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I don't think this is right. You leave at t=0 and arrive at your destination at t=1 year. It then takes two years for the image of your arrival to travel back to Earth, where it can be perceived at t=3 years.

However, when you arrive at your destination, you can look back at Earth and see an image of yourself 1 year prior to your departure.

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Yup, I think you’re right, and that I’m wrong.

BTW, the other weird thing about this scenario is that if you look backwards along your trajectory, you will see a movie of your journey playing in reverse!

Also, in regard to your edit: this doesn’t really have anything to do with relativity. Newton would’ve come to the same conclusion.

My reference to relativity was to indicate that I thought it would lead to different conclusions than the Newtonian case.

As for the two images, it’s well covered on PBS Spacetime’s overview of the Alcubierre Drive from several years back that if a bystander were to observe a FTL craft traverse their field of view laterally, they’d indeed see two images, each heading in opposite directions, as you indeed allude to.

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