In the top answer for this question on the Space Exploration StackExchange, it's calculated that a rocket traveling at constant 1g of acceleration over 100,000 light years would, under Newtonian physics, accomplish the journey in 662 years while reaching a peak velocity of 321 times the speed of light, while when you take relativity into account, it reaches its destination in just 22 years (in its own reference frame), while traveling at just under light speed.
Since as far as the rocket can tell, it's still accelerating just as fast, why does the relativistic rocket reach its destination in 22 years instead of 662 years? I haven't really studied relativity in any formal context, but I would have expected intuitively it to arrive just as quickly, with the time dilation cancelling out the superluminal acceleration - is there something about the time dilation/space compression that isn't symmetrical?
