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Geometry |
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Authors: J Gregory Moxness
Using rows 2 through 4 of a unimodular 8X8 rotation matrix, the vertices of E8 4_21, 2_41, and 1_42 are projected to 3D and then gathered & tallied into groups by the norm of their projected locations. The resulting Platonic and Archimedean solid 3D structures are then used to study E8's relationship to other research areas, such as sphere packings in Grassmannian spaces, using E8 Eisenstein Theta Series in recent proofs for optimal 8D and 24D sphere packings, nested lattices, and quantum basis critical parity proofs of the Bell-Kochen-Specker (BKS) theorem.
Comments: 15 pages, 18 figures, 6 equations, and 9 citations
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[v1] 2020-05-19 15:42:36
Unique-IP document downloads: 969 times
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