Hess Karl, Philipp Walter
Beckman Institute, Department of Electrical Engineering, University of Illinois, Urbana, IL 61801, USA.
Proc Natl Acad Sci U S A. 2004 Feb 17;101(7):1799-805. doi: 10.1073/pnas.0307479100. Epub 2004 Jan 22.
We show that the known proofs of Bell's inequalities contain algebraic manipulations that are not appropriate within the syntax of Kolmogorov's axioms for probability theory without detailed justification. Such justification can be achieved by a variant of the techniques used in Bell-type proofs but only for a subclass of objective local parameter spaces. It cannot be achieved for an extended parameter space that is still objective local and that includes instrument parameters correlated by both time and setting dependencies.
我们表明，贝尔不等式的已知证明包含一些代数运算，这些运算在没有详细论证的情况下，不符合概率论中柯尔莫哥洛夫公理的语法。这种论证可以通过贝尔型证明中使用的技术变体来实现，但仅适用于客观局部参数空间的一个子类。对于一个仍然是客观局部的、包括由时间和设置依赖性相关的仪器参数的扩展参数空间，是无法实现的。
