Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-12-23
Published in J.D. Brown et al., eds., Proceedings of the Cornelius Lanczos International Centenary Conference, Raleigh, North
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages. Version 2 with an errata
Scientific paper
Lanczos's quaternionic interpretation of Dirac's equation provides a unified description for all elementary particles of spin 0, 1/2, 1, and 3/2. The Lagrangian formulation given by Einstein and Mayer in 1933 predicts two main classes of solutions. (1) Point like partons which come in two families, quarks and leptons. The correct fractional or integral electric and baryonic charges, and zero mass for the neutrino and the u-quark, are set by eigenvalue equations. The electro-weak interaction of the partons is the same as with the Standard model, with the same two free parameters: e and sin^2 theta. There is no need for a Higgs symmetry breaking mechanism. (2) Extended hadrons for which there is no simple eigenvalue equation for the mass. The strong interaction is essentially non-local. The pion mass and pion-nucleon coupling constant determine to first order the nucleon size, mass and anomalous magnetic moment.
Gsponer Andre
Hurni Jean-Pierre
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