论文标题
一般相对论和背景洛伦兹转变解决了Supplee的潜艇悖论
General relativity and background Lorentz transformations solve Supplee's submarine paradox
论文作者
论文摘要
相对论水平速度的潜艇在地球的休息框架中下沉，由于收缩的长度，同时似乎漂浮在自己的框架中。使用时空几何和洛伦兹变换，我们表明该分辨率在于度量分量如何在相对运动中的参考框架之间转换。该解决方案使我们摆脱了先前关于牛顿引力如何转变的研究的假设。在一般相对论框架中，背景洛伦兹转化的方法比以前的治疗更简单。此外，我们发现了对悖论的新颖而直观的理解，并纠正了通过Sudplee获得的重力并在文献中再次使用的重力表达。
A submarine moving at relativistic horizontal velocity sinks in Earth's rest frame due to length contraction while appearing to float in its own frame. Using spacetime geometry and the Lorentz transformations, we show that the resolution lies in how metric components transform between reference frames in relative motion. This solution frees us from assumptions made in previous studies on how a Newtonian gravitational force should transform. The method of background Lorentz transformations is technically simpler than previous treatments in the framework of general relativity. Moreover, we find a novel and intuitive understanding of the paradox, and correct an erroneous expression for the gravitational force obtained by Supplee and used again in the literature.
