论文标题

波哈机械不是确定性的

Bohmian mechanics is not deterministic

论文作者

Landsman, Klaas

论文摘要

我认为,波哈米亚力学(或任何类似的试点波理论)不能合理地认为是确定性理论。如果假设宇宙的波函数提供了“量子平衡分布”,那么Bohmian力学需要一个外部随机甲骨文,以描述(Kolmogorov-Levin-Chaitin)算法随机性的(Kolmogorov-Levin-Chaitin)算法随机性的典型典型结果序列的典型结局序列的长期相结合序列的重复相同实验(从出生的统治下)。该甲骨文超出了波哈米亚力学(或其任何确定性扩展)的范围,包括不可能从“随机”初始条件中解释所讨论的随机性属性。因此,波尔米亚力学比量子力学的其他解释(如果有的话)的优势必须位于本体论层面,并具有得出量子平衡分布的潜力,从而导致出生的规则。

I argue that Bohmian mechanics (or any similar pilot-wave theory) cannot reasonably be claimed to be a deterministic theory. If one assumes the "quantum equilibrium distribution" provided by the wave function of the universe, Bohmian mechanics requires an external random oracle in order to describe the (Kolmogorov-Levin-Chaitin) algorithmic randomness properties of typical outcome sequences of long runs of repeated identical experiments (which provably follow from the Born rule). This oracle lies beyond the scope of Bohmian mechanics (or any deterministic extension thereof), including the impossibility of explaining the randomness property in question from "random" initial conditions. Thus the advantages of Bohmian mechanics over other interpretations of quantum mechanics, if any, must lie at an ontological level, and in its potential to derive the quantum equilibrium distribution and hence the Born rule.

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