The Other Frame is moving in the $+x$ direction with $x$-velocity $\beta=0.25$ with respect to the Home Frame. The two-observer space time diagram in figure R5.9 shows the diagram $t$ and $x$ axes of the Home Frame and the diagram $t^{\prime}$ axis of the Other Frame. Which of the choices in that figure would best correspond to the diagram $x^{\prime}$ axis if the Newtonian concept of time were true?

Question

Quizplus · Accepted Answer

The $x$ and $x^{\prime}$ axes on a space time diagram are by definition the set of all events that occur at $t=0$ and $t^{\prime}$ $=0$, respectively. If the Newtonian concept of time were true, $t=t$, so the two axes should coincide.

The Other Frame Is Moving in The +x+x+x Direction With xxx -Velocity β=0.25\beta=0.25β=0.25

The Other Frame Is Moving in The $+x$ Direction With $x$ -Velocity $\beta=0.25$