time travel

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Particle X travels from Point A to Point B in Path 1 in one "timeline".
Particle X travels from Point A to Point B in Path 2 in another "timeline".
Both Paths intersect at the red intersection point in pic related.
Choosing that point as well as Point A and Point B creates a triangle of least area.
If the two paths cross only once, then the probability of the area of the triangle is continuous and is a function of time & space traveled between Point A and Point B.
This is assuming that a 2d plane is utilized.
If you were to bend space and time, you could have Point A and Point B on the same "point", so to speak, where the intersection point may or may not lie on this theoretical Point AB.
So if this theory is correct, is velocity a factor in time travel?