Abstract
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 where a preferred observable is the set of all spectral projections of the position operator as well.
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Kitajima, Y. Interpretations of Quantum Mechanics in Terms of Beable Algebras. Int J Theor Phys 44, 1141–1156 (2005). https://doi.org/10.1007/s10773-005-4051-0
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DOI: https://doi.org/10.1007/s10773-005-4051-0