论文标题
过去，现在和未来的概念是否与相对论的一般理论兼容？
Are the notions of past, present and future compatible with the General Theory of Relativity?
论文作者
论文摘要
为了确定哪种时间理论与相对论的空时最兼容，时间和因果关系的概念以及时间和B理论都得到了重新审视。通过考虑可定向的空间并定义时间取向，我们将相对论时间序列的概念形式化； A理论和B理论在一般相对论的形式主义中给出了数学描述。结果，在时间到定位的空间中，发现未来和过去的事件的概念（这是A理论上的概念）比比其他事件早或更晚的事件的概念更为基本，而事件的概念是B理论的概念。此外，我们发现B理论的概念与在全球双曲机空间中遇到的某些结构不相容，即过去和将来的不可延伸曲线。因此，GR对A理论以及过去，现在和未来的概念有利。
The notions of time and causality are revisited, as well as the A- and B-theory of time, in order to determine which theory of time is most compatible with relativistic spacetimes. By considering orientable spacetimes and defining a time-orientation, we formalize the concepts of a time-series in relativistic spacetimes; A-theory and B-theory are given mathematical descriptions within the formalism of General Relativity. As a result, in time-orientable spacetimes, the notions of events being in the future and in the past, which are notions of A-theory, are found to be more fundamental than the notions of events being earlier than or later than other events, which are notions of B-theory. Furthermore, we find that B-theory notions are incompatible with some structures encountered in globally hyperbolic spacetimes, namely past and future inextendible curves. Hence, GR is favorable to A-theory and the notions of past, present and future.
