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Let's go back to Object A mentioned on the now locked thread posted earlier.

Object A sees Object B fly by at close to the speed of light. A figures the clocks are moving more slowly on B. So A decides to verify this information. A turns on its thrusters and begins to catch up with B. As A accelerates, A notices that the clocks on B are now moving more and more normally. By the time A catches up with B, the clocks are moving at the same speed and at no point did B have a chance to catch up with A on his clocks. Therefore, A must be ahead of B. There is no way B can be anything but behind A since there is no opportunity for that to happen.

However, from B's point of view, all he saw was A fly by with slower clocks. He then seens A slow down, and stop. Here again, from B's point of view, A did not have the opportunity to catch up with the B clocks.

Here is the 2 million Euro question: At which point did the clocks agree on anything? When the two objects meet, the clocks must say something. What do they say?