No, it always splits into two everett branches. It’s just that if you do in fact wake up in the distant future, that version of you that wakes up will be a successor of the you that is awake now, as is the version of you that never went to sleep in the next microsecond (or whatever). And you should anticipate either’s experiences equally.
Or at least that’s how I think it works (this assumes timeless physics, which I think is what Jonii assumed).
No, it always splits into two everett branches. It’s just that if you do in fact wake up in the distant future, that version of you that wakes up will be a successor of the you that is awake now, as is the version of you that never went to sleep in the next microsecond (or whatever). And you should anticipate either’s experiences equally.
Or at least that’s how I think it works (this assumes timeless physics, which I think is what Jonii assumed).