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A man begins traveling to a destination several thousand light years away, accelerating to a velocity of near-light speed. Time dilations and space contractions would result in the trip lasting only a few years from his perspective. From the perspective of people at the destination point, the trip would last longer than the time it would take for light to traverse several thousand light years. Hence, many generations of people at the destination would come and go over the course of the trip, which would only be few years for the traveler.

Where is the flaw here? Any help would be greatly appreciated.