Author(s)

Claude Daviau¹, Jacques Bertrand²

¹Le Moulin de la Lande, Pouillé-les-Coteaux, France.
²15 Avenue Danielle Casanova, Saint-Gratien, France.

Three Clifford algebras are sufficient to describe all interactions of modern physics: The Clifford algebra of the usual space is enough to describe all aspects of electromagnetism, including the quantum wave of the electron. The Clifford algebra of space-time is enough for electro-weak interactions. To get the gauge group of the standard model, with electro-weak and strong interactions, a third algebra is sufficient, with only two more dimensions of space. The Clifford algebra of space allows us to include also gravitation. We discuss the advantages of our approach.

Geometry, Invariance Group, Dirac Equation, Electromagnetism, Weak Interactions, Strong Interactions, Clifford Algebras, Gravitation

Daviau, C. and Bertrand, J. (2016) Three Clifford Algebras for Four Kinds of Interactions. Journal of Modern Physics, 7, 936-951. doi: 10.4236/jmp.2016.79086.