There is no "Theory of Everything" inside E8
Jacques Distler, Skip Garibaldi
TL;DR
The paper demonstrates that embedding the Standard Model and gravity gauge groups into E8 does not satisfy key representation-theoretic properties needed for a viable 'Theory of Everything', based on Lie algebra analysis.
Contribution
It provides a rigorous mathematical analysis showing the incompatibility of E8-based unification models with physical representation requirements.
Findings
E8 embeddings lack necessary representation-theoretic properties
Mathematical proof based on Lie algebra representation theory
Implication that E8 cannot serve as a 'Theory of Everything'
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.