Probability Current of the Fermion Equation

Feed: Dr. Myron Evans
Posted on: Monday, January 24, 2011 7:11 AM
Author: metric345
Subject: Probability Current of the Fermion Equation

This is the next stage of the notes for UFT 172 and the short lecture notes type monograph on the Fermion Equation I plan for CISP. The problem with the Klein Gordon wave equation of 1928 was that the probability could be negative. The Dirac equation is traditionally said to produce a rigorously non negative probability with the use of the Dirac spinor. I think that this result will remain true, but I note that Ryder used the chiral rep to obtain this current in his book, not the standard rep as usually used by Dirac. The ECE fermion equation should be capable of development in quantum field theory: second quantization and quantum electrodynamics, but without the use of renormalization. So to summarize the results to date.

1) Negative energy is not meaningful and the ECE fermion equation produces positive energy.
2) The fermion equation produces the Lande factor of the electron (g = 2) more simply than the Dirac equation and without negative energy.
3) Half integral spin is intrinsic to the fermion equation.
4) The anti fermion equation is produced by parity inversion.
5) The wave equation with ECE spinor is an example of an ECE wave equation in the general spacetime, and part of a generally covariant unified field theory.
6) The complete details in the notes show that all calculations are correct

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