Final Note for UFT226

In the final note I will illustrate the general theory from the ECE fermion equation with interaction between two particles. This can be a collision and scattering process or a transmutation. It is then possible to imagine the same two particle process taking place with an extra four momentum from spacetime, giving the extra energy needed for nuclear reaction and to overcome the Coulomb barrier. I have realized that this is a general method of dealing with field matter and field field interaction on the relativistic semi classical level and also the classical relativistic level. It is capable of considerable development and reduces to a Schroedinger equation in the non relativistic limit, sometimes known as Schroedinger Pauli theory. Co author Horst Eckardt (and Douglas Lindstrom as second co author) may like to think of applying this new general theory to the specific examples in low energy nuclear reaction that is being discussed with the Munich group. In UFT158 ff. it has been shown that the de Broglie Einstein theory of particle collision gives wildly erroneous results in general, so this new theory is based on the ECE wave equation (R theory), which reached its fully developed stage in UFT182. This new theory carries on from UFT182 by factorizing the ECE wave equation into the fermion equation (UFT173) and developing the various terms of the fermion equation on the semi classical level with the minimal prescription. The fermion equation has many advantages over the Dirac equation, notably it eliminates negative energy and allows single fermion quantization (sometimes called second quantization) in quantum field theory. In UFT227 a fully quantized development will be attempted with the two particle wave function. Computational methods for the Dirac equation are highly developed (e.g. they were being developed at the Clementi environment in IBM Kingston when I was there from 1986 to 1988), and the code can be obtained from code libraries such as IBM MOTECC (for which I was the first project writer in 1988 at IBM Kingston, New York) and adapted for the fermion equation using contemporary supercomputers. These are much more powerful than the mid eighties IBM 3090 – 6S / 6J supercomputer upon which I did most of my work at Kingston, Cornell and ETH Zurich, linked to the University of Zurich, or IBM RISC 6000 of that era. At IBM Kingston we helped pioneer parallel processing and computer animation. These are used routinely today.

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