New insights in the standard model of quantum physics in Clifford Algebra (Report 3)

Abstract : The form invariance of the Dirac wave uses not the Lorentz group but SL(2,C). The true invariance group is the group of invertible elements in the Clifford algebra of space. This algebra is the basic tool to get right and left quantum waves. The space-time Clifford algebra and a third Clifford algebra of space-time with two supplementary dimensions of space allow to get chromodynamics and the gauge group of the standard model. A non-linear wave equation solves the puzzle of negative energies and gives a geometric role to the quantum wave which defines local dilations between two space-time manifolds. We account for the existence of three generations of fermions and four kinds of neutrinos. The enlarged invariance governs all electromagnetic laws. It is extended to systems of electrons in a way compatible with the Pauli principle. The larger invariance group rules the electro-weak theory. We account for the link between the wave of the particle and the antiparticle. We extend to the quarks the electro-weak gauge. We extend the form invariance and the gauge invariance to the U(1)xSU(2)xSU(3) group. Electrons and neutrinos are automatically insensitive to strong interactions. We get for the pair electron-neutrino a wave equation with a mass term, form invariant and gauge invariant under the U(1)xSU(2) group. The mechanism of spontaneous broken symmetry is then useless. We present experimental results on magnetic monopoles. We extend to magnetic monopoles the electro-weak gauge.
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Contributor : Claude Daviau <>
Submitted on : Monday, June 2, 2014 - 4:52:49 PM
Last modification on : Monday, April 9, 2018 - 12:20:04 PM
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  • HAL Id : hal-00907848, version 3



Claude Daviau, Jacques Bertrand. New insights in the standard model of quantum physics in Clifford Algebra (Report 3). 2014. ⟨hal-00907848v3⟩



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