> 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.


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

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