No, its very probably not the same. The brain doesn't shut off when you go to sleep. It keeps going, it keeps doing it's stuff, messing with memories, thoughts, all the bodily functions and a whole extra stuff that we don't know too well, but which probably still makes you you.
Killing that brain and then simulating it somewhere else is not the same.
More importantly, does anyone suggest that running the original brain and the copy doesn't result in two separate diverged intellects? If running two results in separate consciousnesses then obviously they are not the same.
I don't think that follows. If "your" consciousness is just the consciousness that has a continuity of memory with a previous version of you, then the two copies would both be you, but they would not be one another.
Let's say that I a suitably advanced fMRI is developed that is able to map out the connectome non-destructively, I use this device on you to create a copy of your mental state, and then let you go about your day. At some point later I turn on a whole-brain simulation from this data. What do you, the you-that-walked-into-the-scanner expect to experience?
That's obvious to me, but I've learned that it's not obvious to everybody. It's an instance of the mind projection fallacy that your or I think that is a simple obvious truth but others think the opposite is just as intuitive. I sometimes wonder if different people have different experiences of consciousness and self-identity...
What about what happens during hypothermia? Both during Cardiopulmonary bypass and cold water immersion, the brain is cooled enough that activity stops.
