I know I think is pointless and we're all doomed and no star travel is ever possible, but relativistic length contraction is a possible exception. You can't go past the speed of light, but the more energy you pour into acceleration, the more contracted the space around you becomes, in the direction you're accelerating. In theory if you accelerated close enough to the speed of light, then you would be able to just step from one galaxy to the next.

Of course the space around you would also accelerate in time, so you'd still arrive billions of years later by anyone else's reckoning. So anything you headed towards that was far enough away would burn out and decay as you approached it, faster the more length contraction you have. And it requires an inconceivable amount of energy. But it's something.

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