The Modified Bell Inequality and Its Physical Implications in the ESR Model

作者：Garola Claudio; Sozzo Sandro^*

来源：International Journal of Theoretical Physics, 2011, 50(12): 3787-3799.

DOI：10.1007/s10773-011-0743-9

• Quantum mechanics
• Quantum probabilities
• Bell's inequalities
• Local realism

The extended semantic realism (ESR) model proposes a theoretical perspective which reinterprets quantum probabilities as conditional on detection rather than absolute and embodies the mathematical formalism of standard (Hilbert space) quantum mechanics (QM) in a noncontextual, hence local, framework. The assumptions needed to prove the Bell inequality therefore hold in the ESR model, but we show that the Bell inequality must be substituted in it by the modified Bell inequality and that the standard quantum expectation values, when reinterpreted as proposed by the ESR model, do not violate the latter inequality. Hence the long-standing conflict between "local realism" and QM is settled in the ESR model. Finally we provide an elementary example of a prediction that might be used to check whether the ESR model is correct.

• 出版日期2011-12