Uploaded November 2022 | Updated September 2026, 2 weeks ago
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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 quantumgravityresearch.org
For more research on the subject matter:
Exceptional groups for GUTs and remarks on octonions - Feza Gürsey: doi.org/10.1063/1.32989
On tumbling E8 – Mehmet Koca: sciencedirect.com/science/article/abs/pii/0370269381911503?via%3Dihub
A universal gauge theory model based on E6 - F. Gürsey, P.Ramond, P.Sikivie: sciencedirect.com/science/article/abs/pii/0370269376904172?via%3Dihub
Quark structure and octonions - Murat Günaydin and Feza Gürsey: doi.org/10.1063/1.1666240
EFFECTIVE OCTONIONIC SUPERSYMMETRY IN HADRONIC PHYSICS - CATTO, SULTAN MEHMET: proquest.com/openview/01a79cb1b6e5b9e26da6ce94595183a5/1?pq-origsite=gscholar&cbl=18750&diss=y
Grand Unification with the Exceptional Group E8 - I. Bars and M. Günaydin: journals.aps.org/prl/abstract/10.1103/PhysRevLett.45.859
Asymptotically supersymmetrical model of a single interaction based on E8 – Konshtein and Fradkin: http://jetpletters.ru/ps/1432/article_21801.pdf
E8 family unification, mirror fermions, and new low-energy physics - S. M. Barr: journals.aps.org/prd/abstract/10.1103/PhysRevD.37.204
An octonionic construction of E8 and the Lie algebra magic square - R. A. Wilson, T. Dray, C. A. Manogue: arxiv.org/abs/2204.04996v1
An Exceptionally Simple Theory of Everything - A. Garrett Lisi: arxiv.org/abs/0711.0770
An Explicit Embedding of Gravity and the Standard Model in E8 - A. Garrett Lisi: arxiv.org/abs/1006.4908
Lie Group Cosmology - A. Garrett Lisi: arxiv.org/abs/1506.08073
Super Yang-Mills in (11,3) Dimensions - Ergin Sezgin: arxiv.org/abs/hep-th/9703123
Evidence for F-Theory - Cumrun Vafa: arxiv.org/abs/hep-th/9602022
S-Theory - Itzhak Bars: arxiv.org/abs/hep-th/9607112
Geometrical Structures of M-Theory - Emil Martinec: arxiv.org/abs/hep-th/9608017
A magic pyramid of supergravities - A. Anastasiou, L. Borsten, M. J. Duff, L. J. Hughes, S. Nagy: arxiv.org/abs/1312.6523
Eric Weinstein’s Geometric Unity: geometricunity.org
Krasnov on Spin(7,7): pirsa.org/speaker/Kirill-Krasnov
Tony Smith’s website: tony5m17h.net/TShome.html
A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study – Carlos Castro Perelman: cdnsciencepub.com/doi/10.1139/cjp-2013-0686
THE EXCEPTIONAL E8 GEOMETRY OF CLIFFORD (16) SUPERSPACE AND CONFORMAL GRAVITY YANG–MILLS GRAND UNIFICATION - CARLOS CASTRO PERELMAN: worldscientific.com/doi/abs/10.1142/S0219887809003588
Octions: An E8 description of the Standard Model - Corinne A. Manogue, Tevian Dray, Robert A. Wilson: 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: arxiv.org/abs/2206.06911
There is no "Theory of Everything" inside E8 - Jacques Distler, Skip Garibaldi: arxiv.org/abs/0905.2658
Articles by Piero Truini: arxiv.org/search/?searchtype=author&query=Truini%2C+P&order=-announced_date_first&size=50&abstracts=show
Beyond the standard model with six-dimensional spacetime - David Chester, Michael Rios, Alessio Marrani: arxiv.org/abs/2002.02391
The Geometry of Exceptional Super Yang-Mills Theories - Michael Rios, Alessio Marrani, David Chester: arxiv.org/abs/1811.06101#
Conformal Quasicrystals and Holography - Latham Boyle, Madeline Dickens, Felix Flicker: arxiv.org/abs/1805.02665
On the Emergence of Spacetime and Matter from Model Sets - Marcelo Amaral, Fang Fang, Raymond Aschheim, Klee Irwin: preprints.org/manuscript/202111.0359/v2
An Icosahedral Quasicrystal and E8 derived quasicrystals - F. Fang and K. Irwin: researchgate.net/publication/284788049_An_Icosahedral_Quasicrystal_as_a_Golden_Modification_of_the_Icosagrid_and_its_Connection_to_the_E8_Lattice
Love our work? Help us continue our research by joining our giving circle. Even just $1/month helps us further our cause: quantumgravityresearch.givingcircles.io
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 quantumgravityresearch.org
For more research on the subject matter:
Exceptional groups for GUTs and remarks on octonions - Feza Gürsey: doi.org/10.1063/1.32989
On tumbling E8 – Mehmet Koca: sciencedirect.com/science/article/abs/pii/0370269381911503?via%3Dihub
A universal gauge theory model based on E6 - F. Gürsey, P.Ramond, P.Sikivie: sciencedirect.com/science/article/abs/pii/0370269376904172?via%3Dihub
Quark structure and octonions - Murat Günaydin and Feza Gürsey: doi.org/10.1063/1.1666240
EFFECTIVE OCTONIONIC SUPERSYMMETRY IN HADRONIC PHYSICS - CATTO, SULTAN MEHMET: proquest.com/openview/01a79cb1b6e5b9e26da6ce94595183a5/1?pq-origsite=gscholar&cbl=18750&diss=y
Grand Unification with the Exceptional Group E8 - I. Bars and M. Günaydin: journals.aps.org/prl/abstract/10.1103/PhysRevLett.45.859
Asymptotically supersymmetrical model of a single interaction based on E8 – Konshtein and Fradkin: http://jetpletters.ru/ps/1432/article_21801.pdf
E8 family unification, mirror fermions, and new low-energy physics - S. M. Barr: journals.aps.org/prd/abstract/10.1103/PhysRevD.37.204
An octonionic construction of E8 and the Lie algebra magic square - R. A. Wilson, T. Dray, C. A. Manogue: arxiv.org/abs/2204.04996v1
An Exceptionally Simple Theory of Everything - A. Garrett Lisi: arxiv.org/abs/0711.0770
An Explicit Embedding of Gravity and the Standard Model in E8 - A. Garrett Lisi: arxiv.org/abs/1006.4908
Lie Group Cosmology - A. Garrett Lisi: arxiv.org/abs/1506.08073
Super Yang-Mills in (11,3) Dimensions - Ergin Sezgin: arxiv.org/abs/hep-th/9703123
Evidence for F-Theory - Cumrun Vafa: arxiv.org/abs/hep-th/9602022
S-Theory - Itzhak Bars: arxiv.org/abs/hep-th/9607112
Geometrical Structures of M-Theory - Emil Martinec: arxiv.org/abs/hep-th/9608017
A magic pyramid of supergravities - A. Anastasiou, L. Borsten, M. J. Duff, L. J. Hughes, S. Nagy: arxiv.org/abs/1312.6523
Eric Weinstein’s Geometric Unity: geometricunity.org
Krasnov on Spin(7,7): pirsa.org/speaker/Kirill-Krasnov
Tony Smith’s website: tony5m17h.net/TShome.html
A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study – Carlos Castro Perelman: cdnsciencepub.com/doi/10.1139/cjp-2013-0686
THE EXCEPTIONAL E8 GEOMETRY OF CLIFFORD (16) SUPERSPACE AND CONFORMAL GRAVITY YANG–MILLS GRAND UNIFICATION - CARLOS CASTRO PERELMAN: worldscientific.com/doi/abs/10.1142/S0219887809003588
Octions: An E8 description of the Standard Model - Corinne A. Manogue, Tevian Dray, Robert A. Wilson: 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: arxiv.org/abs/2206.06911
There is no "Theory of Everything" inside E8 - Jacques Distler, Skip Garibaldi: arxiv.org/abs/0905.2658
Articles by Piero Truini: arxiv.org/search/?searchtype=author&query=Truini%2C+P&order=-announced_date_first&size=50&abstracts=show
Beyond the standard model with six-dimensional spacetime - David Chester, Michael Rios, Alessio Marrani: arxiv.org/abs/2002.02391
The Geometry of Exceptional Super Yang-Mills Theories - Michael Rios, Alessio Marrani, David Chester: arxiv.org/abs/1811.06101#
Conformal Quasicrystals and Holography - Latham Boyle, Madeline Dickens, Felix Flicker: arxiv.org/abs/1805.02665
On the Emergence of Spacetime and Matter from Model Sets - Marcelo Amaral, Fang Fang, Raymond Aschheim, Klee Irwin: preprints.org/manuscript/202111.0359/v2
An Icosahedral Quasicrystal and E8 derived quasicrystals - F. Fang and K. Irwin: researchgate.net/publication/284788049_An_Icosahedral_Quasicrystal_as_a_Golden_Modification_of_the_Icosagrid_and_its_Connection_to_the_E8_Lattice
