417(7): Role of m(r) in the Classical Lagrangian and Hamiltonian

This final note for UFT417 shows how the m(r) function of the general spherical spacetime (“m space” for short) works its way through into all aspects of classical dynamics. In particular, orbit theory. This note uses a rigorously self consistent method to calculate the orbital velocity in m space, given by Eq. (59). So m(r) can be measured by routine contemporary astronomy given the observed orbital velocity v at the observed point r. In the limit m(r) goes to one the well known Newtonian result (61) is regained correctly. In general, m(r) is given by the real and physical solutions of the quartic (62), which reduces to the Newtonian result in the limit x goes to one, where x := m(r) power half. Computer algebra can be used to solve the quartic (62). This note also gives a completely new test of the obsolete Einsteinian general relativity, in which m(r) = 1 – r0 / r. where r0 is 2MG / (c squared), the so called “Schwarzschild radius”. EGR is completely wrong however, as is well known by now. The m theory goes far beyond anything that EGR ever produced and in fact changes the entire subjects of dynamics, astronomy, cosmology and electrodynamics. It also works its way into nuclear and particle physics. So this will be an important paper giving several completely original results: superluminal space travel; infinite vacuum energy for poverty striken peoples, and a method of finding m(r) by routine astronomy. The paper will as usual be rigorously Baconian, the theory can be tested straightforwardly with routine astronomy. It complements the precession method with a new orbital velocity method.


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