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I don't think you're that far astray, but you might be missing one key factor. There is a concept in physics called the spacetime interval, which can imply one of three kinds of separation: Timelike (events which can be causally connected, i.e. events which are within each other's light-cones), Null (the worldlines followed by photons), and Spacelike (events which are causally disconnected). For an easy example of "Spacelike", anything within an event horizon has a spacelike separation from anything beyond that horizon (an extreme example).

However

What if you could connect those regions with this "warp drive"? You could create a causal link between regions that would otherwise be causally disconnected. You could carry information from the past to the future, or visa versa. You could essentially ignore the very fabric of spacetime.

Now... maybe that's possible, but I doubt that it's possible in the context of warping gravity. If M-theory is correct in some form, or MWI is correct (basically any multiverse theory) then maybe you could do it. After all, if the universe is a lower dimensional structure embedded in a higher one, you could imagine traversing those spacelike separations in the same way that you could do things in 3D that someone bound to 2D could not. That however, depends on so many "if's" that it's basically magic.




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