Intergalactic travel
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One-way trip[edit]
As the time needed to go even to the Milky Way's nearest neighboring star is so astronomically high, trips to other galaxies would likely exceed a modern-day human lifespan by extreme orders of magnitude. Any such journey would mean that humans boarding such a spaceship from Earth would not only never be able to return to Earth alive, but would also never live to see the arrival of the spaceship at its destination. One solution could be a generation spaceship, but this idea in itself poses technical (and ethical) problems of its own.
Extreme long-duration voyages[edit]
Voyages to other galaxies at sub-light speeds would require voyage times anywhere from hundreds of thousands to many millions of years. To date only one design such as this has ever been made.[1]
I hate to be practical, because I rarely am.
But unless there's Space Magic Mass Effect-y stuff, (which I'm pretty sure there will be,) The above instances are the only way to get to Andromeda.
It's possible that when someone "wakes up" on the ARK, that it's been millions of years since the Reapers invaded Earth. That's a LOT of history to read.
I think the crew should be told before they embark on this one way trip that nothing in the Milky Way matters anymore and to forget it. They're finding a new home for humanity.