论文标题
杆环碰撞悖论
Rod-ring collision paradox
论文作者
论文摘要
提出了一个新的明显相对论悖论，仅涉及一个时空事件。这与涉及不同位置的扩展物体或事件的早期相对论悖论不同。在特殊理论相对论的背景下，考虑了杆和环之间的碰撞。一个问题是关于沿杆的长度沿杆和环的两个观察者所说的撞击点的问题。观察者是从纯粹的运动学角度来争论的，倾向于沿杆沿着两个不同的影响点。但是，只能存在一个影响点。为了解决这种明显的悖论，我们使用相对论运动学的异步表述，其中同时相对论的后果被内置在形式主义中。我们表明，这可以调解两个参考框架的描述，因此，新的悖论导致了相对论运动学的异步表述相关性的有力论点。
A new apparent relativistic paradox is presented involving only one space-time event. This is different from earlier relativistic paradoxes involving extended bodies or events at different positions. A collision between a rod and a ring impacting at an oblique angle to each other is considered in the context of the special theory relativity. A question arises as to where along the length of the rod the point of impact will be according to two observers following the rod and the ring, respectively. The observers argue from a purely kinematical point of view in favor of two different points of impact along the rod. However there can only exist one point of impact. In order to solve this apparent paradox we use the asynchronous formulation of relativistic kinematics in which the consequences of the relativity of simultaneity are built into the formalism. We show that this reconciles the descriptions from the two frames of reference, and hence that the new paradox leads to a strong argument for the relevance of the asynchronous formulation of relativistic kinematics.
