Three Clifford Algebras for Four Kinds of Interactions


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.

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@inproceedings{Daviau2016ThreeCA, title={Three Clifford Algebras for Four Kinds of Interactions}, author={Claude Daviau and Jacques A. Bertrand and Danielle Casanova and C. Daviau}, year={2016} }