Many thanks indeed! As usual these graphics vividly illustrate the mathematics in such a way that the general public can understand the theory and the orbits. The spin connection can be linked to vacuum fluctuation theory and defines the vacuum force, so orbital theory is explained self consistently with Lamb shift theory, as expected from a unified field theory. Would it be possible to prepare a graph that shows the orbit shrinking to a point? That would be a neat illustration of the theory, it would be obvious to everyone that the orbit shrinks to a point, so m will eventually collide with M.

Graph of the Spin Connection for a Precessing and Shrinking Orbit

I will add such graphs in the paper. As an example some graphs for an exponentially decaying omega_1:

F1: omega_1, d(omega_1)/dt

F2: spin connection Omega_r

F3: orbit

F4: phi_dot and r_dot

From F4 it can be seen that phi_dot increases in magnitude and the orbital period T decreases. The spin connection is modulated by the radius changes in the orbit.

Horst

Am 05.09.2018 um 08:21 schrieb Myron Evans:

Graph of the Spin Connection for a Precessing and Shrinking Orbit

This is Eq. (8) of note 414(1). It would be very interesting to graph it in various ways as a function of omega sub 1, d omega sub 1 / dt and t. Also it would be very interesting to plot the results of the ECE2 (r, phi’ ) theory against experimental data for the Hulse Taylor binary pulsar, notably the astronomically observed orbital shrinkage of the binary pulsar and its observed precession. There are probably many binary pulsars known by now. The precession in the classical limit of the (r, phi’) theory is simply delta phi = omega sub 1 T, where omega sub 1 is the angular velocity of the de Sitter type frame rotation induced by spacetime torsion, and T is the time taken to complete a revolution of 2 p radians of m about M. So it would also be very interesting to research and find some S star systems in which EGR fails completely, and use ECE2 (r , phi’) theory to explain all the S star precessions precisely. For any reasonable scientist or member of the general public, that deserves a Nobel Prize. The theoretical foundations of ECE2 are actually a hundred years old, Cartan geometry. These geometrical foundations have not changed in a century and are developed into physics in many simple and imaginative ways. This procedure has been described as brilliantly economical by a leading specialist in differential geometry, Diego Rapaport.