I wish I had vivid dreams like yours(specially the the body leaving-step by step one). I do have but very rarely
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As also, I have since childhood had problem-solving dreams. As in, in real life if I could not find a solution to my problems, I had dreams where I saw myself solving those problems and woke up to indeed solve such problems!
A budding Kekule there!
This could happen during the twilight zone, ie, the zone in which you are not either fully awake or sleeping, but in a junction between them, and in a sort of 'limbo'; you or your mind may be 'hyper-aware' during that time, sensing/solving things that would be a little difficult for a fully awake or conscious mind to do. some researchers and 'mind-adventurists' have experimented with this, and even i do it quite some times, when some thing or event or question or anything is bothering me and i find it difficult to focus and find a solution to it, i just lie down for some minutes, relax, let the body just about slip into semi-sleep, and THERE the solution flashes in a strike! some or rather most times this happens if am not well-slept, and needless to say, when i subject myself to this, i get a solution as well as a refreshed mind alongwith it (i don't keep lying down after i get the solution, but quickly get up, as continuing lying down further defeats the purpose for me), which prior lying down used to be/feel hazy. can't term it a quick nap, but well short of it.
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on-topic - i get a lot of dreams about an alien 'invasion' (not exactly, but more like alien crafts and motherships making huge public appearances, instead of stealthy and bizarre appearances they've been known to make since atleast the late 1800s and 1897), or alien contact, new world order kind of scenario. just today when i dozed off in the noon i had one (a rather multi-storied craft populated by peculiar grays, trying to convey some messages/symbols. this was preceded by a quite bizarre situation i dreamt of, like a humanoid and hooded girl/women feeding and caressing a dog/pup, my friend, and who wasn't paying attention to me but was kind of enamoured by the girl, as if hypnotised. as soon as she revealed herself to me by lifting her black and white hood, the craft came in swooshing from above and behind me, like what we see in games & movies, and very unlike the 'falling leaf' motion attributed to them in reality, but this was a differently shaped craft as against the usual ones, and this was followed by the contact with the grays through the portholes of the craft).
it doesn't happen regularly, but mostly between long 'dry spells', and has happened many times over the past few years, so safe to say that i may be 'attuned' to such dreams. don't know what they may be trying to convey. this has been happening since long before i seriously started delving deeper into this subject of ETs/UTs and (allied) peculiar phenomena.