[AntonioLao]

The science and technology of nuclear magnetic resonance (NMR), especially in its solid states application, has reached a technique for reducing the line widths of spectral energy levels which most likely will work for atomic spectra as well as it had worked for molecular spectra. The related atomic spectral effects are the Zeeman Effect (magnetic field) and the Stark effect (electric field). Zeeman and Lorentz shared Nobel’s physics prize in 1902. Stark was awarded Nobel’s physics prize in 1919.
It has been determined that both the dipole-dipole interaction and the chemical shift anisotropy have the angular dependence such that there exists a spinning mixing magic angle q between the principal axis of the molecule and the applied magnetic field. The condition for narrowing line width is that the square of cosine q must be equal to 1/3 or equivalently qis equal to the arccosine of square root of 3 divided by 3 approximately 54.74°. Similarly, the slant angle of the ancient wonders of the pyramids at Giza is also about 54°. Coincidentally, the volume of any given pyramid or cone is equal to 1/3 the product of base area and its height. If cos²q=1/3 is substituted into the trigonometric identity sin²q+ cos²q=1 then the other related spinning magic of the quantum vacuum is dependent to sin²q=2/3. Correspondingly, these measure the extent of the contribution of two different quantum states for an effective mixed state of a quantum field particle of space-time, for example, the quark configurations of QCD.