On 8/16/2018 3:24 AM, Bruno Marchal wrote:
On 15 Aug 2018, at 21:33, Brent Meeker <[email protected]
<mailto:[email protected]>> wrote:
On 8/15/2018 2:52 AM, Bruno Marchal wrote:
And you have not recovered the quantitative aspect of the quantum structure,
I did at the propositional level, which is enough to have the quantum logic. It
is richer than the quantum logic of the physicians, so this predicts new things.
What are they?
The consequence of the Löb’s formula translated in the quantum logical
terms. Those are long and ugly formula, still beyond the reach of my
(old) theorem prover.
So they are not testable.
because you have not defined a measure on the computations of the UD.
Not yet, but I am willing to hear some constructive suggestion to progress.
Then how can you claim to have recovered quantum mechanics if you
cannot even define a probability amplitude that is linear?
Because I have recovered enough to classify those logics as quantum
logic.
That's a far cry from quantum mechanics.
*Much* work needs to be done to get the corresponding “Gleason
theorem”. It is just a matter of work.
Until it is done you don't know that "it is just a matter of work."
Nobody claims this to be simple, but people needs to get familiar with
incompleteness before. Even Penrose got it wrong. There is still an
abyss between logicians (allergic to metaphysics for historical reason
well explained in the book by Cohen that I have often mentioned), and
physicists (which are unaware of the notion of mathematical models or
semantics). Things take time.
Bruno
Brent
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