Checkmite
Skepticifimisticalationist
This is wrong. There is the same continuity as always.
Look at what happens in the body of someone who doesn't use the teleporter. There is a particle A that bounces into a particle B, leading to a change in B. This is a "causal" event, because A "caused" the change in B. If you wanted to, you could track all the causal events that led to A being in the state it was in immediately prior to interacting with B. It might look like this:
event(1 ) --> event( 2 ) --> ... --> event( n ) --> event( A hits B ) --> < the future >
Now can you tell me how this causal sequence is changed by inserting a teleporter event somewhere? Suppose the teleporter magicks the person to another location instantly. The sequence might look like this:
event( 1 ) --> event( 2 ) --> ... --> event( n ) --> TELEPORT --> event( A hits B ) --> < the future >
Look carefully -- do you see how the TELEPORT event completely invalidates the rest of the sequence? No, you don't -- because it doesn't. The sequence of causal events leading up to the current moment in time are identical, except for a single extra event, that doesn't alter the relative states of any of the particles in the person's brain. From the perspective of the particles -- and hence any physical process in your body -- the TELEPORT event is a No-op.
To the extent that there exists any continuity in the physical processes ( which isn't a simple yes/no, mind you ), it is entirely preserved by the teleport.
No, I don't think that's right. Let's say at the moment of your "dissolution", particle A is about to hit particle B. You're saying that on your new "resolution", particle A is set up again by the transporter to hit particle B, and things begin right where they were left off.
My argument is that, upon your resolution, it's NOT particle A which is set up to hit particle B, it's some particle C that's set up to hit some particle D in the same way that particle A was about to hit particle B before the dissolution...but that doesn't make them particles A and B. Particles A and B remain on Earth - no longer about to collide perhaps, maybe doing other things instead, scattered about, kept in a tank of particles...but they still exist there; they can't be in two places at once. Once the brain that the processes exist in is dissolved, the continuity is broken, period. The next brain can be created and its processes kicked off in a "mid-stream" state - the tape is started in the middle rather than from the beginning - but the original stream of brain processes is terminated.
Again, you continue to avoid the "what if it doesn't kill the person the information is copied from" hypothesis and its implications.
Let's make it even simpler: suppose your "transported copy" isn't resolved on Mars; suppose it's resolved on the other side of the room you started in. Now there's two human bodies standing in the same room, not one - correct? Two subjects? You can touch one without touching them both?