加速老化的微分公式
Differential aging from acceleration, an explicit formula
摘要：
我们考虑一个时钟的“悖论”的框架，观察者离开惯性系，被加速后，任意旅行回来。我们讨论了一个简单的方程，给出了，在1+1维的情况下，在惯性系上经过的时间和加速度测量的加速观察员在行程中的一个明确的关系。相对于惯性系的非闭合行程看起来相对于另一个合适的惯性系闭合。利用这一观察，我们定义的微分老化作为一个功能的适当的时间，并表明它是非递减的。重建问题的狭义相对论也进行了讨论，表明其，至少数值，解决方案将允许建设一个“惯性钟”。
英文摘要：
We consider a clock 'paradox' framework where an observer leaves an inertial frame, is accelerated and after an arbitrary trip comes back. We discuss a simple equation that gives, in the 1+1 dimensional case, an explicit relation between the time elapsed on the inertial frame and the acceleration measured by the accelerating observer during the trip. A non-closed trip with respect to an inertial frame appears closed with respect to another suitable inertial frame. Using this observation we define the differential aging as a function of proper time and show that it is non-decreasing. The reconstruction problem of special relativity is also discussed showing that its, at least numerical, solution would allow the construction of an 'inertial clock'.
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