Sunday 18 October 2020

special relativity - The order of seeing event in different spacetimes


Assume this question:



Three events A, B, C are seen by observer O to occur in the order ABC. Another observer O$^\prime$ sees the events to occur in the order CBA. Is it possible that a third observer sees the events in the order ACB?



I could draw spacetime diagram for three arbitrary-ordered events for O and O$^{\prime}$. But I couldn't draw spacetime diagram for third observer. Could someone help me figure this out?



Answer



Provided the intervals between all events are spacelike they can appear in any order. See this article for a popular science level description, or this paper for the full details.


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