对Eppley-Hannah论证的简单反驳
Simple Refutation of the Eppley-Hannah argument
摘要：
在一篇有影响力的论文中，埃普利和汉娜提出了一个思想实验，涉及经典引力波与量子物质的相互作用，认为引力必然是量子化的。他们认为这种相互作用要么违反了不确定原理，要么允许超光速信号。在我们的宇宙中实施他们的实验的可行性受到了马丁利的挑战，而Huggett和Callender以及Albers等人也注意到了这个论点的其他局限性。然而，这些批评并没有直接反驳这样一种说法，即把量子理论与哥本哈根坍缩假设耦合到不可纠缠的经典引力自由度会导致矛盾。我在这里注意到，如果引力场通过定域量子态与物质相互作用，那么埃普利-汉娜论证显然是失败的。这似乎是一个混合理论的合理的自然特征，而埃普利-汉娜所考虑的替代方案显然与相对论不一致。
英文摘要：
In an influential paper, Eppley and Hannah argued that gravity must necessarily be quantized, by proposing a thought experiment involving classical gravitational waves interacting with quantum matter. They argue the interaction must either violate the uncertainty principle or allow superluminal signalling. The feasibility of implementing their experiment in our universe has been challenged by Mattingly, and other limitations of the argument have been noted by Huggett and Callender and by Albers et al.. However, these critiques do not directly refute the claim that coupling quantum theories with a Copenhagen collapse postulate to unentanglable classical gravitational degrees of freedom leads to contradiction. I note here that if the gravitational field interacts with matter via the local quantum state, the Eppley-Hannah argument evidently fails. This seems a plausibly natural feature of a hybrid theory, whereas the alternative considered by Eppley-Hannah is evidently inconsistent with relativity.
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