Yes I know addition and multiplication don't commute, but what does that have to do with the discussion above? Do you mean that repeated measurements on different systems might not be independent because they come from the same source?
Yes I know addition and multiplication don't commute, but what does that have to do with the discussion above? Do you mean that repeated measurements on different systems might not be independent because they come from the same source?
> Do you mean that repeated measurements on different systems might not be independent because they come from the same source?
More that the measurement settings could be correlated somehow. So called "cosmic Bell tests" try to push back how far said correlations would have to be, though, by determining measurement settings from distant antipodal astronomical objects, e.g. see the famous Rauch paper [0].
On the surface it seems a bit absurd to consider conspiracies from 7 billion years ago, but that's the whole deal with conservation laws, which introduce correlations between otherwise free parameters and constrain the state space to some submanifold.
[0]:https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.12...