加速源的最大加速度、扩展相对论动力学和多普勒型位移
The maximal acceleration, Extended Relativistic Dynamics and Doppler type shift for an accelerated source
摘要：
基于广义相对性原理和随之而来的对称性，我们证明了在匀加速系统之间只有两种可能的变换。当且仅当时钟假设为真时，第一种允许的变换类型才成立。如果时钟假说不成立，则变换是洛伦兹型的，并暗示存在一个普适的最大加速度$a_m$。我们提出了一个相对论动力学的扩展，其中所有可接受的解决方案将有一个速度的光速$c$和加速度的$a_m$的范围内。一个额外的多普勒型移动的加速源的预测。这种偏移的公式与通常的多普勒偏移相同，其中$v/c$被$a/a_m$代替。世贸在加速系统中测量横向多普勒频移的Kündig实验也暴露于由于加速度引起的纵向频移。这个实验，正如Kholmetskii等人重新分析的那样，表明时钟假说是无效的。根据实验结果，我们预测最大加速度$a_m$的值为$10^{19}m/s^2$量级。此外，我们的分析提供了一种方法来测量实验与现有技术的最大加速度。
英文摘要：
Based on the generalized principle of relativity and the ensuing symmetry, we have shown that there are only two possible types of transformations between uniformly accelerated systems. The first allowable type of transformation holds if and only if the Clock Hypothesis is true. If the Clock Hypothesis is not true, the transformation is of Lorentz-type and implies the existence of a universal maximal acceleration $a_m$. We present an extension of relativistic dynamics for which all admissible solutions will have have a speed bounded by the speed of light $c$ and the acceleration bounded by $a_m$. An additional Doppler type shift for an accelerated source is predicted. The formulas for such shift are the same as for the usual Doppler shift with $v/c$ replaced by $a/a_m$. The W. Kündig experiment of measurement of the transverse Doppler shift in an accelerated system was also exposed to a longtitudal shift due to the acceleration. This experiment, as reanalyzed by Kholmetskii et al, shows that the Clock Hypothesis is not valid. Based on the results of this experiment, we predict that the value of the maximal acceleration $a_m$ is of the order $10^{19}m/s^2$. Moreover, our analysis provides a way to measure experimentally the maximal acceleration with existing technology.
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。
