Does a spacelike worldline exist?

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I'm writing some notes and I don't know if the term "worldline" is used only for timelike paths. When referring to spacelike trajectories, I have been using the word "curve" so far. Can I use "worldline" too?
 

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  • #2
Ibix
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A worldline is the path followed by something through spacetime. It can therefore be timelike or null. Until we discover tachyons, it can't be spacelike.
 
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  • #3
anuttarasammyak
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Trajectories you say gives me a false image that particles goes along it. So space like lines, e.g. lines of synchronization, should be called just "lines" with no world-, trajectory or orbit.
 
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  • #4
Dale
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When referring to spacelike trajectories, I have been using the word "curve" so far. Can I use "worldline" too?
I would continue using curve. Worldline implies that the curve represents the position of some particle or object.
 
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