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There is no "Theory of Everything" inside E8
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There is no "Theory of Everything" inside E8
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We analyze certain subgroups of real and complex forms of the Lie group E8, and deduce that any "Theory of Everything" obtained by embedding the gauge groups of gravity and the Standard Model into a real or complex form of E8 lacks certain representation-theoretic properties required by physical reality. The arguments themselves amount to representation theory of Lie algebras in the spirit of Dynkin's classic papers and are written for mathematicians.
Forward citations
Cited by 2 Pith papers
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Left-right symmetry breaking in $E_6^L\times E_6^R$ occurs only in spacetime -- with possible implications for strong $CP$
Left–right exchange in E6^L×E6^R is spacetime parity, dissolving the second colour and yielding tree-level strong-CP conservation conditional on gravi-weak SU(2)_R.
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The Residual $288$ of the $E_8\times\omega E_8$ Program as Adjoint-Lineage Scaffolding Labels: an Ontology, and the Status of the Bifermionic Lagrangian
The residual 288 in the E₈×ωE₈ program is scaffolding labels not particles, with the bifermionic Lagrangian yielding sterile neutrinos and a second composite scalar.
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