This is an issue that is important to keep in mind: the traditional chronology according to the egyptian king list should not be dismissed or ignored, or worse "re-interpreted" to reduce the number of years into the past.
Scott, please consider that the king list points to the end of Zep Tepi around 36,000 BC, which is a full precessional cycle earlier than 10,500 BC.
This would make a perfect match for the Sphinx to be looking at the time of the inclination of earth's axis. Please see this post:
I suspect that it is fairly easy to demonstrate that 10,500 BC (or thereabouts) for the date of the tilting of Earth's axis (from the vertical position) is wrong, and that could discredit all the good work and ideas at the basis of this investigation.
For example, it was after the "Fall from Paradise" (transition from Golden to Silver Age - inclination of the Earth's Axis) that the confusion of languages appeared. It is demonstrable that this did not take place in a time that is as recent as 10,500 BC.
Also, regarding the geometrical representation of cycles, I think what I post here could be of some relevance:
Let's keep in mind that there have 7 Manvantaras (64,800 years each) prior to ours, and therefore there are other celestial motions and periods that position each Manvantara in a slightly different condition, thus preventing "history from repeating itself".
The issue of precessional motion, is related to human "consciousness" because each different Age changes the Cosmic "Morphogenesis Fields" (http://en.wikipedia.org/wiki/Morphogenesis) with as profound consequences to humans as it can be imagined, since each Age is characterized by a different level of vibration energy (already known to Chaldean Astrology), which determines "what is possible".