My experience was the same. I used to fall in REM very quickly, many times in the 20 min naps. Here I say REM but really I mean dreams and I'm taking dreams to be a proxy for REM.
Why is that?
http://nymag.com/scienceofus/2015/02/what-its-like-to-need-h...
How do you know you are in REM sleep by the way? Can you only dream during REM? I do often dream in the 9 min between my alarm snoozing, even if I do it a couple of times in a row. Does that mean I'm immediately back in REM sleep?
One thing though: I had a really hard time waking up from the short nap and had to have my girlfriend call me to wake me up every day. If you don't have a (girl/boy)friend to help you with this, or a very aggressive alarm clock, YMMV.
Another friend is doing a similar cycle right now and it's the same for him ... he has some friends ("accountability partners") who will call him to wake him up daily from his shorter nap and I think they talk about how their day went and then hang up.
I wear contact lenses, and keeping my eyes closed for more than 5 minutes will really dry up and irritate my eyes (beyond relief with lens solution). The problem is that when I take them out before taking a nap, beside the effort that that takes, my eyes will not take kindly to putting them in so quickly again. In the morning it's not usually a problem. Does anyone have anything to share about that?
If it's just the protein buildup on the lens, you might try taking out set A, napping quickly, and inserting a fresh set B of lenses while set A continues to clean in the solution. They're cheap enough to try anyway.
I also have dreams when taking a 20-30 minutes nap during the day, and I can remember them more often. But I still can't go more than a few days sleeping a total of 6 or less hours, I'm just too tired. I need 7 hours at least.
What a waste of time... :-)
That's a pretty big leap to make. If the natural sleep cycle has several stages, it's likely that the other stages are also important.
I'm curious about your experiment. What worked, what didn't, and what changes you notice (including potential placebo effects).