arXiv 2103.043352021-03quant-phhep-thmath-phmath.MP

任意精度下任意量子理论的局部隐变量的显式构造

Explicit construction of Local Hidden Variables for any quantum theory up to any desired accuracy

Gerard t Hooft

备注：: 17 pages, no figures. Thoroughly revised

摘要：

量子力学的机器完全能够描述一个单一的现实世界。在这里，我们讨论相反的情况：尽管表面上如此，而且事实上有许多相反的说法，但任何量子力学模型都可以通过完全经典的方程组来模拟，直到任何有限的精度。这一观察的一个含义是贝尔定理在所考虑的情况下不适用。这是解释仔细检查贝尔的假设有关因果关系，追溯因果关系，统计（在）的依赖性，和他的恐惧“阴谋”（没有阴谋的语言用于描述确定性模型）。贝尔/CHSH违反反直觉的最关键机制是，无论Alice和Bob选择的设置如何，系统的初始状态都应该是现实的。我们的建设在模型建设的潜在重要性进行了讨论。

英文摘要：

The machinery of quantum mechanics is fully capable of describing a single realistic world. Here we discuss the converse: in spite of appearances, and indeed numerous claims to the contrary, any quantum mechanical model can be mimicked, up to any finite accuracy, by a completely classical system of equations. An implication of this observation is that Bell's theorem is not applicable in the cases considered. This is explained by scrutinising Bell's assumptions concerning causality, retrocausality, statistical (in-)dependence, and his fear of `conspiracy' (there is no conspiracy in the language used to describe the deterministic models). The most crucial mechanism for the counter intuitive Bell/CHSH violation is the fact that, regardless the settings chosen by Alice and Bob, the initial state of the system should be a realistic one. The potential importance of our construction in model building is discussed.

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摘要：

英文摘要：

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