相对论运动物体在二维平面上的投影、“训练”佯谬和洛伦兹收缩的可见性
Projection of relativistically moving objects on a two-dimensional plane, the `train' paradox and the visibility of the Lorentz contraction
摘要：
虽然许多论文已经出现了理论的摄影相对论运动的物体，开创了经典的工作彭罗斯和特雷尔，三个问题仍然突出。(1)似乎不存在一个普遍的公式，它给出了一个相对运动的物体的投影，适用于任何物体，无论多么复杂，在一个二维平面上，符合特雷尔的观察。(2)似乎没有为相关的所谓“训练”悖论提供解决办法。(3)关于如何在照片上实际检测到洛伦兹收缩，似乎没有提供任何分析证明。本文针对这三个问题展开论述。这种分析只需要三角学和初等微分。
英文摘要：
Although many papers have appeared on the theory of photographing relativistically moving objects, pioneered by the classic work of Penrose and Terrell, three problems remain outstanding. (1) There does not seem to exist a general formula which gives the projection of a relativistically moving object, applicable to any object no matter how complicated, on a two-dimensional plane in conformity with Terrell's observation. (2) No resolution seems to have been provided for the associated so-called `train' paradox. (3) No analytical demonstration seems to have been offered on how the Lorentz contraction may be actually detected on a photograph. This paper addresses all of these three problems. The analysis does not require any more than trigonometry and elementary differentiation.
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。
