The Nodal Constant in Stone: Lunar Standstill Geometry and the Encoding of 5.145° in the Giza Pyramid Complex

The four shafts of the Great Pyramid of Giza encode the lunar nodal inclination of 5.145° through two independent geometric relationships. The south shaft pair — King’s Chamber south (elevation 45.0°, geometric declination −15.021°) and Queen’s Chamber south (elevation 39.5°, declination −20.521°) — produces a declination gap of 5.500°, approximating the nodal inclination to within 0.355°. The north shaft pair — KC north (polar distance 2.520°) and QC north (polar distance 9.020°) — produces a mean polar distance of 5.770°, approximating the nodal inclination to within 0.625°. Two independent shaft pairs, from the same structure, converge on the same constant. The Khafre causeway at 76° azimuth encodes the identity latitude of 12.096°N (Sennfelt 2026a) to within 0.226°. A previous version of this paper (v1, 2025) claimed that the KC south shaft targeted Sirius’s meridian culmination at 2,990 BCE with Δ = 0.000°. That claim is retracted: epoch-corrected calculation shows Sirius had a declination of −22.13° at 2,990 BCE, a gap of 7.11° from the shaft’s geometric target. The KC south shaft’s target declination of −15.021° is close to Sirius’s current declination (−16.72°) and Sirius is precessing northward toward the shaft’s target value over the coming centuries, providing a structural connection to the tradition’s calibration star that is convergent rather than historically precise.