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Accelerated Clock

Similarly, if B is controlled by an accelerated clock, then the corresponding three events are

(T,Z)=b(\sinh{n\Delta\tau},\cosh{n\Delta\tau}), ~~~~~~~n=n_1,n_2~.

$\displaystyle {(t,z)=}$
    $\displaystyle be^{\Delta\tau(n_1-n_2)/2}\left(\sinh \frac{n_2+n_1}{2}\Delta\tau ~,~
\cosh \frac{n_2+n_1}{2}\Delta\tau\right).$  

They are marked in an analogous way in Figure 10.

Equation (13) or (14) relates in mathematical form a scattering event to the ticking of a single geometrical clock chosen as a standard. This relationship has been established by the method of radar in terms of the integers $n_1$ and $n_2$.

Ulrich Gerlach 2003-02-25