论文标题
一个无限长的物体可以适合不断扩展的宇宙吗？
Can an Infinitely Long Object Fit in an Expanding Universe?
论文作者
论文摘要
随着宇宙的扩展，空间是否会扩展其内容？通常我们会说答案是否的 - 空间的拉伸不像可能会拖动东西的橡胶板的拉伸。在本文中，我们探讨了一个潜在的反示例 - 即，我们表明在扩展的宇宙中不可能任意长的对象，因为不可能将对象“固定”的遥远端固定在对我们方面（如Friedmann-Lemaitmann-Lemaitre-Robertre-Robertson-Walker-Walker-Walker-Walker Metric中所定义）。我们表明，这并不意味着扩大空间具有与之相关的力，而是由于我们选择参考框架而产生了一些虚拟力。通过选择我们通常的时机（所有共同观察者都同意宇宙时代的同意），我们选择一个与任何惯性观察者的框架相对应的全局框架。结果，简单的相对论速度会转化会产生明显的加速度，即使不存在力。这种效果类似于描述旋转参考帧中物体的虚拟力，如科里奥利效应而言。
Does space stretch its contents as the universe expands? Usually we say the answer is no - the stretching of space is not like the stretching of a rubber sheet that might drag things with it. In this paper we explore a potential counter example - namely we show that is is impossible to make an arbitrarily long object in an expanding universe, because it is impossible to hold the distant end of the object "stationary" with respect to us (as defined in the Friedmann-Lemaitre-Robertson-Walker metric). We show that this does not mean that expanding space has a force associated with it, rather, some fictitious forces arise due to our choice of reference frame. By choosing our usual time-slice (where all comoving observers agree on the age of the universe), we choose a global frame that does not correspond to the frame of any inertial observer. As a result, simple relativistic velocity transforms generate an apparent acceleration, even where no force exists. This effect is similar to the fictitious forces that arise in describing objects in rotating reference frames, as in the case of the Coriolis effect.
