An Exceptionally Simple Theory of Everything

Abstract

All fields of the standard model and gravity are unified as an E8 principal bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4 subalgebras which break down to strong su(3), electroweak su(2) x u(1), gravitational so(3,1), the frame-Higgs, and three generations of fermions related by triality. The interactions and dynamics of these 1-form and Grassmann valued parts of an E8 superconnection are described by the curvature and action over a four dimensional base manifold.

31 pages, 7 figures

References in corpus (11)

• Quantum gravity in terms of topological observables
• Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity
• Graviweak Unification
• General relativity with a topological phase: an action principle
• Aspects of BRST Quantization
• Mapping the geometry of the E6 group
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• Clifford bundle formulation of BF gravity generalized to the standard model
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Cited by in corpus (39)

• The Higgs Phenomenon in Quantum Gravity
• The Plebanski action extended to a unification of gravity and Yang-Mills theory
• On the Relations between Gravity and BF Theories
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• Enriques and Octonionic Magic Supergravity Models
• A Novel View on the Physical Origin of E8
• Exceptional Lie Algebras, SU(3) and Jordan Pairs Part 2: Zorn-type Representations
• Hamiltonian Formalism in the Presence of Higher Derivatives
• Standard Model and Graviweak Unification with (Super)Renormalizable Gravity. Part I: Visible and Invisible Sectors of the Universe
• Cosmological Constant in a Model with Superstring-Inspired E_6 Unification and Shadow Theta-Particles
• Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?
• Planck Scale Physics, Gravi-Weak Unification and the Higgs Inflation
• An Explicit Embedding of Gravity and the Standard Model in E8
• Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos
• Quantum Gravity at the Fifth Root of Unity
• Time, E8, and the Standard Model
• A group-theorist's perspective on symmetry groups in physics
• Seesaw scales and the steps from the Standard Model towards superstring-inspired flipped E_6
• Spin foam with topologically encoded tetrad on trivalent spin networks
• The Structure of Matter in Spacetime from the Substructure of Time
• Finite symmetry groups in physics
• The GraviGUT Algebra Is not a Subalgebra of $E_8$, but $E_8$ Does Contain an Extended GraviGUT Algebra
• A New Division Algebra Representation of $E_7$
• Potential applications of modular representation theory to quantum mechanics
• A simple E8 construction
• Fine gradings on the simple Lie algebras of type $E$
• The arrangement field of the space-time points
• Nonassociative quantum theory, emergent probability, and coquasigroup symmetry
• Exceptional Periodicity and Magic Star Algebras. I : Foundations
• Lie Group Cosmology
• Landau's Last Paper and its Impact on Developments in Mathematics, Physics and Other Disciplines in New Millennium
• AFT Gravitational Model - Unity of All Elementary Particles in Sp(12,C)
• A New Division Algebra Representation of $E_6$
• Deviation of Large Scale Gravitoelectromagnetic Field in Post-Newtonian Approximation
• Degenerate Vacua of the Universe and What Comes Beyond the Standard Model
• 3 fermionic families naturally arise from hyperionic formalism
• How to build a gravity generator
• Principles of Arrangement Field Theory
• Possible uses of the binary icosahedral group in grand unified theories