CONSTRUCTION OF THE CURVATURE ON CAYLEY ALGEBRA OCTAVES
2011jgw | Dorofeev V.Yu.  // Friedmann Laboratory for Theoretical Physics, St-Petersburg, Russia, friedlab@mail.ru

Lagrangian of matter fields of electron-lepton sector is constructed on Cayley algebra octaves. It is inferred from the model that the state space is ten-dimensional. It is proposed to determine the non-associative part of the Lagrangian as a manifestation of gravity. It turns out a pair of oppositely charged massless vector bosons induces gravity. It is shown the model of the Lagrangian with Schwarzschild as well as Friedman metric is consistent.

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