Beauty’s physiological state (heart rate, blood glucose level, etc.) will not be identical, and will affect her thoughts at least slightly. Treating these and other differences as random,
Not all of the differences are random, though. Sleeping Beauty will always have aged by one day if awakened on Monday, and by two days if awakened on Tuesday, and even that much aging has distinguishable consequences. Now, I’m not at all familiar with the math involved, but it seems like this solution hinges on “everything” being random. If not everything is random, does this solution still work?
Not all of the differences are random, though. Sleeping Beauty will always have aged by one day if awakened on Monday, and by two days if awakened on Tuesday, and even that much aging has distinguishable consequences. Now, I’m not at all familiar with the math involved, but it seems like this solution hinges on “everything” being random. If not everything is random, does this solution still work?