An Exceptionally Simple Theory of Everything by A. Garrett Lisi

By A. Garrett Lisi

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The relationship between fermion generations and triality is suggested by the structure of E8 but is not perfectly clear — a better description may follow from an improved understanding of the new w + xΦ fields and their relation to ω + eφ. This relationship may also shed light on how and why nature has chosen a non-compact form, E IX, of E8. Currently, the symmetry breaking and action for the theory are chosen by hand to match the standard model — this needs a mathematical justification. Quantum E8 theory follows the methods of quantum field theory and loop quantum gravity — though the details await future work.

Some aspects of this theory are not yet completely understood, and until they are it should be treated with appropriate skepticism. However, the current match to the standard model and gravity is very good. Future work will either strengthen the correlation to known physics and produce successful predictions for the LHC, or the theory will encounter a fatal contradiction with nature. The lack of extraneous structures and free parameters ensures testable predictions, so it will either succeed or fail spectacularly.

G. Kac, Infinite dimensional Lie algebras, Cambridge University Press (1990).

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