A Wave Equation including Leptons and Quarks for the Standard Model of Quantum Physics in Clifford Algebra

HTML  XML Download Download as PDF (Size: 2684KB)  PP. 2149-2173  
DOI: 10.4236/jmp.2014.518210    7,317 Downloads   8,153 Views  Citations

ABSTRACT

A wave equation with mass term is studied for all fermionic particles and antiparticles of the first generation: electron and its neutrino, positron and antineutrino, quarks u and d with three states of color and antiquarks and . This wave equation is form invariant under the group generalizing the relativistic invariance. It is gauge invariant under the U(1)×SU(2)×SU(3) group of the standard model of quantum physics. The wave is a function of space and time with value in the Clifford algebra Cl1,5. Then many features of the standard model, charge conjugation, color, left waves, and Lagrangian formalism, are obtained in the frame of the first quantization.

Share and Cite:

Daviau, C. and Bertrand, J. (2014) A Wave Equation including Leptons and Quarks for the Standard Model of Quantum Physics in Clifford Algebra. Journal of Modern Physics, 5, 2149-2173. doi: 10.4236/jmp.2014.518210.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.