Yeah but Tynan, even if it's a simulation, it's still very subjectively only how you see the person, their actions in your dream are entirely (subconsciously, unless you go lucid) controlled by you. And if you're controlling them it's irreversibly connected to your own personality. Thus all characters in your dreams are facets of your mind.
And magnus, I'm not sure which specific analysis you are referring to, but REM sleep specifically is thought to sort out your mind (I've heard it called random firings of neurons, but i think it's more controlled than that), this is what leads to dreams (You always dream you just don't generally remember it). I don't know how this leads to a negative analysis of polysleeping though, as the whole point of polyphasic sleeping (the uberman schedule anyway) is to keep the amount of REM sleep constant (you do 6 naps, because usually a monophaser goes through 6 REM stages in one night), while compressing the other less important stages of sleep.