The Quantum Completeness Problem

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Held, Carsten
preprint description
The different versions of the Kochen-Specker Theorem show that quantum mechanics (QM) 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.