Gravity and the Standard Model with 130 GeV Truth Quark from D4-D5-E6 Model using 3x3 Octonion Matrices

Abstract

The D4-D5-E6 model of gravity and the Standard Model with a 130 GeV truth quark is constructed using 3x3 matrices of octonions. The model has both continuum and lattice versions. The lattice version uses HyperDiamond lattice structure.

108 pages, latex. Revised with respect to lattice structure to use HyperDiamond lattice. Added references. Some minor revisions

References in corpus (9)

• Finite Lorentz Transformations, Automorphisms, and Division Algebras
• Determining ${\alpha }_s$ from Measurements at $Z$: How Nature Prompts us about New Physics
• Octonionic representations of Clifford algebras and triality
• The Gauge Theory of the de-Sitter Group and Ashtekar Formulation
• Introduction to Division Algebras, Sphere Algebras and Twistors
• Algebraic structure of gravity in Ashtekar variables
• Hermitian Jordan Triple Systems, the Standard Model plus Gravity, and Alpha = 1/137.03608
• Octonion X-product orbits
• BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables

Cited by in corpus (2)

• Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge Theories of Dyons
• HyperDiamond Feynman Checkerboard in 4-dimensional Spacetime