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  1. Independently Motivating the Kochen—Dieks Modal Interpretation of Quantum Mechanics.Rob Clifton - 1995 - British Journal for the Philosophy of Science 46 (1):33-57.
    The distinguishing feature of ‘modal’ interpretations of quantum mechanics is their abandonment of the orthodox eigenstate–eigenvalue rule, which says that an observable possesses a definite value if and only if the system is in an eigenstate of that observable. Kochen's and Dieks' new biorthogonal decomposition rule for picking out which observables have definite values is designed specifically to overcome the chief problem generated by orthodoxy's rule, the measurement problem, while avoiding the no-hidden-variable theorems. Otherwise, their new rule seems completely ad (...)
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  • Interpretations of Quantum Mechanics in Terms of Beable Algebras.Yuichiro Kitajima - 2005 - International Journal of Theoretical Physics 44 (8):1141-1156.
    In terms of beable algebras Halvorson and Clifton [International Journal of Theoretical Physics 38 (1999) 2441–2484] generalized the uniqueness theorem (Studies in History and Philosophy of Modern Physics 27 (1996) 181–219] which characterizes interpretations of quantum mechanics by preferred observables. We examine whether dispersion-free states on beable algebras in the generalized uniqueness theorem can be regarded as truth-value assignments in the case where a preferred observable is the set of all spectral projections of a density operator, and in the case (...)
     
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  • A remark on the modal interpretation of algebraic quantum field theory.Yuichiro Kitajima - 2004 - Physics Letters A 331 (3-4):181-186.
    Clifton determined the maximal beable algebra for each faithful normal state in a local algebra [Phys. Lett. A 271 (2000) 167, Proposition 1]. In the present Letter we will determine the maximal beable algebra for any normal state under the same conditions as Clifton's.
     
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  • Maximal beable subalgebras of quantum-mechanical observables.Hans Halvorson & Rob Clifton - 1999 - International Journal of Theoretical Physics 38:2441-2484.
    The centerpiece of Jeffrey Bub's book Interpreting the Quantum World is a theorem (Bub and Clifton 1996) which correlates each member of a large class of no-collapse interpretations with some 'privileged observable'. In particular, the Bub-Clifton theorem determines the unique maximal sublattice L(R,e) of propositions such that (a) elements of L(R,e) can be simultaneously determinate in state e, (b) L(R,e) contains the spectral projections of the privileged observable R, and (c) L(R,e) is picked out by R and e alone. In (...)
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