On Tue, Mar 03, 2015 at 05:06:58PM +1100, Bruce Kellett wrote: > Russell Standish wrote: > >On Mon, Mar 02, 2015 at 07:52:57PM -0800, meekerdb wrote: > >>On 3/2/2015 5:49 PM, Jason Resch wrote: > >>>Maybe that's enough though, to implement a brain and observer, > >>>that they stop interfering in at least one basis (assuming they're > >>>not contradictory, might all bases exist?) > >>Bases are just coordinate systems for Hilbert space. We choose > >>them. Of course that doesn't keep Platonists from supposing they > >>exist, but physicists generally assume coordinate dependent things > >>measure up to their standard of "exists". If brains and observers > >>exist they should have some coordinate independent definition. > >> > > > >Or perhaps they define their own coordinates. The person who choses to > >measure momentum is simply a different person to the one chosing to > >measure position. And the basis is correspondingly defined. > > The difference between a position or momentum measurement is not a > different choice of basis. Each observable is an operator in a > separate Hilbert space -- the choice of basis in these spaces > remains problematic. >
The basis is defined by the eigenvectors of the chosen measurement operator. Cheers -- ---------------------------------------------------------------------------- Prof Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Professor of Mathematics hpco...@hpcoders.com.au University of New South Wales http://www.hpcoders.com.au Latest project: The Amoeba's Secret (http://www.hpcoders.com.au/AmoebasSecret.html) ---------------------------------------------------------------------------- -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
