There is no "Theory of Everything" inside E8

Details There is no "Theory of Everything" inside E8 There is no "Theory of Everything" inside E8

2009-05-16

arxiv.org/abs/0905.2658v3

Commun.Math.Phys.298:419-436,2010

Mathematics

Representation Theory

Final version, to appear in Communications in Mathematical Physics. The main difference, from the previous version, is the cre

Scientific paper

10.1007/s00220-010-1006-y

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.

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