论文标题
研究IVES-Stilwell-type实验的数据分析研究
Study on data analysis for Ives-Stilwell-type experiments
论文作者
论文摘要
Ives-Stilwell实验在1938年是一个历史性的实验，用于证实爱因斯坦的特殊相对论，并且通过使用激光技术重复了各种现代类型。在本文中，我们揭示并解决了一个持久的未识别的基本问题，所有这些实验的数据分析与爱因斯坦对相对论多普勒效应的定义不一致，因此实际上并未确认多普勒效应。例如，在信函[物理学\，修订\，Lett。 $ \ varepsilon = 0 $保留。基于第一原则，我们提出了合理的数据分析，并在IVES-Stilwell-type实验中正确确认了多普勒效应，从而通过多普勒效应对Lorentz不变性进行了巨大进步。本文中提出的数据分析非常简单，但这是基于第一原理的正确思考方式的结果：（i）爱因斯坦的多普勒效应是指在两个相对运动的两个惯性框架中表现出不同频率的相同光子（或激光束），并且必须确认数量（或测量）的效果。但是，在对1938年实验的分析中建立的思维方式并不符合第一原则，因此研究人员甚至没有认识到他们的实验测试实际上不支持爱因斯坦的多普勒效应，尽管这种思维方式被相当多的物理学家模仿了这种思维方式。
Ives-Stilwell experiment in 1938 was a historic experiment for confirming Einstein's special relativity, and various modern types have been repeated by use of laser technology. In this paper, we reveal and solve a long-lasting unrecognized fundamental issue that the data analysis for all those experiments was not consistent with Einstein's definition of the relativistic Doppler effect so that the Doppler effect was not actually confirmed. For example, in the Letter [Phys.\,Rev.\,Lett.\,113, 120405 (2014)] the definition of the measurement accuracy of Doppler effect, given by $\varepsilon=\sqrt{ν_aν_p/(ν_1ν_2)}-1$, is not physical because Einstein's Doppler formula cannot be confirmed even when $\varepsilon = 0$ holds. Based on first principles, we propose a justified data analysis and correctly confirm the Doppler effect in the Ives-Stilwell-type experiment, thus resulting in a great advance in the experimental verification of Lorentz invariance via the Doppler effect. The proposed data analysis in the paper is quite straightforward, but it is the result of the correct way of thinking based on first principles: (i) Einstein's Doppler effect refers to the same photon (or laser beam) exhibiting different frequencies observed in two inertial frames of relative motion, and (ii) the quantity (or measurement accuracy) used as a measure to confirm the effect must be able to confirm Einstein's Doppler formula itself. However, the way of thinking set up in analysis of the 1938 experiment did not comply with the first principles so that the researchers even did not recognize that their experimental test actually did not support Einstein's Doppler effect, although this way of thinking had been mimicked by quite a few generations of physicists.
