B Julius Caesar Problem from a SpaceTime Physics book

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Nugatory

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Yes, that is more like the usual convention in SR problems: if you have two observers, make the spacetime origin the point where their worldlines cross. But this particular problem doesn't do that.
The origin of a coordinate system is the point that you’ve chosen to call ##(x=0,t=0)##. The only reason elementary problems often show worldlines crossing there is to make it easy to say “they zero their clocks as they pass one another” without involving a clock synchronization procedure; this problem was designed to show how things work away from the origin.
 

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