Friday, 20 January 2017
(i) Two people, A and B, time travel. They meet in 2025, then, shortly afterwards from A's point of view, they meet in 2006. The meeting in 2006 is not necessarily shortly after the meeting in 2025 from B's point of view. It might be some time before or a long time after. While in, e.g., 2025, the time travelers live through that time in the same way as anyone else. Also, either A or B can meet his older, then younger, self while time traveling.
(ii) A and B do not time travel but move around in their three (or more) spatial dimensions like anyone else. However, our temporal dimension is one of their spatial dimensions. Some other dimension, possibly one of our spatial dimensions, is their temporal dimension. They meet in 2025, then, from both their points of view, meet again in 2006. While in, e.g., 2025, they see not a man walking along a street but the man's world line extending along the street's world line. They cannot meet themselves.
I clarify these scenarios because I wonder whether aspects of both are present in the text.