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arXiv 1606.02152gr-qc
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弯曲时空中孪生子佯谬的计算方法

A computational approach to the twin paradox in curved spacetime

Kenneth K. H. Fung, Hamish A. Clark, Geraint F. Lewis, Xiaofeng Wu

摘要:

尽管孪生“悖论”是狭义相对论教学中的一个主要组成部分,但在广义相对论的课程中通常不进行研究。由于这个问题的分析解决方案的复杂性,悖论往往被完全忽视,学生们对时间的相对论行为的理解不完整。本文概述了一个项目,在悉尼大学的本科物理学生,在其中一个新的计算方法,以预测经历了一个双胞胎以下的两个给定的时空坐标之间的一些路径的时间。通过使用这种方法,可以让学生们清楚地知道,在弯曲时空中遵循测地线并不总是导致最大的经验真时。

英文摘要:

Despite being a major component in the teaching of special relativity, the twin `paradox' is generally not examined in courses on general relativity. Due to the complexity of analytical solutions to the problem, the paradox is often neglected entirely, and students are left with an incomplete understanding of the relativistic behaviour of time. This article outlines a project, undertaken by undergraduate physics students at the University of Sydney, in which a novel computational method was derived in order to predict the time experienced by a twin following a number of paths between two given spacetime coordinates. By utilising this method, it is possible to make clear to students that following a geodesic in curved spacetime does not always result in the greatest experienced proper time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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