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moridinamael comments on Best shot at immortality? - Less Wrong Discussion
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But the "error correction and image reconstruction" itself is not lossless. There is inevitable distortion caused by scattering off the unknown distribution of interstellar dust particles and from gravitational lensing between the AI and its target. Not to mention all the truly random crap happening in the interstellar void as the photons interact with the quantum foam. The inversion methods you suggest do not yield a true image, merely a consistent one.
It could still be enough to resurect a person, if the difference from truth is on the order of the difference between me right now and me after sleeping for a few years. (Hint: the two me’s are very different, but they’re still recognizable as me.)