[kelnos]

I don't think we really know what "me" is yet, to any useful degree. We have no idea what causes our consciousness, or where it "lives" (if anywhere). We don't know if Star Trek-style transporters would actually kill you and create a new you somewhere else. We don't know if it's possible to transmit your consciousness elsewhere, leaving your body behind, a la Altered Carbon.

Sometimes we think of these as philosophical questions, but in many ways they are questions for science that we don't know how to tackle.