High Energy Particle Physics


E8 Root Vectors and Geometry of E8 Physics

Authors: Frank Dodd Tony Smith Jr

This paper describes a research program based on the 240 E8 Root Vectors encoding the basic structure of a Unified Theory of Fundamental Physics by forming a local classical Lagrangian for the Standard Model plus Gravity and Dark Energy. The Root Vectors know where they belong in the Lagrangian because of their place in the geometric structure of E8 and its related symmetric spaces such as: E8 / D8 = 128-dim (OxO)P2 E8 / E7 x SU(2) = 112-dim set of (QxO)P2 in (OxO)P2 D8 / D4 x D4 = 64-dim Gr(8,16) Embedding E8 local classical Lagrangian into Cl(0,16) Clifford Algebra and taking the completion of the union of all tensor products of all the Cl(0,16)s produces a generalization of hyperfinite II1 von Neumann factor fermionic Fock space forming a global AQFT describing spacetime, the Standard Model, and Gravity with Dark Energy. The structure is related to unconventional 26D String Theory by Cl(0,16) -> Cl(0,16)xCl(0,8) = Cl(0,24) -> M(2,Cl(0,24)) = Cl(1,25) Completion of Union of All Tensor Products of Cl(1,25) = 2x2 matrices of Cl(0,24) is the String Theory formulation of the hyperfinite AQFT. The Physics model described herein may be called the Cl(1,25) E8 Physics Model, since the Cl(1,25) of 26D String Theory contains Cl(0,16) which contains E8 whose root vectors describe a Lagrangian for the Standard Model and Gravity + Dark Energy. The main body of the paper describes physical interpretations of the 240 Root Vectors with a rough qualitative description of how they are used in setting up calculations of force strengths, particle masses, Dark Energy : Dark Matter : Ordinary Matter ratios, Kobayashi-Maskawa parameters, etc. The main body of the paper (46 pages) concludes with a summary of the results of those calculations. Details of the calculations, some related experimental results, etc, are given in a more lengthy set of appendices (340 pages) with CMS results of the 35.9 /fb 2016 run, including Higgs -> ZZ -> 4l channel events relevant to the existence of two Higgs mass states predicted by E8 Physics beyond the conventional 125 GeV state and in this Version 7 (v7) ATLAS a 3.6 sigma Higgs-type 240 GeV excess described in ATLAS-CONF-2017-058 consistent with NJL Sector of E8 Physics.

Comments: 386 Pages.

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Submission history

[v1] 2016-02-24 20:46:08
[v2] 2016-08-06 18:06:55
[v3] 2016-08-24 18:14:57
[v4] 2016-10-30 13:39:17
[v5] 2017-04-17 07:40:57
[v6] 2017-05-21 13:31:49
[v7] 2017-07-31 11:09:47

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