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arXiv quant-ph/0210207quant-ph
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非局域粒子动力学中的两个时间箭头

Two Arrows of Time in Nonlocal Particle Dynamics

Roderich Tumulka

摘要:

如果逆向因果关系是可能的,考虑世界会是什么样子通常是令人费解的。在这里,我讨论的是更容易研究的东西:一个玩具模型,它包含了一种非常有限的反向因果关系。利用一类具有负时滞的微分时滞方程定义了粒子世界线。该模型大概禁止信号的过去和超光速信号,但允许非定域性,而完全协变。这就是模型的价值所在:它是洛伦兹不变非定域性可能性的一个明确例子。这是令人惊讶的,因为许多作者认为非定域性,特别是粒子世界线的非定域定律,一定与相对论相冲突。这个模型的发展灵感来自于寻找一个完全协变版本的玻姆力学。

英文摘要:

Considering what the world would be like if backwards causation were possible is usually mind-bending. Here I discuss something that is easier to study: a toy model that incorporates a very restricted sort of backwards causation. It defines particle world lines by means of a kind of differential delay equation with negative delay. The model presumably prohibits signalling to the past and superluminal signalling, but allows nonlocality while being fully covariant. And that is what constitutes the model's value: it is an explicit example of the possibility of Lorentz invariant nonlocality. That is surprising in so far as many authors thought that nonlocality, in particular nonlocal laws for particle world lines, must conflict with relativity. The development of this model was inspired by the search for a fully covariant version of Bohmian mechanics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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