洛伦兹变换、时间膨胀、长度收缩和多普勒效应-同时发生
Lorentz transformation, time dilation, length contraction and Doppler Effect - all at once
摘要：
本文给出了同一事件的时空坐标的洛伦兹变换的一个简单推导。它是基于观测者在相对运动中所测得的长度和时间间隔的相对特性。我们首先承认，相对运动以某种特殊的方式改变了这些测量的结果。然而，我们并不假设这种扭曲的特征，即无论它是膨胀还是收缩。解释长度收缩、时间膨胀和多普勒频移的公式是这个推导的副产品。
英文摘要：
We present a simple derivation of the Lorentz transformations for the space-time coordinates of the same event. It is based on the relative character of length and time interval as measured by observes in relative motion. We begin by accepting that the relative motion modifies in some particular way the result of these measurements. However we do not postulate the character of this distortion i.e. whatever it is dilation or contraction. The formulas accounting for length contraction, time dilation and Doppler shift are a byproduct of this derivation.
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。
