论文标题

量子因果关系和从连贯叠加的现实的出现

Quantum causality relations and the emergence of reality from coherent superpositions

论文作者

Hofmann, Holger F.

论文摘要

希尔伯特空间形式主义将因果关系描述为初始实验条件与最终测量结果之间的统计关系,这是由代表这些条件的状态向量的内部产物表达的。这种因果关系的代表与经典观念的基本冲突,即应因中间现实的连续性而表达因果关系。量子力学本质上用相位敏感的叠加取代了现实的这种连续性,所有这些都需要干预以产生可观察到的输入 - 输出关系的正确条件概率。在本文中,我通过识别中间状态可以具有真正的外部效应的条件,研究现实的经典概念与量子叠加之间的关系,如测量算子所插入内部产品的测量运算符所表达的那样。结果表明,经典现实出现在宏观层面上,其中测量分辨率的相关限制是由经典解决方案的动作方差给出的。因此,可以证明,客观现实的经典概念仅出现在宏观层面上,在宏观层面上,观察结果仅限于缺乏足够强大的中间相互作用而限制为低分辨率。该结果表明,因果关系比客观现实的概念更重要,这意味着可以通过仔细地区分可观察到的因果关系和不可观察的假设现实的“外面”。

The Hilbert space formalism describes causality as a statistical relation between initial experimental conditions and final measurement outcomes, expressed by the inner products of state vectors representing these conditions. This representation of causality is in fundamental conflict with the classical notion that causality should be expressed in terms of the continuity of intermediate realities. Quantum mechanics essentially replaces this continuity of reality with phase sensitive superpositions, all of which need to interfere in order to produce the correct conditional probabilities for the observable input-output relations. In this paper, I investigate the relation between the classical notion of reality and quantum superpositions by identifying the conditions under which the intermediate states can have real external effects, as expressed by measurement operators inserted into the inner product. It is shown that classical reality emerges at the macroscopic level, where the relevant limit of the measurement resolution is given by the variance of the action around the classical solution. It is thus possible to demonstrate that the classical notion of objective reality emerges only at the macroscopic level, where observations are limited to low resolutions by a lack of sufficiently strong intermediate interactions. This result indicates that causality is more fundamental to physics than the notion of an objective reality, which means that the apparent contradictions between quantum physics and classical physics may be resolved by carefully distinguishing between observable causality and unobservable sequences of hypothetical realities "out there".

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