Apparently the chick who decides to film the whole thing while holding her own breath...
I don't really get how the guy deals with Boyle's law: sinking into the oceanic depths while holding air in his lungs, which he later exhales toward the end of his ascent, but if true, this is insane...
Update: It seems the video is an artistic work of FICTION. Nery never actually made it to the bottom of the blue hole, as that is apparently impossible: the hole is about 202 meters deep, and the world diving record (without fins, rope or other equipment) is 95 meters.
Still, it's absolutely stunning and well made, and I can't stop watching it and trying to hold my breath for the length of the video... unsuccessfully, but I think my brain is secretly glad :)