Calibrate the latitude of the pyramid

Now that the mathematical construction of the roof and end walls of the gallery has been understood the gallery can brought to life and can be used to calibrate the latitude of the pyramid.

The interactive drawing shows the unrotated ellipse of the Earth and the corresponding ascending passage line which were used in the basic section of this work in the first analysis of the gallery. If you place the ascending passage line into the groove, just as was done in the basic section of this work, and calculate the mathematics of the gallery down to the floor you get the following output.

The floor angle is 26° 16" 50.85' compared to Petrie's surveyed value of 26° 16" 40', but of more interest is the length of the gallery floor which is 47.99997 pM (perfect meters). The floor length, as designed by the architects, should be exactly 48 pM and therefore the system can be calibrated to adjust the floor length from the calculations to this value.

To perform the calibration none of the mathematics of the end walls can be touched, because that is known to be correct and is literally set in stone, leaving the relationship between the perfect meter and the cubit as the only possible variable quantity that can be adjusted. And that relationship is determined by the latitude of the pyramid.

When the latitude of the pyramid is calibrated so that the floor length of the gallery is exactly 48pM, the resulting value of the latitude is 29° 58' 43.54" compared to the modern-day value of 29° 58' 43.98", both values being referenced to the WGS84 reference datum. The reason for the movement of the pyramid since it was built has already been explained when defining the cubit - that the Earth's crust is made up of moving tectonic plates.

However, the results obtained from the calibration do not appear to conform to the fact that the African tectonic plate is drifting north-east over time at a rate of around 2cm and 5cm per year. The latitude of the pyramid at the time it was built that has just been determined from the calibration is too close the current value as can be seen on this plan view of the pyramid.

The current latitude of the central vertical axis is shown on the left and the calibrated latitude on the right, with the current north face latitude shown at the top of the illustration. The north-south distance between the calibrated point and the current center is only 15 m which would amount to a tectonic plate movement of 0.3 cm per year over 4500 years, which is not realistic. The distance from the calibration point to the north face is 130 m, which would give the tectonic plate movement as 2.9 cm/year northwards, and is a realistic value.

The reference latitude that the architects are using for the Great Pyramid is therefore the north face of the building, and not the central axis.

Additionally, the calibration is being performed on the WGS84 reference ellipsoid, and not on the architect's reference ellipsoid because the size of that ellipsoid has yet to be determined and so the calibration value must be considered to be a close approximation until the point is reached when the system of architecture has been fully understood.