Which apparently means you think that the atoms of the original are somehow special.
Where in the world did this come from? I believe I said the opposite, that the atoms are not different, that the atoms of the copy and the original are exactly the same. Only their context makes them different in any way, specifically that both have memories of their atoms experiencing something that only one of their atoms actually experienced.
Because I claim that a "person", at any moment, is no more than the information which is discribed in a body. Information can be perfectly duplicated, so it becomes meaningless to say "this is the original information".
Again, you are using the term "information" in a non-materialistic way. The only information is the configuration of the atoms in the body. Prove to me that it's meaningless to say that one set of atoms is the original and the other is a copy, even if they are configured in the same way.
Even if you're correct and such a distinction is meaningless, that is a different discussion than the discussion of whether they are two different people. Two identical people are still two distinct people, even if we cannot determine which is the original and which is the copy. If we cannot determine which is the original and which is the copy, it certainly creates problems given that they will both have a claim to one life. But that only proves my point which is that there is good reason not to use this technology even if it existed.
You call them "false" and "real". If it's not a difference, why would you distinguish between them?
Two things can be identical, yet different in their context. The same statement can be true in one context and false in another. If two people are stuck in cells with different locks, and both have identical keys that open only one of the locks, one key is very useful while the other key is useless even though they are exactly the same. It is clear that not only is the configuration of the atoms of the keys important, but so is the location of the key and its surrounding context. In other words, the two keys have potentially different futures because they exist at different locations even though they are otherwise exactly the same.
I distinguish between the material bodies, but not the person inside the material bodies, if you're wondering.
Then you're a dualist, if you're wondering. If you were a materialist, there would be no "person inside the material bodies" at all.
If I have godlike powers and can arbitrarily switch their place, and no difference will arise because the atoms have been changed, they are interchangable and thus the same person (Remember a person must be contained entirely within the body, since this is materialism, and the only material of consequence is atoms). The minor difference of one being on mars is no more an important difference to the "person", than if I randomly (using nuclear decay, for example) decide to take the bus rather than the train. It may lead to differenes, but those differences have not meaningfully changed the person yet.
Nice try! The entire discussion assumes that this cannot be done. If it could be done (that atoms could magically move from point A to point B), we wouldn't have a hypothetical situation we're discussing at all (we would be able to teleport without making a copy). These "godlike powers" of which you speak would require something other than materialism to be true.
Nonetheless, this only illustrates why it would be a bad idea to mix up the original and the copy, and if it were possible to do so, that would only be another reason not to use this technology if it existed.
I'm not asking if they are two different people afterwards. After the duplications they immediately start to diverge (personally, I think they'd diverge any time they are concious afterwards, even in identical rooms)
We were assuming that random quantum fluctuations don't exist. As someone already pointed out, if they do exist this sort of teleportation wouldn't work anyway. If they don't exist, then the two people would never diverge as long as they remained in completely identical rooms. Even so, I would still contend that they are two different but identical people.
I suppose, given godlike powers, that if I take the "original", and put him in some situation, and take the "clone", and put him in the situation, they will behave the same way (as much as if I flip two identical coins, they will show the same patterns, though probability may mean they do not behaive identically).
If they have diverged there is no reason to believe that they will behave in the same way in the same situation. Since we're not accounting for random quantum fluctuations, if they have not diverged they will necessarily act in exactly the same way in exactly the same situation (which could only occur in identical rooms).
-Bri