# The maximal acceleration, Extended Relativistic Dynamics and Doppler type shift for an accelerated source - Physics > Classical Physics

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Abstract: Based on the generalized principle of relativity and the ensuing symmetry, wehave shown that there are only two possible types of transformations betweenuniformly accelerated systems. The first allowable type of transformation holdsif and only if the Clock Hypothesis is true. If the Clock Hypothesis is nottrue, the transformation is of Lorentz-type and implies the existence of auniversal maximal acceleration $a m$.We present an extension of relativistic dynamics for which all admissiblesolutions will have have a speed bounded by the speed of light $c$ and theacceleration bounded by $a m$. An additional Doppler type shift for anaccelerated source is predicted. The formulas for such shift are the same asfor the usual Doppler shift with $v-c$ replaced by $a-a m$.The W. K\-{u}ndig experiment of measurement of the transverse Doppler shiftin an accelerated system was also exposed to a longtitudal shift due to theacceleration. This experiment, as reanalyzed by Kholmetskii et al, shows thatthe Clock Hypothesis is not valid. Based on the results of this experiment, wepredict 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 experimentallythe maximal acceleration with existing technology.

Author: ** Yaakov Friedman**

Source: https://arxiv.org/