The Standard Model of Quantum Physics in Clifford Algebra

Nonfiction, Science & Nature, Science, Physics, Nuclear Physics, Quantum Theory

• Author: Claude Daviau, Jacques Bertrand
• ISBN: 9789814719889
• Publisher: World Scientific Publishing Company
• Publication: October 8, 2015
• Imprint: WSPC
• Language: English

We extend to gravitation our previous study of a quantum wave for all particles and antiparticles of each generation (electron + neutrino + u and d quarks for instance). This wave equation is form invariant under Cl3*, then relativistic invariant. It is gauge invariant under the gauge group of the standard model, with a mass term: this was impossible before, and the consequence was an impossibility to link gauge interactions and gravitation.

Contents:

• Foreword
• Introduction
• Clifford Algebras
• Dirac Equation
• The Homogeneous Nonlinear Wave Equation
• Invariance of Electromagnetic Laws
• Miscellaneous
• Electro-Weak Interactions: The Lepton Case
• Electro-Weak and Strong Interactions
• Magnetic Monopoles
• Inertia and Gravitation
• Conclusion
• Appendix A: Calculations in Clifford Algebras
• Appendix B: Electron+Neutrino+Quarks
• Appendix C: The Hydrogen Atom
• Bibliography
• Index

Readership: Graduate students and professionals in particle physics or mathematical physics.
Key Features:

• Presents an argument that gravitation is compatible with quantum physics
• The gauge group of the standard model is obtained from the geometry of space-time
• Magnetic monopoles are joined to this new frame