Life on a closed timelike curve seems pretty drab.
在一个封闭的时间型曲线中，生活看来是很单调的。
Do closed timelike curves necessarily lead to paradoxes?
封闭的时间型曲线一定会导致矛盾吗？
Closed timelike curves, in other words, make the future resemble the past.
换句话说，封闭的时间型曲线让未来代表了过去。
Consistent stories are possible, even in space-times with closed timelike curves.
而如果在拥有封闭的时间型曲线的时空里，和谐一致的情况就可能是存在的。
Let's say we start in a universe that, at some particular moment, has no closed timelike curves.
我们在宇宙中是以一些特定时刻来起始的，没有封闭的时间型曲线。
Closed timelike curves would make such a program impossible, as a simple thought experiment reveals.
封闭的时间型曲线会让这样进行的程序不复存在，就如同一项简单的思维实验所揭示的那样。
But in the presence of closed timelike curves, some events are in our past and also in our future.
而当出现了封闭的时间型曲线时，一些事件既出现在过去，也正在未来出现。
This ability vanishes as soon as someone builds a time machine and creates a closed timelike curve.
在有人制造出时间机器，又创造出一个封闭的时间型曲线后，这种预测能力很快就消失了。
We can insist all we like that what happens in the presence of closed timelike curves be consistent.
我们可以坚持凭喜好认为，在封闭的时间型曲线中所出现的情况都是一致的。
Indeed, closed timelike curves can make it impossible to de-fine "the universe at one moment in time."
事实上，封闭的时间型曲线能让“在某个特定的时刻中的宇宙”不能自圆其说。
Do we value determinism so highly that we should reject the possibility of closed timelike curves entirely?
我们能将决定论的价值高估到要彻底拒绝承认封闭的时间型曲线存在吗？
The ultimate answer to the puzzles raised by closed timelike curves is probably that they simply cannot exist.
由封闭的时间型曲线引起的这些困惑，它们的最终答案也许是这些曲线不可能存在。
If we use a closed timelike curve to observe something about our future actions, those actions become predestined.
如果我们用一个封闭的时间型曲线来观察未来的行为，那么这些行为就成了预先注定的。
The nub of the problem is that you cannot have a consistent “arrow of time” in the presence of closed timelike curves.
问题的关键在于在封闭的时间型曲线中没有一个连续一致的“时间箭头”。
In general, events along a closed timelike curve cannot be compatible with an uninterrupted increase of entropy along the curve.
通常，沿着一个封闭的时间型曲线发生的事件不可能与沿着这个曲线不间断地增加的一致性相符合。
If physicists discover that closed timelike curves really can exist, we will have to dramatically rethink the way we understand time.
如果物理学家发现封闭的时间型曲线确实存在，我们将不得不彻底重新思考理解时间的方式。
A closed timelike curve seems to imply predestination: we know what is going to happen to us in the future because we witnessed it in our past.
一个封闭的时间型曲线可能暗示着命运注定：我们知道未来自己身上会发生什么状况，因为我们已经在自己的过去目睹了这些情景。
There is a factor which depends on the breaking scale in the formula of deflection Angle of timelike and spacelike test particles in the D-stars.
对于这类冷天体的类光和类时测试粒子的偏转角公式存在一个依赖于破缺标度的因子。
We established the local theories of the curves which are in the semi-Euclidean 4-space, especially, we considered some special ones of the timelike curve.
建立了R_2 ~ 4空间中曲线的局部理论，特别地，我们考虑了类时曲线中的一些特殊曲线。
There is a factor which depends on the breaking scale in the formula of angle of deflection of timelike and spacelike test particles in this kind of cold stars .
对于这类冷天体的类光和类时测试粒子的偏转角公式存在一个依赖于破缺标度的因子。
The warping associated with the closed timelike curve could cause our slice to twist back on itself, making it impossible to divide all of space-time into distinct moments.
与封闭的时间型曲线相关的这种扭曲会导致我们的切分转回原处，不可能把所有的时空分成各自不同的时刻。
You can no more change events in your past in a space-time with closed timelike curves than you can change events that already happened in ordinary space-time, with no closed timelike curves.
对发生在过去的一个封闭的时间型曲线时空里的事，你不可能改变。这就类似于说，在没有封闭的时间型曲线的平常时空中，你能改变已经发生的事。
If closed timelike curves exist, ensuring that all events are consistent is just as strange and unnatural to us as a movie played backward, or any other example of evolution that decreases entropy.
如果存在封闭的时间型曲线，那么确信所有事件都保持一致对我们来说就既奇怪又不合乎自然规律，感觉就象从后往前播放电影，或者是其他任何减少一致性的演变实例。
If closed timelike curves exist, ensuring that all events are consistent is just as strange and unnatural to us as a movie played backward, or any other example of evolution that decreases entropy.
如果存在封闭的时间型曲线，那么确信所有事件都保持一致对我们来说就既奇怪又不合乎自然规律，感觉就象从后往前播放电影，或者是其他任何减少一致性的演变实例。
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