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Well, that still sounds like you're averaging at least 6 hours of sleep (assuming you got your ams and pms the wrong way round) which is a not unreasonable amount. Some of us need more sleep than others but still, I wouldn't have thought that would be so little as to induce paranoia.

The other bits sound like dissociation. Dissociation is a pretty broad term that can cover anything from not paying attention while driving somewhere you go all the time (like on auto pilot) to dissociative identity disorder (multiple personalities). It sounds to me like you're getting a bit of dissociation and that could be from sleep withdrawal, although as I said I don't think your sleep is too bad.

There isn't really anything here that would say to me "oh my god, panic!" but you are obviously concerned so here is what I suggest - keep a diary. Note down your sleep patterns, your moods, any episodes of paranoia and this "dreaming" and also what you are eating (erratic eating can cause all kinds of things, including feeling spaced out etc..). If it carries on, then take your diary to a doctor - that way you can help them see if there are any patterns to this.

I wonder if you are depressive, by the way? That could explain the lack of energy/apathy, dodgy sleep patterns etc.

Your question rather suggests the answer - get some sleep and see how that works out.