Yes, assume Heisenberg Compensators or whatever other fictional tech is needed to make the fictional teleporter work. It's a thought experiment predicated on the assumption that it works.
I am saying that, in a purely functional sense, the transporter works. You get something that look, walks, talks, and thinks like you. It has your memories, and all that. On observation and questioning, no human would know the difference.
Except that it's initial state is not *exactly* what your state was when you were scanned. There's an atom out of place here, a few metabolic reactions that'll go differently there. It will progress, going forward, in *slightly* different ways than you would have. If they scanned you, disintegrated you, and put the duplicate exactly where you were - the events and actions you would have experienced and what he will experience will diverge.
Basically, the transporter creates something like an "alternate timeline you".
And maybe it's a big room.
It is still swatting a fly with a bazooka.
