or any particular neurons in my brain.
If it were possible to instantly replace every atom in your body with another identical atom, would you be the same person with the same conscious-self? I think yes. If you then instantly evaporate every atom in your body and then with a one second delay replace every atom, would you then be the same person? I think yes. How about doing the same thing except with an hour delay and then reconfigure the atoms in the house next door, would you then be the same person with the same conscious-self? I dont see why not. As far as I know, consciousness isn't attached to any particular atoms and no separate soul disappears when consciousness shuts off.
When we sleep, consciousness shuts off. Do we have the same consciousness when we awake? It's really not provable either way, though we like to think so. How far can we take this and prevent an individual conscious-self from ever returning? Many people think it is when someone dies that their consciousness can't return. So they think that an individual consciousness-self is attached to a particular body or brain. I don't know why that should be.