I'm afraid I don't see any citations in that article for studies done specifically on polyphasic sleep. I see citations for the natural length of the human day (24.2 hours), sleep deprivation effects, maximum waking time for humans, etc. But nothing but unbacked, though strongly held, assertions about polyphasic sleep. I may have missed it, but every time the article goes into discussion of polyphasic, it seems to talk around the issue when providing citations, and explicitly to the issue when it is clearly the authors opinion. It has the feel of a religious tract, rather than a scientifically sound article.
I'm not saying the author is wrong. I've never had much luck with polyphasic sleep, as I mentioned above, and I'm certainly not going to argue that it's a great idea without having had any success with it myself or at least having seen good science on the matter. But, if this is the best "science" there is to offer suggesting it does not work, then I don't think I'm convinced.
That said, I'm leaning towards one of the "core sleep plus naps" variants this time around rather than the 6x20 minute routine. I do enjoy sleeping. At least, I seem to, since I do it a lot, and frequently roll over and drift back to sleep in the morning. I also love a couple of cups of jasmine green tea in the morning with breakfast...it's a one to two hour ritual that makes me happy. And a polyphasic schedule would throw all of that for a loop...though I might try kicking caffeine for a while, too. I won't have an Asian market nearby from which to buy my Yamamoto tea, so I probably won't want to drink tea, anyway.
I don't read Pavlina and am unfamiliar with his arguments regarding sleep, so I don't know anything about his results.