旋转圆盘上的同步时钟和时间
Synchronized clocks and time on a rotating disc
摘要:
“时间”定义的基础是在静止条件下运行的时钟。通过两次返回实验可以比较两个时钟的周期。中心时钟在旋转和惯性系之间起着中介作用。量纲论证和详细的推导表明,在惯性系中外部测量的旋转时钟的周期与内部定义的周期相同。有一个共同的同步时间,特别是“绝对”的一致性和飞行时间的不变性举行。这就允许对孪生问题进行新的讨论。旋转圆的不变性允许惯性极坐标转移到旋转平面。光脉冲的飞行时间服从广义的费马原理。如果射线定义良好,则该飞行时间决定波的相移和干涉实验的结果。所有的一般考虑和证明都与相对论无关,特别是与局域惯性系的概念和微分几何技术无关。
英文摘要:
Basic for the definition of 'time' are clocks operating under stationary conditions. The periods of two clocks can be compared with each other via two return experiments. The central clock mediates between the rotating and the inertial frame. Dimensional arguments and a detailed deduction show that the period of a rotating clock, measured externally in the inertial system, is the same as the internally defined one. There is a common synchron-time, especially 'absolute' simultaneity and invariance of flight times hold. This allows a new discussion of the twin problem. The invariance of a rotating circle allows the transference of the inertial polar coordinates to the rotating plane. The flight time of a light pulse obeys a generalized Fermat's principle. If rays are well defined, this time of flight determines the phase shift of the wave and the result of interference experiments. All general considerations and proofs are independent of the relativity theory, especially of the concept of local inertial systems and differential-geometrical techniques.
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。