Ever since Eddington’s analysis of the gravitational redshift a century ago, and the arguments in the relativity community that it produced, fine details of the roles of proper time and coordinate time in the redshift remain somewhat obscure. We shed light on these roles by appealing to the physics of the uniformly accelerated frame, in which coordinate time and proper time are well defined and easy to understand; and because that frame exists in flat spacetime, special relativity is sufficient to analyse it. We conclude that Eddington’s analysis was indeed correct—as was the 1980 analysis of his detractors, Earman and Glymour, who (it turns out) were following a different route. We also use the uniformly accelerated frame to pronounce invalid Schild’s old argument for spacetime curvature, which has been reproduced by many authors as a pedagogical introduction to curved spacetime. More generally, because the uniformly accelerated frame simulates a gravitational field, it can play a strong role in discussions of proper and coordinate times in advanced relativity.

中文翻译：

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均匀加速的框架作为分析重力红移的试验台

自从一个世纪前爱丁顿对引力红移的分析及其在相对论界产生的争论以来，关于适当时间和协调时间在红移中作用的精细细节仍然有些晦涩。我们通过匀速加速框架的物理学来阐明这些角色，在这种加速框架中，坐标时间和适当的时间被很好地定义并且易于理解。并且由于该框架存在于平坦的时空中，因此相对论足以分析它。我们得出的结论是，爱丁顿的分析确实是正确的，就像1980年对他的批评者Earman和Glymour的分析一样（事实证明），他们走的是一条不同的路线。我们还使用统一加速帧来宣告无效的Schild旧时空曲率参数，许多作者都将其复制为弯曲时空的教学介绍。更一般而言，由于均匀加速的框架模拟了引力场，因此它在讨论相对论中的适当时间和坐标时间方面可以发挥重要作用。