Time Intervals Measured by Two Observers in Relative Motion

It has been shown previously that when for two inertial observers A and B in relative motion, the value of the distance between A and B measured by observer B in a frame where B is stationary is the same as that obtained by observer A in a frame where A is stationary. The present study will show that the time interval for observer A to meet observer B measured by observer B in a frame where B is stationary is the same as that for observer B to meet observer A obtained by observer A in a frame where A is stationary. The proof is based on two fundamental conditions of special relativity: 1) the space time interval between two events in the Minkowski space is independent of the inertial reference frame chosen; and 2) there is no privileged reference frame and all inertial reference frames are equal.