Answer :
A horizontal worldline corresponds to something moving infinitely fast. An object traveling at the speed of light has a worldline of exactly 45 degrees from horizontal. The worldline of an object moving slower than light is closer to vertical.
And the worldline of an object moving faster than light (if that were possible) would be closer to horizontal. The thread connecting the pearl events, tracing out the path of a particle through spacetime, has an evocative name: worldline. Events - pearls in spacetime - exist independent of any reference frame we may choose to describe them. Worldline strings these event pearls together. The worldline, too, exists independent of any reference frame. We can draw this worldline of a particle on the spacetime map for this reference frame.
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