAIL PROTECTED] Room 2075, Red Centre http://parallel.hpc.unsw.edu.au/rks ----------------------------------------------------------------------------