Authors: John Frederick Sweeney
The G2 Root system is the only root system in which the angle of pi / 6 appears between two roots. This is made necessary in nature by the demand for circular objects which can be divided by six or twelve, according to Vedic literature concerning the 28 Nakshastra or astrological houses. In addition, G2 provides the key linkage between the Sedenions, which curiously contain properties related to the number 29 and the Octonions. G2 is key to the transformation from Binary to Trinary,Fano Plane to Tetrahedron and the Sedenions, mixing the 8 x 8 to 9 x 9 aspects of matter, or the Satwa and Raja aspects. Finally, from the Sedenions this paper develops toward the Hopf Fibration and the Boerdijk-Coxeter Helix, which is composed of Sedenions in the form of tetrahedra. Along the way we travel all the way back to the Osiris Temple of Abydos, Egypt, where G2 appears.
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[v1] 2013-08-04 10:05:46
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