Time desynchronization and Ehrenfest paradox

埃伦费斯特悖论：细致考察

Ehrenfest Paradox: A Careful Examination

本文在狭义相对论框架下分析旋转圆环的埃伦费斯特悖论，比较两种加速方式下的长度变化与完整性，指出二者均无法实现 Born 刚性转动。

The Dynamics of Relativistic Length Contraction and the Ehrenfest Paradox

Relativistic kinematics is usually considered only as a manifestation of pseudo-Euclidean (Lorentzian) geometry of space-time. However, as it is explicitly stated in General Relativity, the geometry itself depends on dynamics, specifically, on the energy-momentum tensor. We discuss a few examples, which illustrate the dynamical aspect of the length-contraction effect within the framework of Special Relativity. We show some pitfalls associated with direct application of the length contraction formula in cases when an extended object is accelerated. Our analysis reveals intimate connections betw…

Space, Time and Coordinates in a Rotating World

The peculiarities of rotating frames of reference played an important role in the genesis of general relativity. Considering them, Einstein became convinced that coordinates have a different status in the general theory of relativity than in the special theory. This line of thinking was confused, however. To clarify the situation we investigate the relation between coordinates and the results of space-time measurements in rotating reference frames. We argue that the difference between rotating systems (or accelerating systems in general) and inertial systems does not lie in a different status …