Electrodynamics in the Non-Linear Spinor Theory
The interpretation of electrodynamics in the non-linear spinor theory requires the solution of three rather different problems. 1. The eigenvalue equation for the bosons may lead to solutions with mass zero (J 2 = 0). One has to investigate, whether such solutions exist and whether they exhibit the correct transformation properties of the photon with respect to the Lorentz group; Maxwell’s equations would appear as a consequence of the Lorentz-properties of the photon. 2. The behaviour of the photons with respect to the isospin-group must be treated on the basis of a degeneracy of the vacuum, which may explain the lack of isosymmetry in electrodynamics. From this discussion the interaction of the photon with the particles (the “charge” of the particles) should follow. If the theory is correct, it should give the well known rule of Gell-Mann and Nishijima. 3. The coupling constant e 2 /ħc should be derived numerically from the theory. For each of these problems the present lecture can only describe the main steps in the mathematical treatment without giving any details or proofs. The details of the investigation, which has been parried out by Dürr and the author, will be published later 1).
Unable to display preview. Download preview PDF.