Hidden Variables are Compatible with Physical Measurements

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Abstract
Meyer has recently pointed out that the Kochen-Specker theorem, which demonstrates the impossibility of a deterministic hidden variable description of ideal spin measurements on a spin 1 particle, is nullified if the measurements have only finite precision. We generalise this result: it is possible to ascribe consistent outcomes to a dense subset of the set of projection valued measurements, or to a dense subset of the set of positive operator valued measurements, in such a way that both the operators with outcome 0 and outcome 1 are dense, for any finite dimensional system. Hence no Kochen-Specker like contradiction can arise for any collection of finite precision measurements in either class.

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