title: A Simplified Basis for Bell-Kochen-Specker Theorems.
abstract: We show that a reduced form of the structural requirements for deterministic hidden variables used in Bell-Kochen-Specker theorems is already sufficient for the no-go results. Those requirements are captured by the following principle: an observable takes a spectral valuexif and only if the spectral projector associated withxtakes the value 1. We show that the "only if" part of this condition suffices. The proof identifies an important structural feature behind the no-go results; namely, ifat leastone projector is assigned the value 1 in any resolution of the identity, thenat most one is.
authors.affiliation: Center for Information Technology, National Institutes of Health, Bethesda, MD 20892, USA.
authors.forename: James D
authors.initials: JD
authors.lastname: Malley
authors.affiliation: University of Washington, Seattle, WA 98195, USA.
authors.forename: Arthur
authors.initials: A
authors.lastname: Fine
keywords: Bell-Kochen-Specker theorem; Hidden variables; No-go