From E8 Root Vector Geometry to the LHC

Frank Dodd Tony Smith · viXra · 2017

This paper is intended to be a only rough semi-popular overview of how the 240 Root Vectors of E8 can be used to construct a useful Lagrangian describing Gravity and Dark Energy plus the Standard Model. For details and references, see viXra/1602.0319. The 240 Root Vectors of E8 represent the physical forces, particles, and spacetime that make up the construction of a realistic Lagrangian describing the Octonionic Inflation Era followed by a Quaternionic M4 x CP2 Kaluza-Klein Era in which the HIggs emerges by the Mayer mechanism and 2nd and 3rd Generation Fermions appear. By generalizations of the Nambu-Jona-Lasinio models, the Higgs is seen to be a Truth Quark-AntiQuark Condensate giving 3 Mass States of the Higgs and 3 Mass States of the Truth Quark. My analysis of Fermilab and LHC observation data indicates that Fermilab has observed the 3 Truth Quark Mass States and LHC has observed the 3 Higgs Mass States. The Lagrangian, which is fundamentally classical, is constructed from E8 only and E8 lives in Cl(16) = Cl(8) x Cl(8) which corresponds to two copies of an E8 Lattice. A seperate paper discusses using a third copy of an E8 Lattice in connection with construction of a realistic Algebraic Quantum Field Theory related to the Leech Lattice. Version 3 (v3) includes CMS analysis of 35.9 /fb of data in the H -> ZZ* -> 4l channel of the 2016 Run of the LHC at 13 TeV. Version 4 (v4) corrects author name and adds comparison of Consensus 1-state model with E8 3-state model with respect to Higgs-Tquark Phase Diagram. Versions 5 and 6 (v5 and v6) add details of CMS histogram and references to details of Nambu-Jona-Lasinio type calculations by Hashimoto, Tanabashi, and Yamawaki. Version 7 (v7) discusses a 3.6 sigma Higgs-type 240 GeV excess described in ATLAS-CONF-2017-058 consistent with NJL Sector of E8 Physics. Version 8 (v8) has updated the CMS PAS HIG-17-012 histogram by combining some adjacent pairs of 5 GeV bins to make 10 GeV bins.

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