For example, what if you were taken apart, your molecules were sent to Mars, and then you were reassembled exactly as they were? Would that be continuous consciousness?
If so, how is that different from the cloning option if your clone were assembled on Mars and the original were completely destroyed at the very same instant? (Or maybe the original were destroyed just an instant earlier.)
Let's say your molecules were taken apart... and that's it.
That's called "dying".
I'm not sure how to reconcile this with the nature of consciousness, but it certainly makes for an interesting thought experiment.
https://www.quora.com/How-long-does-it-take-for-most-of-the-...
This particular one reminds me of the teleporter example which is in this excerpt: https://www.getflashnotes.com/waking-up-by-sam-harris/ (just control-f for teleporter).
Basically our reasoning about identity is poorly evolved for duplicates. The closest we can come to feeling comfortable with it is going to sleep and waking back up. I think mostly because we're just used to doing that (since otherwise going to sleep and waking back up is similar to dying and coming back slightly different).
Was an interesting book overall - I'd recommend it.