回顾对双胞胎悖论的解释

Qiyu Fan
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摘要

双子悖论是狭义相对论中的一个代表性问题。它提出了这样一个问题:从以接近光速运动的宇宙飞船上看,地球的时间会变慢;相反,地球也会认为宇宙飞船的时间变慢。然而,这个悖论的解决方案可以超越狭义相对论和洛伦兹变换。从根本上说,这个看似悖论的问题可以用宇宙飞船掉头的时间段来解决。因此,这可以说是更好地理解相对论的一个好方法。本文从三个方面解释了这一悖论:洛伦兹变换、闵科夫斯基几何、一种包括空间和时间的特殊几何。本文提出的闵科夫斯基几何可以更好地解释狭义相对论和广义相对论中的引力时间膨胀,还将扩展到相对论中的其他效应,如引力红移。本文希望为更好地理解孪生悖论提供一些参考。
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A review of the explanations to the twin paradox
The Twin Paradox is a representative problem in special relativity. It proposed a problem that from a spacecraft that is moving at a speed close to light, the earths time will be slower; in contrast, the earth will also consider the time of the spacecraft slower. However, this paradoxs solution can expand beyond the special relativity and Lorentz transformation. Basically, the seeming paradox can be solved using the period when the spacecraft turns around. Therefore, it can be considered a good way to have a better understanding of relativity. In this paper, this paradox is explained in three ways: the Lorentz transformation, the Minkowski geometry, a special geometry including both space and time, which is proposed to have a better explanation of the special relativity and gravitational time dilation in general relativity, and will also expand to other effects in relativity, such as the gravitational redshift. This paper hopes to offer some references for a better understanding of the Twin Paradox.
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