- Here's my thinking on the matter.
1. There is no pool of potential selves.
True, because there is no such thing as a "self" in the way you are using the term. Consciousness is something the brain does, not a discrete thing.
2. A certain physical situation brings about a bit of consciousness.
Nope, consciousness is a process, not a substance that you can have a discrete bit of.
3. Each bit of consciousness "feels" a particular sense of self.
No, the "sense of self" is just part of consciousness.
4. Scientifically speaking, this new sense of self is "brand" new -- no one else has ever had this particular sense of self, and no one else ever will.
Scientifically speaking, consciousness is not a constant thing. It is a process, and continually changes. The consciousness you have now is not the same as the consciousness you had yesterday, or the consciousness you will have in five minutes (or even 5 seconds) time. You have an illusion of continuity, that's all.
So yes, nobody has ever had a "self" exactly like the one you have at this particular moment,
including you; five minutes ago, you did not have a self exactly like the one you have now. But, "scientifically speaking", if an exact replica of your brain as it is at this moment could be produced, it would, momentarily,* produce a consciousness exactly like the one you have at this moment.
5. IOW, each new bit of consciousness sprouts a brand new particular sense of self.
No, the "sense of self" is just part of consciousness, not a separate entity.
6. ISOW, there is no limit on the number of different senses of self.
Consciousnesses are not things.
6. There is no limit on new bits of consciousness.
Consciousness is not something you can have a "bit" of.
*The is the English usage of the word "momentarily", not the American usage.