论文标题

评论“伯特尔曼博士的袜子在智力现实的季节性世界中”

Comment on "Dr. Bertlmann's Socks in a Quaternionic World of Ambidextral Reality"

论文作者

Gill, Richard D.

论文摘要

我指出了乔伊·克里斯蒂安(Joy〜 Christian)在IEEE Access上发表的《贝特尔曼博士的袜子》中的关键错误。克里斯蒂安的模型不会产生单线相关性,但实际上只是重现了伯特尔曼效应。约翰·贝尔(John Bell)的朋友兼同事莱因霍尔德·贝特尔曼(Reinhold Bertlmann)在他年轻的时候,总是随机穿着一只粉红色和一只蓝色袜子。当您看到他的左脚时,您知道他的右脚将是什么色袜子。远处的动作?正如约翰·贝尔(John Bell)喜欢解释的那样,量子纠缠不能以一种简单的方式解释。然而,克里斯蒂安的模型将EPR-B实验的两个粒子分配给了源头上的平等和相反的旋转,选择是由公平的硬币抛弃决定的。但是它们是测量的,这些旋转被回收。克里斯蒂安(Christian)的计算机仿真实际上根本没有模拟他的模型,而是几乎直接将内置的负面余弦带入了他的计算机代数软件包中。贝尔的定理尚未被驳斥。关于物理基础以及量子信息工程(量子通信,计算)的辩论比以往任何时候都更加生动。克里斯蒂安(Christian)的论文a,并没有为辩论做出贡献,而是分散了辩论的注意力。几何代数的可能作用仍然是广泛的,值得进一步研究,这是通过对贝尔定理的数学内容的正确理解所启发的。

I point out critical errors in the paper "Dr. Bertlmann's Socks in a Quaternionic World of Ambidextral Reality" by Joy~Christian, published in IEEE Access. Christian's model does not generate the singlet correlations but in fact simply reproduces the Bertlmann effect. John Bell's friend and colleague Reinhold Bertlmann of CERN, in his younger days, always wore one pink and one blue sock, at random. The moment you saw his left foot, you knew what colour sock would be on his right foot. Action at a distance? As John Bell liked to explain, quantum entanglement cannot be explained away in such an easy way. Yet Christian's model assigns the two particles of the EPR-B experiment an equal and opposite spin at the source, the choice being determined by a fair coin toss. However they are measured, these spins are recovered. Christian's computer simulation works by not actually simulating his model at all but by almost directly tracing the negative cosine built into his computer algebra package. Bell's theorem has not been disproved. Debate as to what it means for the foundations of physics as well as for quantum information engineering (quantum communication, computation) is more lively today than ever before. Christian's paper, alas, does not contribute to the debate, but distracts from it. A possible role for Geometric Algebra is still wide open and deserves further investigation, informed by a proper understanding of the mathematical content of Bell's theorem.

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