I view (hypothetical, sufficiently good) brain upload and emulation the way I view git forks: both children are just as equally "the real one" even if only one of them is on the same physical hard drive.

Looking forward from now, both bio-me and digital-fork-me (or indeed bio-fork-me if the upload gets revented) are equally "my future self", even though they would also each be distinct beings in their own rights and not a shared consciousness over many bodies.