While I do still find myself quite uncertain about the concept of 'quantum immortality', not to mention the even stronger implications of certain multiverse theories, these don't seem to be the kind of thing that you're talking about. I submit that 'there is an extant structure not found within our best current models of reality isomorphic to a very specific (and complex) type of computation on a very specific (and complex) set of data (ie your memories and anything else that comprises your 'identity')' is not a simple proposition.
I've read a fair amount on Less Wrong and can't recall much said about the plausibility of some sort of afterlife. What do you guys think about it? Is there some sort of consensus?
Here's my take:
Edit: People in the comments have just taken it as a given that consciousness resides solely in the brain without explaining why they think this. My point in this post is that I don't see why we have reason to reject the 3 possibilities above. If you reject the idea that consciousness could reside outside of the brain, please explain why.