论文标题
具有封闭时间曲线和选择自由的可逆动态
Reversible dynamics with closed time-like curves and freedom of choice
论文作者
论文摘要
一般相对论的理论预测了封闭的时间曲线（CTC）的存在，从理论上讲，观察者可以及时地旅行并与他们过去的自我互动。这就提出了一个问题，即这是否可以产生祖父悖论，在这种悖论中，观察者以防止自己的时间旅行的方式进行互动。先前的研究提出了一个与非平凡时间旅行兼容的确定性，可逆，动态的框架，在这种框架中，时空不同区域的观察者可以执行任意的局部操作而不会产生矛盾。但是，只有最多三个区域的场景才被充分表征，仅揭示了一种类型的过程，在该过程中，观察者可以在过去和彼此之间进行验证。在这里，我们将此特征扩展到任意数量的区域，并发现存在几个不等过程，这些过程只能由于非平凡的时间旅行而产生。这支持了在存在CTC的情况下进行复杂动态的观点，该动态与自由选择本地操作兼容，并且没有不一致之处。
The theory of general relativity predicts the existence of closed time-like curves (CTCs), which theoretically would allow an observer to travel back in time and interact with their past self. This raises the question of whether this could create a grandfather paradox, in which the observer interacts in such a way to prevent their own time travel. Previous research has proposed a framework for deterministic, reversible, dynamics compatible with non-trivial time travel, where observers in distinct regions of spacetime can perform arbitrary local operations with no contradiction arising. However, only scenarios with up to three regions have been fully characterised, revealing only one type of process where the observers can verify to both be in the past and future of each other. Here we extend this characterisation to an arbitrary number of regions and find that there exist several inequivalent processes that can only arise due to non-trivial time travel. This supports the view that complex dynamics is possible in the presence of CTCs, compatible with free choice of local operations and free of inconsistencies.
