Suppose two children are standing 100m apart one of them starts running towards the other with relativistic speed...which clock would be slower?
Note- I thought this was similar to the twins paradox but according to the solution i found for the paradox some time is unaccounted because of change in velocity....this is obviously not the case here
I assume the twins are originally stationary with respect to one another and their clocks are synchronized, which can be accomplished by exchanging light signals. Then if one of the twins accelerates toward the other, that twin's spacetime path is curved (non-geodesic) and hence will be shorter in proper duration, and when the running twin passes the stationary twin the running twins clock will be behind that of the stationary twin.
