On 11/20/2014 8:26 AM, Bruno Marchal wrote:
On 20 Nov 2014, at 00:54, meekerdb wrote:
On 11/19/2014 3:40 AM, Bruno Marchal wrote:
none use Positivism or any other school of philosophy because no philosophical
franchise is of the slightest help in doing what scientists want to do, figure out
how the world works.
I disagree. The collapse axiom, which is still in amost textbook, and which is used by
bad pedagog to avoid hard question, is a philosophical axiom relying on a religious
belief: the belief that there is only one physical universe, and that we are unique.
Some physicists used it as a rule of thumb, and as a way to not do philosophy, but of
course, that is eventually like a use of God-gap type of explanation.
It's more than a rule-of-thumb; it's the Born rule.
The collapse is not the Born rule. You can add the Born rule, like Hartle and Graham, or
derive it from the SWE, like Preskill, Selesnick, Destouches-février, and Gleason, with
more or less implicit use of the FPI (which then must be extended to the full
arithmetical domain).
There is only projections, which correspond to yes-no observable. The spectral
decomposition is all we need, + Gleason, or more simple treatment.
Gleason says IF the Hilbert ray implies probabilities they must come from the Born rule.
But it doesn't say why they should imply probabilities.
Without it, there's no way to connect wave functions to probabilities and no way to
test the theory.
The probabilities comes from the FPI on the terms where the observers appears in the
relevant relative states. It is just the same first person selection that the one in the
WM-duplication thought experience.
But "first person selection" is the same as collapsing the wave function for each person.
They renormalize it to reflect that it's either Moscow or Washington.
Brent
On the contrary, the collapse introduces a lot of magic non described by the SWE, like
indeterminacy, non-locality, irreversibility, etc.
Bruno
Brent
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