By Stephen Timoshenko, Donovan Harold Young
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3978.  T. Gosset, “On the regular and semi-regular figures in space of n dimensions,” Messenger of Mathematics 29 (1900) 43.  D. 3091.  F. , Apr 10-12 (1980). G. Lisi, “Quantum mechanics from a universal action reservoir,” physics/0605068. W. MacDowell and F. Mansouri, “Unified Geometric Theory of Gravity and Supergravity,” Phys. Rev. Lett. 38 (1977) 739.  L. Smolin and A. Starodubtsev, “General relativity with a topological phase: An Action principle,” hep-th/0311163.  L. Freidel and A.
The fermions fit together perfectly in chiral representations under graviweak so(7, 1), and the frame-Higgs has all the correct interactions. This frame-Higgs naturally gets a φ4 potential and produces a positive cosmological constant. Finally, and most impressively, the fit of all fields of the standard model and gravity to E8 is very tight. The structure of E8 determines exactly the spinor multiplet structure of the known fermions. There are also aspects of this theory that are poorly understood.
38 (1977) 739.  L. Smolin and A. Starodubtsev, “General relativity with a topological phase: An Action principle,” hep-th/0311163.  L. Freidel and A. Starodubtsev, “Quantum gravity in terms of topological observables,” hep-th/0501191.  M. 1317.  R. 3851.  S. O. , “Quantum gravity and the standard model,” hep-th/0603022. G. Kac, Infinite dimensional Lie algebras, Cambridge University Press (1990).