文档介绍：Preprint typeset in JHEP style - HYPER VERSION
An Exceptionally Simple Theory of Everything
A. Garrett Lisi
SLRI, 722 Tyner Way, Incline Village, NV 89451
E-mail: ******@
Abstract: All fields of the standard model and gravity are unified as an E8 principal bundle
connection. A pact 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.
Keywords: ToE.
arXiv: [hep-th] 6 Nov 2007
Contents
1. Introduction 1
A connection with everything 2
2. The Standard Model Polytope 4
Strong G2 5
Graviweak F 4 8
Gravitational D2 8
Electroweak D2 10
Graviweak D4 11
F 4 13
F 4 and G2 together 14
E8 16
New particles 21
E8 triality 22
3. Dynamics 23
Curvature 23
Action 25
Gravity 25
Other bosons 26
Fermions 27
4. Summary 28
5. Discussion and Conclusion 28
1. Introduction
We exist in a universe described by mathematics. But which math? Although it is inter-
esting to consider that the universe may be the physical instantiation of all mathematics,[1]
there is a classic principle for restricting the possibilities: The mathematics of the universe
should be beautiful. A essful description of nature should be a concise, elegant, unified
mathematical structure consistent with experience.
Hundreds of years of theoretical and experimental work have produced an extremely
essful pair of mathematical theories describing our world. The standard model of parti-
cles and interactions described by quantum field theory is a paragon of predictive excellence.
– 1 –
General relativity, a theory of gravity bui