By C Daviau and J Bertrand
World Scientific
In this book, the authors discuss the Standard Model, drawing upon Clifford algebra (a special case of geometric algebra) of space–time, following the work of Hestenes and other physicists that in the 1980s revisited Dirac theory using Clifford formalism.
After an introduction on the basics of Clifford algebra and the Dirac equation, the authors move on to place Dirac theory in a 3D framework, based on the Clifford algebra Cl3 of 3D space. They introduce their homogeneous nonlinear equation and explain why, in their opinion, it is better than the Dirac equation, which is its linear approximation.
Several consequences deriving from these novelties are then discussed extensively. In particular, a first attempt to reconcile the quantum world with inertia and gravitation is made.
The book also includes three appendices, reporting demonstrations and calculations related to the concepts explained in the text, and a rich bibliography.
