As in, if your last hope for immortality is brain uploads, you are kinda cornered into believing your sense of self gets shared between the physical and the digital instance, otherwise what’s the point? EY appears to be in this boat, he’s claimed something like there’s no real difference between instances of You existing in different moments in time sharing a self and you sharing a self with a perfect digital copy, so yeah, it’s obviously possible, unavoidable even.
God help me for asking, but do the Yuddites have a response to “every open system implements every finite state automaton” ?