**Authors:** Frank Dodd Tony Smith Jr

E8 Physics (viXra 1405.0030) at high energies has Octonionic 8-dim Spacetime that is fundamentally a superposition of E8 Lattices each of which has vertices surrounded by the 240-vertex E8 Root Vector Polytope. At lower energies Octonionic symmetry is broken to Quaternionic symmetry in accord with E8 = H4 + H4 so that the 240-vertex E8 Polytope is decomposed into two copies of the Quaternionic 4-dim 120-vertex 600-cell whose relative size is the Golden Ratio. If you give one copy a rational number size, then the size of the other will be in a Golden Ratio Algebraic Extension space. Let the Rational Number 600-cell be the Vertex Polytope for 4-dim M4 Physical Spacetime of M4 x CP2 Kaluza-Klein and the Algebraic Extension 600-cell be the Vertex Polytope for 4-dim CP2 Internal Symmetry Space of M4 x CP2 Kaluza-Klein. Look at the 4-dim Physical Spacetime 600-cell. It has 120 vertices and 600 tetrahedra. 20 x 24 = 480 of the 600 tetrahedra are in 24 icosahedra within the 600-cell. 5 x 24 = 120 of the 600 tetrahedra are, 5 in each, connected to each of the 24 icosahedra to form 24 octahedra. The 24 octahedra form a 4-dim 24-cell, the Vertex Polytope of the 4-dim Feynman Checkerboard. 24 of the 120 vertices correspond to vertices of the 24-cell and 96 of the 120 vertices correspond to Golden Ratio points, arranged in one of the two possible consistent ways, on the 96 edges of the 24-cell dual to the original 24-cell. Even though 3-dim simplex tetrahedra cannot tile flat 3-dim space, they can combine to form curved 3-dim subspaces in 4-dim space, so that 3-dim simplex tetrahedra can be used as building blocks to construct E8 Physics by taking 1200 of them to make two 600-cells, each in its own 4-dim space, and then combining the two 600-cells and their two 4-dim spaces to make 8-dim E8 Root Vector Polytopes, and then to make E8 Lattices whose E8 Lie Algebra lives in Cl(16) Clifford Algebras whose completion of union of all tensor products form a generalized hyperfinite II1 von Neumann factor AQFT (Algebraic Quantum Field Theory) based on the realistic E8 Physics Lagrangian and corresponding to a realistic 4-dim Feynman Checkerboard.

**Comments:** 41 Pages.

**Download:** **PDF**

[v1] 2015-01-06 14:22:52

[v2] 2015-03-20 10:51:09

[v3] 2015-03-28 16:24:24

[v4] 2015-06-29 08:25:50

**Unique-IP document downloads:** 336 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful. *