Or statistical independence fails, no? The CHSH derivation, for example, requires commuting expectation value with conjunction and similar for other Bell-like's that I'm aware of.
This always gets pooh-poohed away with with vague appeals to absurdism, "Alice and Bob's free will blah blah", but I don't really know of a priori reasons why the global state space needs to be Hilbert instead of a more complicated manifold with some Bell-induced metric. If you know of prior art here, I'd love some pointers.
Or statistical independence fails, no? The CHSH derivation, for example, requires commuting expectation value with conjunction and similar for other Bell-like's that I'm aware of.
This always gets pooh-poohed away with with vague appeals to absurdism, "Alice and Bob's free will blah blah", but I don't really know of a priori reasons why the global state space needs to be Hilbert instead of a more complicated manifold with some Bell-induced metric. If you know of prior art here, I'd love some pointers.