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We give an overview of the utilization of E8 in theoretical physics for applications to unified field theory. Concepts such as Lie groups, root systems, and exceptional Lie groups are introduced. A brief overview of spacetime symmetries for gravity and gauge symmetries for the standard model and beyond is provided. A history of exceptional Lie groups in physics is provided, with a highlight on the work stemming from Feza Gursey and his doctoral students. E8 grand unified theory, Garrett Lisi's E8 model, and E8 x E8 heterotic string theory are briefly reviewed. We conclude by discussing recent advances in applications of E8 to unified field theory.

This video was created as a submission to Curt's contest @TheoriesofEverything.

Find out more about emergence theory & E8 at https://quantumgravityresearch.org/

For more research on the subject matter:
Exceptional groups for GUTs and remarks on octonions - Feza Gürsey: https://doi.org/10.1063/1.32989

On tumbling E8 – Mehmet Koca: https://www.sciencedirect.com/science...

A universal gauge theory model based on E6 - F. Gürsey, P.Ramond, P.Sikivie: https://www.sciencedirect.com/science...

Quark structure and octonions - Murat Günaydin and Feza Gürsey: https://doi.org/10.1063/1.1666240

EFFECTIVE OCTONIONIC SUPERSYMMETRY IN HADRONIC PHYSICS - CATTO, SULTAN MEHMET: https://www.proquest.com/openview/01a...

Grand Unification with the Exceptional Group E8 - I. Bars and M. Günaydin: https://journals.aps.org/prl/abstract...

Asymptotically supersymmetrical model of a single interaction based on E8 – Konshtein and Fradkin: http://jetpletters.ru/ps/1432/article...

E8 family unification, mirror fermions, and new low-energy physics - S. M. Barr: https://journals.aps.org/prd/abstract...

An octonionic construction of E8 and the Lie algebra magic square - R. A. Wilson, T. Dray, C. A. Manogue: https://arxiv.org/abs/2204.04996v1

An Exceptionally Simple Theory of Everything - A. Garrett Lisi: https://arxiv.org/abs/0711.0770

An Explicit Embedding of Gravity and the Standard Model in E8 - A. Garrett Lisi: https://arxiv.org/abs/1006.4908

Lie Group Cosmology - A. Garrett Lisi: https://arxiv.org/abs/1506.08073

Super Yang-Mills in (11,3) Dimensions - Ergin Sezgin: https://arxiv.org/abs/hep-th/9703123

Evidence for F-Theory - Cumrun Vafa: https://arxiv.org/abs/hep-th/9602022

S-Theory - Itzhak Bars: https://arxiv.org/abs/hep-th/9607112

Geometrical Structures of M-Theory - Emil Martinec: https://arxiv.org/abs/hep-th/9608017

A magic pyramid of supergravities - A. Anastasiou, L. Borsten, M. J. Duff, L. J. Hughes, S. Nagy: https://arxiv.org/abs/1312.6523

Eric Weinstein’s Geometric Unity: https://geometricunity.org/

Krasnov on Spin(7,7): https://pirsa.org/speaker/Kirill-Krasnov

Tony Smith’s website: https://tony5m17h.net/TShome.html

A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study – Carlos Castro Perelman: https://cdnsciencepub.com/doi/10.1139...

THE EXCEPTIONAL E8 GEOMETRY OF CLIFFORD (16) SUPERSPACE AND CONFORMAL GRAVITY YANG–MILLS GRAND UNIFICATION - CARLOS CASTRO PERELMAN: https://www.worldscientific.com/doi/a...

Octions: An E8 description of the Standard Model - Corinne A. Manogue, Tevian Dray, Robert A. Wilson: https://arxiv.org/abs/2204.05310

An E8⊗E8 unification of the standard model with pre-gravitation, on an octonion-valued twistor space - Priyank Kaushik, Vatsalya Vaibhav, Tejinder P. Singh: https://arxiv.org/abs/2206.06911

There is no "Theory of Everything" inside E8 - Jacques Distler, Skip Garibaldi: https://arxiv.org/abs/0905.2658

Articles by Piero Truini: https://arxiv.org/search/?searchtype=...

Beyond the standard model with six-dimensional spacetime - David Chester, Michael Rios, Alessio Marrani: https://arxiv.org/abs/2002.02391

The Geometry of Exceptional Super Yang-Mills Theories - Michael Rios, Alessio Marrani, David Chester: https://arxiv.org/abs/1811.06101#

Conformal Quasicrystals and Holography - Latham Boyle, Madeline Dickens, Felix Flicker: https://arxiv.org/abs/1805.02665

On the Emergence of Spacetime and Matter from Model Sets - Marcelo Amaral, Fang Fang, Raymond Aschheim, Klee Irwin: https://www.preprints.org/manuscript/...

An Icosahedral Quasicrystal and E8 derived quasicrystals - F. Fang and K. Irwin: https://www.researchgate.net/publicat...