Abstract: In quantum mechanics, the wave-function only predicts probabilities of measurement outcomes, not individual outcomes. This suggests that it describes an ensemble of states with different values of a hidden variable. Here, we analyse this idea with reference to currently known theorems and experiments. We argue that the ψ-ontic/epistemic distinction fails to properly identify ensemble interpretations and propose a more useful definition. We then show that all ψ-ensemble interpretations which reproduce quantum mechanics violate Statistical Independence. Finally, we explain how this interpretation helps make sense of some otherwise puzzling phenomena in quantum mechanics, such as the delayed choice experiment, the Elitzur-Vaidman bomb detector, and the Extended Wigner's Friends Scenario.
Dear Richard, dear all.
From a mathematical point of view, superdeterminism seems to be a possible position. But if you also believe in some form of religion, which also is possible, I think it implies a God which is perfect and perfectly realistic in all respects. And that does destroy our free will, and makes superdeterminism a very strange position to take.
I think that it is much better to believe that God is limited by what Niels Bohr called complementarity, and that this also makes us limited in many cases when we are to make decisions. In a Bell experiment setting I argue for the latter view in my recent paper 'The Bell experiment and the limitation of actors'. Those who want to have a look at the manuscript - this is a free choice - can contact me on in...@math.uio.no .
With wishes of a nice Christmas Holiday to all of you.
Inge
To view this discussion on the web visit https://groups.google.com/d/msgid/Bell_quantum_foundations/690b484866c649d28a79c72009a456ea%40math.uio.no.