379(8): ECE2 Covariant Equations and Zero gravitation

I think I will base UFT379 on this note, which combines orbital theory and counter gravitational theory. A major advance was made in UFT378, in that forward and retrograde precession were shown to be derivable from the ECE2 lagrangian. This note builds on that result by using the ECE2 antisymmetry law and by solving Eqs. (7) and (8) simultaneously in order to give the same orbits as those from the lagrangian and hamiltonian. The spin connection vectors for forward and retrograde precession can be found in this way. Similarly the Q vectors can be found for forward and retrograde precessions. In this note the Q vector is interpreted more generally than a particle velocity. It is the gravitational vector potential with the units of linear velocity. The gravitational Coulomb law (17) is introduced. Zero gravitation is defined by Eq. (25), where the potential is found from the Laplace equation (26). In general, g can vanish while the gravitational scalar and vector potentials phi and Q remain finite. This is the gravitational Aharonov Bohm effect. The orbit for zero gravitation can be found from Eqs. (27) and (28), in which the spin connection components for zero gravitation are found by solving Eqs. (25) and (26). So I will proceed to write up sections 1 and 2 of UFT379 as usual. The important Section 3 with graphics and numerical solutions is pencilled in as usual for co author Dr Horst Eckardt, who is currently on vacation.


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