TITLE:
A Wave Equation including Leptons and Quarks for the Standard Model of Quantum Physics in Clifford Algebra
AUTHORS:
Claude Daviau, Jacques Bertrand
KEYWORDS:
Invariance Group, Dirac Equation, Electromagnetism, Weak Interactions, Strong Interactions, Clifford Algebras
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.18,
December
29,
2014
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.