Re: Rovelli on EPR

Thus spake Eugene Stefanovich <eugenev@xxxxxxxxxxxx>
Oh No wrote:
Thus spake Eugene Stefanovich <eugenev@xxxxxxxxxxxx>


I have not read Mackey or Piron, though I have read a number of books on
foundations which are not nearly so sure. Neither are in print. I am not
convinced that Birkhoff and Von Neumann gave a set of simple assertions
about the world with clear physical meaning. They simply said that qm
has the structure of a formal language which tells us everything we can
find out from experiment, and that, pretty much is what is said of the
orthodox interpretation. To carry out the program the language must also
be shown to make sense in translation into English, imv. And it should
not simply enable us to predict the results of experiments, it should
work from precepts which, like Einstein's, are obviously true.

Briefly, what these people did is the following:
1) they recognized that classical Boolean logic has its realization
in terms of unions and intersections of subsets of a given set. In
classical physics this set can be identified with the phase space of
the physical system.
2) they noticed that the distributive law of classical logic is far
from obvious, and they substituted it with a weaker postulate
(orthomodularity). This gives rise to the so-called "quantum logic".
This logic has a mathematical realization in terms of intersections and
spans of closed subspaces in the Hilbert space. So, the phase space
of classical mechanics should be generalized to the Hilbert space
of quantum mechanics.

I think, this is a powerful result as it shows that classical theories
form a subset of quantum theories: classical distributivity is a
particular case of quantum othomodularity.

This is true. But I think that to complete Rovelli's program one should
do more, that is to translate the fundamental statements of quantum
logic into simple, and preferably obvious, statements about measurement
in the English language.

If you think the programme has been completed, perhaps you could tell
me, for example, why the Schrodinger equation is obeyed.

Yes, quantum logic says nothing about dynamics. In order to get the
Schrodinger equation you need to add the principle of relativity to
your postulates. As demonstrated by

Good answer. I wasn't aware of the references you gave, but this is what
I also do.


Regards

--
Charles Francis
substitute charles for NotI to email

.

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