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• W2016294537 abstract "The mathematical structure of quantum mechanics is determined by two algorithms: quantization algorithm (QUAN) which says that an observed value of an observable Q is one of the eigenvalues q of the corresponding physical operator , and the statistical algorithm (STAT) which says that the probability for the observed physical quantity vm(Q) to be q is | q||2. From these two algorithms we can derive the principle of statistical function composition (SFC), Prob(vm(f(Q)) = r|) = Prob(vm(Q) = f-1(r)|). With the assumption of the principle of function composition (FC) that the algebraic relations between observables of a given physical system are identical with the algebraic relations between the values possessed by the system before the observation is made, it could be explained why the result of measurement obeys SFC. According to Bell-KS theorem, FC is not compatible with quantum theory. We analyse, in this paper, the incompatibility of FC with quantum theory in detail, focusing on the analysis of Redhead (1989 Incompleteness, Nonlocality and Realism (Oxford: Oxford University Press)). Redhead assumes the faithful measurement principle (FM) in order to construct FC. However, we show, that FC can be derived without the help of FM." @default.
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• W2016294537 date "1999-01-01" @default.
• W2016294537 modified "2023-09-27" @default.
• W2016294537 title "The contextuality of the possessed values" @default.
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• W2016294537 doi "https://doi.org/10.1088/0305-4470/32/17/304" @default.
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