High Energy Particle Physics


Physical Interpretation of the 30 8-Simplexes in the E8 240-Polytope

Authors: Frank Dodd Tony Smith Jr

248-dim Lie Group E8 has 240 Root Vectors arranged on a 7-sphere S7 in 8-dim space. The 12 vertices of a cuboctahedron live on a 2-sphere S2 in 3-dim space. They are also the 4x3 = 12 outer vertices of 4 tetrahedra (3-simplexes) that share one inner vertex at the center of the cuboctahedron. This paper explores how the 240 vertices of the E8 Polytope in 8-dim space are related to the 30x8 = 240 outer vertices of 30 8-simplexes whose 9th vertex is a shared inner vertex at the center of the E8 Polytope.

Comments: 15 Pages.

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Submission history

[v1] 2017-02-03 16:46:46
[v2] 2017-02-04 12:36:36

Unique-IP document downloads: 175 times

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