The Quantum Completeness Problem


The different versions of the Kochen-Specker Theorem show that quantum mechanics cannot be supplemented by hidden variables given two constraints. These results are generally interpreted as showing that QM is complete in the following way. A QM system S has only those values of observables for which the state yields probability 1. For all other probabilities S adopts a value during the measurement interaction. But this interpretation is fundamentally problematic. In fact it cannot yield a general and coherent interpretation of the trace formula. I present an argument to this effect, discuss a possible objection and sketch implications.



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