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.
Bruce
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