闵可夫斯基时空图的扩展
Extending the abilities of the Minkowski spacetime diagram
摘要：
一个二维闵可夫斯基时空图被整齐地表示在一个欧几里得普通平面上。然而，图上直线的欧几里得长度并不对应于时空中物理量的真实值，除了那些涉及静止参考系的物理量。为了将其能力扩展到其他惯性参考系，我们导出一个因子，该因子乘以实际显示值的大小（在图上），导致任何其他惯性观察者的相应真实测量值。这样做，学生可以从欧几里德图中推断出表达式，这些表达式解释了洛伦兹长度收缩、时间膨胀以及洛伦兹变换，只需使用正则三角函数。
英文摘要：
A two-dimensional Minkowski spacetime diagram is neatly represented on a Euclidean ordinary plane. However the Euclidean lengths of the lines on the diagram do not correspond to the true values of physical quantities in spacetime, except for those referring to the stationary reference frame. In order to extend its abilities to other inertial reference frames, we derive a factor which, multiplied by the magnitude of the actually displayed values (on the diagram), leads to the corresponding true measured values by any other inertial observers. Doing so, the student can infer from the Euclidean diagram plot the expressions that account for Lorentz length contraction, time dilation and also Lorentz Transformations just by using regular trigonometry.
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。
