For 5 minutes suspension versus dreamless deep sleep - almost exactly the same person. For 3 hours dreamless deep sleep I'm not so sure. I think my brain does something to change state while I'm deep asleep, even if I don't consciously experience or remember anything. Have you ever woken up feeling different about something, or with a solution to a problem you were thinking about as you dropped off ? If that's not all due to dreaming, then you must be evolving at least slightly while completely unconscious.
This will be a short article. I've been seeing a lot of dubious reasoning about consciousness and sleep. One famous problem is the problem of personal identity with a destructive teleporter. In this problem, we imagine that you are cloned perfectly in an alternate location and then your body is destroyed. The question asked is whether this clone is the same person as you.
One really bad argument that I've seen around this is the notion that the fact that we sleep every night means that we experience this teleporter every day.
The reason why this is a very bad argument is that it equivocates with two different meanings of consciousness: