Macroscopic Geometry and Electromagnetic Waveguide Analysis: Computational Electromagnetics of the 51.51° Pyramidal Structure。

This study evaluates the macroscopic electromagnetic response of the Great Pyramid of Giza under atmospheric radio frequency excitation (wavelengths λ = 200–600 m). By deploying Finite-Difference Time-Domain (FDTD) computational electrodynamics and multipole expansion analysis, we compare three equal-volume dielectric models: a cube, a cylinder, and a 51.51° square pyramid. Numerical results confirm that the 51.51° incline acts as a graded-index impedance transformer between free space (η₀ ≈ 377 Ω) and limestone dielectric (η₁ ≈ 133 Ω), minimizing surface reflection and exciting electric and magnetic dipole modes that focus energy into internal chambers. We also quantify performance decay under a "degraded hardware" model (loss of outer casing stones and apex truncation).