414(2): Hamiltonian Method of Defining the Equations of Motion

The hamiltonian is a constant of motion so dH / dt = 0 in frame (r, phi’) and in any frame of reference. This property produces the equations of motion (15) and (16) in frame (r , phi), the usual plane polar frame of the observer, with spin connection (14). Simultaneous numerical solution of these equations of motion produces a precessing and shrinking orbit and explains the Hulse Taylor binary pulsar and S star systems without the artificial use of gravitational radiation. The Einsteinian general relativity fails by an order of magnitude in the S2 star system, but this ECE2 theory describes the precession in a very simple way using Eq. (19). Any observable precession is explained very simply by the angular velocity of frame rotation produced by spacetime torsion. The fully relativistic hamiltonian is Eq. (20) and again has the property dH / dt = 0. This will be developed in the next note to give the fully relativistic orbit and spin connection. The standard model claims to have observed gravitational radiation are looking dippy, in the words of Feynman when talking about his own quantum electrodynamics to Dirac at a conference. Feynman admitted that his theory was dippy, or very dubious, and Dirac described QED as a very ugly theory. I would just say that it is elaborate curve fitting with more adjustables than fingers on both your hands. QCD, ‘t Hooft’s playground, is even uglier. ECE2 has swept all of that away.

 

a414thpapernotes2.pdf


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