The Bell-Wigner Locality Argument

Abstract

J. S. Bell has objected to the Kochen and Specker imbedding theorem as a proof of the completeness of quantum mechanics on similar grounds to his objections to von Neumann’s proof and the proof of Jauch and Piron. Again, the argument is that the proof implicitly assumes that equal values are assigned to quantum mechanically equivalent magnitudes by the hypothetical dispersion-free probability measures, whereas equivalence in the algebra of quantum mechanical magnitudes should be understood as statistical equivalence only for those probability measures which correspond to the statistical states of quantum mechanics.