(1) Department of Philosophy, Kyoto University, Kyoto-shi Sakyo-ku Yoshidahonmachi, Japan
Abstract:
In terms of beable algebras Halvorson and Clifton International Journal of Theoretical Physics38 (1999) 2441–2484] generalized the uniqueness theorem (Studies in History and Philosophy of Modern Physics27 (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.