OK, I'll start.
The first thing you need to know about the air shafts is that they are not air shafts. If there were a need to ventilate the chambers, the shafts would run horizontally to the surface of the pyramid. A horizontal design would make them so much easier to construct. Instead, the architect has gone out of his way to make it hard for the masons to construct these shafts.
Others are calling them star shafts. This is a concept that most Egyptologists embrace. The idea is that the four shafts point to four different locations in the sky, somehow propelling the king's soul to each of those four astral destinations. There are of course some problems with that account, the least of which is that there should be four different destinations, perhaps indicating that the king's soul might have four different parts.
Badawy and Trimble proposed that the KCN shaft pointed to the upper culmination of Thuban (the then pole star) and KCS pointed to the culmination of Orion's belt. (They weren't specific about which star in the belt.) They made no proposal about the lower (QC) shafts.
Then in the 1990s along came Bauval with his OCT. Bauval saw the potential of Badawy's idea for supporting the OCT, and made Al Nitak the stellar destination of choice. He also enlisted Gantenbrink's newly found measurements of the shafts and determined that the KCS shaft could fix the building of the pyramid to the era 2450 BCE, which was 100 later than the accepted date for the pyramid. Bauval didn't mind the controversy that this created. He was able to turn the controversy to his own benefit.
Bauval also turned his hand to the lower shafts and determined that QCS pointed to Sirius and QCN to Kochab. I don't have a problem with the QCS-Sirius correlation other than to say that its slope is not generally agreed upon. Determinations of its slope vary from 38.16° (11:14) to 39.29° (9:11) to 39.47° (14:17). The QCN-Kochab correlation is much more problematic, given that this shaft varies between 33° and 40° in its lower parts.
That's about enough for now. I'd like to see what the general interest is on this topic and where the real problems are.
Hail Atlantis.