Hello Hermione,

Fair questions I would say.
The 37.715 degreee inclination is what we find at Giza. It can be verified by the Petrie data. From the Petrie co-ordinates we can get the angle between the lines of P1 - P3 and the 45 degree line.

The other questions you are asking are cultural ones, rather than mathematical ones. The proposed theory avoids the area of cultural interpretation which is open to endless debate. The mathematical proof is either right or wrong in its mathematics not in its cultural interpretation.

But I can answer the questions quite easily.
The 45 degree axis of Giza aligned the structures with Iunu (Heliopolis) the temple of the sun. This is supported by related funeary texts.

The angle of 37.715 ensured that Sirius and Rigel(Orion) also fell on that same 45 degree line as they set in the south west, this time when Kocab had rotated to bottom left.
The pyramid texts confirm that Sirius and Orion are involved in death and resurrection rituals as well as the adze and the circumpolar stars.

In its 180 degree anti-clockwise rotation around the celestial pole the Kocab - Mizar line also passed the points of vertical exactly when Orion was rising over the eastern horizon, and then horizontal with Kocab on the left just when Sirius and Orion were culminating due south. Finally the line reached 37.715 with Kocab bottom left exactly as Sirius and Rigel(Orion) straddled the South West azimuth as they were setting.

So there were 4 key orientations for the rotating trio. Two were recorded in stone pyramids by the 37.715 orientation of P1 to P3. The other two positions, that is vertical for the east and horizontal for the south, were recorded in stone by the 2 sets of Queens pyramids.

I think that answers your questions about reasons !

Graham Chase