The coordinates of two spacetime events are given by (ct1, x1) =(2, 5) and (ct2, x2) = (3, 3) in an inertial reference frame K.
a) Calculate the squared spacetime interval between theseevents. Is their spacetime separation spacelike or timelike? (
b) Transform the co-ordinates of this pair of events to a newreference frame, K0 moving relative to the one used in (a) with aconstant speed u = −2 × 108m/s in the x direction. Explicitly showthat the squared spacetime interval between the events is the samein the new reference frame.
(c) Compare the time ordering of events in the two referenceframes – you should find that the ordering has changed. In generalsuch a change of ordering would lead to causal paradoxes, forexample: the girl calls her dog, the dog obeys; versus, the dogobeys, the girl calls her dog. Explain (with the aid of a spacetimediagram) why this is not a problem in the case of the eventsanalysed in this question
