@Khethil,
... thanks guys!
... what I'm looking for here are alternative answers to these questions, because my own answers (particularly to #4) don't feel quite solid yet ... here's how I waded through these:
1. Given that the life process that is "me" stops when I die, there is a remote (but non-intuitive - to me, at least) possibility that when the copy of "me" gets fired up subsequent to my death that it is really "me"
2. This situation refutes the possibility raised in answer to #1 - if the copy of "me" is alive at the same time as "me", it cannot be the original "me" ... the implication here is that it is the continuity of the life process is what distinguishes the original "me" from the copy (whose own life process begins discontinuously relative to the predispositions and experiential memories it has been given) ... therefore, while the scanning process may capture the essence of the material that "me" currently occupies, it does not capture the processual essence of "me"
3. This situation also refutes the possibility raised in answer to #1 - if multiple copies of "me" can be created simultaneously, they are either all "me" or else none of them are "me" ... the latter is the least ridiculous of the two to assert.
4. This one's a little harder ... given that two life processes get fired up at some point in the future, they seem to be hard to distinguish - specifically because the "continuity" identified in #2 doesn't seem to apply here ... are neither of them me? ... but then, maybe - just maybe - "continuity" does apply here ... life processes flow through the world of matter, never really attached to any matter in particular, yet unable to persist independent of matter ... so if you "freeze" the particular matter that my life process is flowing through at a given instant in time, does that frozen matter capture anything? - in particular, does it capture the essence of my life process such that when you unfreeze the matter allowing the life process to proceed that the life process is still "me"? ... my intuition says "yes!" - freezing the matter
by definition puts the life process into a period of stasis ... and so there is
subjective continuity as far as the life process is concerned
The weakness here is that there is also subjective continuity as far as the consciousness of the copy of "me" is concerned - as far as the copy is concerned, he is "me" and always has been ... a distinguishing factor here is that his subjective continuity is at the level of consciousness, whereas my subjective continuity is at the level of life process ... but is this just splitting hairs?