**Subject:** ECE Equation of the Rest Fermion

**Date:** Tue, 21 Apr 2009 08:04:56 EDT

Many thanks! I think that most scientists will be able to understand this paper without difficulty. I have tried to reduce the abstraction of modern mathematics to simple matrix algebra that can be understood by chemists. The main advantage of ECE is that the effect of other fields on the fermion can be computed in theory, for example the electromagnetic field and gravitational field. As can be seen from books such as Ryder or Weinberg, quantum field theory in physics is often vague abstraction, so I tried to write this paper as simply as possible.

These are very major advances!! Congratulations – a new era of physics has no longer just started, you have taken us deeply into it. I hope visitors to your websites realise how significant this – it rewrites a very large and important part of twentieth century physics.

Best, Gareth Send

**Date:** Tue, 21 Apr 2009 05:07:13 -0400

**Subject:** 130(8): ECE Equation of the Rest Fermion

The ECE equation of the rest fermion is eq. (26), which produces the same information as the Dirac equation of the rest fermion but has the advantage of simplicity, it uses only 2 x 2 matrices, and is derived directly from the tetrad postulate of Cartan geometry in the free fermion limit. So this note will encapsulate the final form of paper 129, which I will proceed to write up now. Note carefully that negative energy is discarded as being unphysical on the classical level, and so there is no problem with it. There is no need for a Dirac sea, and there is no need for Dirac matrices. These are major advances in mathematics and physics. The main point is that the ECE equation of the rest fermion is derived form the ECE Lemma in a well defined limit. The wavefunction is therefore a tetrad, a 2 x 2 matrix in the SU(2) representation. Paper 129 is for the rest fermion, but this analysis will be extended to the fermion with finite momentum in paper 130. As usual papers 129 and 130 will be posted with voluminous background notes giving all detail for the scholar.

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