Counterfactual Definiteness and Bell’s Inequality  

作　　者：Karl Hess Hans De Raedt Kristel Michielsen Karl Hess;Hans De Raedt;Kristel Michielsen(Center for Advanced Study, University of Illinois, Urbana, IL, USA;Zernike Institute for Advanced Materials, University of Groningen, Groningen, The Netherlands;Institute for Advanced Simulation, Jülich Supercomputing Centre, Jülich, Germany;RWTH Aachen University, Aachen, Germany)

机构地区：[1]Center for Advanced Study, University of Illinois, Urbana, IL, USA [2]Zernike Institute for Advanced Materials, University of Groningen, Groningen, The Netherlands [3]Institute for Advanced Simulation, Jülich Supercomputing Centre, Jülich, Germany [4]RWTH Aachen University, Aachen, Germany

出　　处：《Journal of Modern Physics》2016年第13期1651-1660,共10页现代物理（英文）

摘　　要：Counterfactual definiteness must be used as at least one of the postulates or axioms that are necessary to derive Bell-type inequalities. It is considered by many to be a postulate that not only is commensurate with classical physics (as for example Einstein’s special relativity), but also separates and distinguishes classical physics from quantum mechanics. It is the purpose of this paper to show that Bell’s choice of mathematical functions and independent variables implicitly includes counterfactual definiteness. However, his particular choice of variables reduces the generality of his theory, as well as the physics of all Bell-type theories, so significantly that no meaningful comparison of these theories with actual Einstein-Podolsky-Rosen experiments can be made.Counterfactual definiteness must be used as at least one of the postulates or axioms that are necessary to derive Bell-type inequalities. It is considered by many to be a postulate that not only is commensurate with classical physics (as for example Einstein’s special relativity), but also separates and distinguishes classical physics from quantum mechanics. It is the purpose of this paper to show that Bell’s choice of mathematical functions and independent variables implicitly includes counterfactual definiteness. However, his particular choice of variables reduces the generality of his theory, as well as the physics of all Bell-type theories, so significantly that no meaningful comparison of these theories with actual Einstein-Podolsky-Rosen experiments can be made.

关 键 词：Foundations of Quantum Mechanics Foundations of Probability Bell Inequality 

分 类 号：O41[理学—理论物理]