Problem 1.356

At two points of the reference frame $K$ two events occurred separated by a time interval $\Delta t$ . Demonstrate that if these events obey the cause-and-effect relationship in the frame $K$ (e.g. a shot fired and a bullet hitting a target), they obey that relationship in any other inertial reference frame $K^{\prime}$ .

\begin{aligned} &1.356 . \text { It should be shown first that if } \Delta t=t_{2}-t_{1}>0, \text { then }\\ &\Delta t^{\prime}=t_{\mathrm{a}}^{\prime}-t_{1}^{\prime}>0 \end{aligned}

Relativistic Mechanics