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created an entry beable
(Surprisingly, this keyword does not have a Wikipedia entry…)
Ugh. Not an attractive English word, IMHO.
How about spelling it “be-able” instead?
But I can’t help it, that’s what it’s called…
I know you can’t help it. No, I’d leave the spelling alone (no hyphen unless that’s what appears in the literature); it’s clear from the context how it should be pronounced. In fact, please feel free to ignore my last comment entirely! :-)
I added two later references and a remark on how this connects to Bohr toposes.
Thanks.
Two questions:
I have trouble locating the paragraph where Bell explicitly talks about mutually commuting operators, classical contexts. Where is it?
Second, there seems to be some transmutation of the term in the course of its history which is not fully clear to me. First it’s just a new word meant to help to talk about standard quantum mechanics, but before long people use it as if giving a new interpretation or something of quantum mechanics. Do you oversee this? We should comment on that in the entry.
Sorry, I need to add more information. I was doing this from memory.
I was taking the Halvorson Clifton definition of beable subalgebra (p9) and then focussing on the important special case of the definite algebra for a state . This is the subalgebra on which is dispersion free. Hence, for each commutative subalgebras of , a choice of an element of its spectrum (values). These choices are compatible. Hence, we obtain a local section.
I’ll add this tomorrow.
Okay, thanks. By the way, I don’t doubt that you are right, but when reading your message I noticed that I had trouble finding the actual definitions in Bell’s articles (or elsewhere).
Done.
We once had a plan to further explore these connections between beables and Bohr toposes, but never found the time.
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