My Biggest Fear [7]

So in Star Trek they've got transporters, right? You can beam through a short distance in space from one vessel to another and go about your business. But here's the thing: what if transporters weren't actually teleportation devices but instead they just deconstructed you atom by atom (killing you) and recreate a copy of you somewhere else (that has a different consciousness than you) but acts exactly like you'd be expected to act. You've died but no one knows because your clone fills your space. No one will ever understand that you've actually died and an exact replica is filling in. Think about it.