arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1906.11642physics.class-phastro-ph.IMphysics.pop-ph
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伽莫夫的自行车:双目观测者相对论测量的新视角

Gamow's Cyclist: A New Look at Relativistic Measurements for a Binocular Observer

E. C. Cryer-Jenkins, P. D. Stevenson

摘要:

自狭义相对论诞生以来,以相对论速度运动的物体的可视化一直是一个热门的研究课题。虽然该理论的标准解释描述了某些形状变化的效应,例如洛伦兹收缩,但它没有提到扩展的物体如何出现在快照中,或者如何使用明显的扭曲进行测量。以前关于这个主题的研究已经推导出了物体的表观形式,经常提到乔治·伽莫夫的相对论循环思想实验。在这里,一个严格的重新分析的骑自行车的人,这一次在3维,进行了一个双目观察者,占在明显的位置和相对论的颜色和强度的变化所经历的一个快速移动的对象的失真。然后介绍了分析双目相对论数据的方法,允许拟合物体视位置的实验读数,以确定到物体的距离及其速度。然后将该方法应用于伽莫夫的自行车手的模拟,产生自洽的结果。

英文摘要:

The visualisation of objects moving at relativistic speeds has been a popular topic of study since Special Relativity's inception. While the standard exposition of the theory describes certain shape-changing effects, such as the Lorentz-contraction, it makes no mention of how an extended object would appear in a snapshot or how apparent distortions could be used for measurement. Previous work on the subject has derived the apparent form of an object, often making mention of George Gamow's relativistic cyclist thought experiment. Here, a rigorous re-analysis of the cyclist, this time in 3-dimensions, is undertaken for a binocular observer, accounting for both the distortion in apparent position and the relativistic colour and intensity shifts undergone by a fast moving object. A methodology for analysing binocular relativistic data is then introduced, allowing the fitting of experimental readings of an object's apparent position to determine the distance to the object and its velocity. This method is then applied to the simulation of Gamow's cyclist, producing self-consistent results.

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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