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  3. the coordinates of two spacetime events are given

The coordinates of two spacetime events are given by (ct1, x1) = (2, 5) and (ct2,...

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Physics

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

Answer & Explanation Solved by verified expert
4.2 Ratings (1019 Votes)
The ST coordinates areThe Space Time interval isNow the new frame is moving with velocityThe boosted frames time and space    See Answer
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