TITLE:
Three Clifford Algebras for Four Kinds of Interactions
AUTHORS:
Claude Daviau, Jacques Bertrand
KEYWORDS:
Geometry, Invariance Group, Dirac Equation, Electromagnetism, Weak Interactions, Strong Interactions, Clifford Algebras, Gravitation
JOURNAL NAME:
Journal of Modern Physics,
Vol.7 No.9,
May
27,
2016
ABSTRACT: 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.