On 2/11/2015 7:10 pm, Bruno Marchal wrote:
On 02 Nov 2015, at 06:17, Bruce Kellett wrote:
Which is just your idiosyncratic way of saying that we have to apply
a projection operator.
No, we have to recover the "projection operator" from the
computationalist quantization. It is a math problem.
So do it.
The trouble with your FPI approach is that it does not explain the
inter-subjective agreement that is an essential part of our
experience. All people experience the same "classical" world (in
which they agree about the observed basis vectors that are robust
against environmental decoherence)
The indexical quantization provides the path toward the solution or
the lack of solution. Don't confuse the intuitive FPI of the UDA, and
its translation in math based on the Gödel-Post-Turing-Kleene technic
which makes the self-reference mathematically precise.
Don't confuse it with what?
The full space might well still be 'there' (in whatever sense you
like), but the fact that the observer is conscious of only part of
that space involves a projection operator. And projection operators
are not time symmetric or unitary. This is the partial trace
problem, and it remains unsolved.
It is exactly what Everett solved, assuming mechanism, by taking
into account the personal point of view of the isolated system with
respect to what it is isolated and not isolated. Everett shows this
does not depend on the bases.
He showed no such thing. The basis according to which the "classical"
world is projected out is absolutely crucial. We would not observe
the same world in any other basis. The basis we do observe is the one
that is robust against environmental decoherence -- any other basis
is not robust, so rapidly devolves into the robust (einselected) basis.
The choice of the bases is what Zurek have explained. That extends
Everett.
I think you should study Zurek at little more closely. He did not
actually explain the choice of basis. His result was that the basis had
to be robust against environmental decoherence -- which is true, but
does not give the actual basis. Position space is a Hilbert space, not a
basis for a Hilbert space.
Bruce
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