Wiseman comments on Timeless Identity - Less Wrong
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Err, how can two copies of a person be *exactly* the same when the gravitational forces on each will both be different? Isn't the very idea that you can transfer actual atoms in the universe to a new location while somehow ensuring that this transfer doesn't deterministically guarantee being able to determining which person "caused" the *copy* to exist (I.E. the original), physical nonsense?
While molecules may not have invisible "unique ID" numbers attached to them, they are unique in the sense of quantum evolution, preserving the "importance" of one atom distinguished from another.