%0 Journal Article %T Geometry of the Standard Model of Quantum Physics %A Claude Daviau %A Jacques Bertrand %J Journal of Applied Mathematics and Physics %P 46-61 %@ 2327-4379 %D 2015 %I Scientific Research Publishing %R 10.4236/jamp.2015.31007 %X
General relativity links gravitation to the
structure of our space-time. Nowadays physics knows four types of interactions:
Gravitation, electromagnetism, weak interactions, strong interactions. The
theory of everything (ToE) is the unification of these four domains. We study
several necessary cornerstones for such a theory: geometry and mathematics,
adapted manifolds on the real domain, Clifford algebras over tangent spaces of
these manifolds, the real Lagrangian density in connection with the standard
model of quantum physics. The geometry of the standard model of quantum physics
uses three Clifford algebras. The algebra of the 3-dimensional
physical space is sufficient to describe the wave of the electron. The algebra of space-time is sufficient
to describe the wave of the pair electron-neutrino. A greater space-time with
two additional dimensions of space generates the algebra