Depends on the impact of the differences in cognition and experience. I’d imagine that many small differences could be physically detectable, but not qualia-impacting. Both copies experience continuity from before the fork. Maybe one (or both) have a slight perceptible change, like getting a bad night of sleep in the single-thread case. But it’s not enough to break the experience of continuity for either one.
Depends on the impact of the differences in cognition and experience. I’d imagine that many small differences could be physically detectable, but not qualia-impacting. Both copies experience continuity from before the fork. Maybe one (or both) have a slight perceptible change, like getting a bad night of sleep in the single-thread case. But it’s not enough to break the experience of continuity for either one.