Many thanks, this idea for LENR is certainly worth developing along the lines of previous LENR papers and new ideas as they emerge. It is certainly timely to develop this line of thought. Agreed about the typo in Eq. (13), this is just s simple slip and does not affect the rest of the note. The main advance is that the m (r) function of the infinitesimal line element of the most general spherically symmetric spacetime is cross correlated with the structure equations and Cartan identity. Concerning the sign of F in Eq. (27) it is a matter of choosing m(r) and dm(r) / dr in such a way that F is positive. For example Eq. (24) can be squared on both sides and the complete value of E squared used. This gives a positive F squared and the positive root is taken. When F is positive and very large, the negative nuclear strong force is overcome.

Note 431(1) : Masses of the Elementary Particles and LENR

This is a highly interesting note. It uses the ECE wave equation to determine expressions for the particle mass. This is an idea I wanted to discuss with you at any time, now the time is has come 🙂

In eq.(13) there seems to be a typo, it should read -R instead of +R according to the earlier ECE papers. The values of m1 should be constants, therefore probaly an integration over the particle radius is required to obtain m1 from (33) for example.

There is another problem with the sign of F. With our standard modeling functions of m(r), F is always negative because of

r dm(r)/dr < 2m(r)

and

dm(r)/dr > 0.

I am preparing some graphs to show this. It may be required to set up a more sophistiated modeling function which behaves different within the particle radius. This is a parametrized solution but may be a first step to a obtain positive LENR energies. Of course we should develop some ideas of the mechanism because most nuclei are stable with the same m(r) function in all undisturbed cases.

Horst

Am 06.02.2019 um 11:22 schrieb Myron Evans:

Note 431(1) : Masses of the Elementary Particles and LENR

This note shows that the masses of the elementary particles can be understood by Eq. (12), each particle is defined by its individual m ( r ) function. LENR is understood straightforwardly in terms of the Casimir force (24) of m space discussed in the immediately preceding paper UFT430. Under the condition (28) this force due to m space can easily become greater than the strong nuclear force binding protons and neutrons, so the nucleus splits apart, emitting the energy (32), and causing transmutation.This process is observed as heat. The process has been shown to be reproducible and repeatable many times, and is part of mainstream science. It was discovered in the University of Utah as is well known. There are industrial and military LENR plants, and it is hoped that domestic LENR heaters are just around the corner. The problem has been controlling the heat, so the container does not melt. It is blazingly obvious, to coin an awful pun, that the heat is there. LENR is vastly more efficient than conventional sources of power and heat. The heat can be used to drive turbines and produce electricity. In making a LENR device, the experimenter has effectively tuned to condition (28), discussed in great detail by Horst Eckardt in UFT417 and UFT430. The m(r) function is linked to the R function of the ECE wave equation in Eq. (17). So m(r) has been described self consistently in terns of Cartan geometry.