425(1): Self Consistent results from the Lagrangian and Hamiltonian Methods

Many thanks again! This is another result of key importance, indicating basically that the frame of m space must always be (r1, phi) in any situation.

425(1): Self Consistent results from the Lagrangian and Hamiltonian Methods

I computed the equations of motion from the Hamiltonian and Lagrangian method, the equations coincide as expected. They are significantly simpler than in the (r,phi) coordinate system and had already been derived in UFT 416, see eqs. (60, 61) in section 3, in that case as Euler-Lagrange equations only. I will add a simple numerical example and then write up section 3.

Horst

Am 14.12.2018 um 12:48 schrieb Myron Evans:

425(1): Self Consistent results from the Lagrangian and Hamiltonian Methods

This note shows that the two methods are self consistent and produce a new equation (24) which is the generalization of the well known Eq. (25) of flat spacetime. For rigorous self consistency it follows that dm(r1) / dt = 0 and dm(r1) / dv1 = 0. This is because the fundamental infinitesimal line element and metric are those of a steady state universe. There is no expanding universe and no Big Bang. This was for example in UFT49. As shown UFT424, the fundamental equation (13) of Euler / Lagrange / Hamilton dynamics is true if and only of dm(r1) / dt = 0. All the results using the lagrangian theory of previous papers are rigorously correct: forward and retrograde precession, shrinking and expanding orbits, the possibility of superluminal motion, the possibilty of infinite energy from m theory, the description of the S1 star and the whirlpool galaxy, and in effect a completely new classical dynamics which overthrows the standard model on the classical level. Eq. (13) of fundamental Euler / Lagrange / Hamilton dynamics is obeyed rigorously by m theory, and the second Evans Eckardt equation dL / dt is given directly by both the classical method and the lagrangian method. The use of dH / dt = 0 and dL / dt = 0 gives Eq. (24), which gives new information on m(r1) and dm(r1) / dr1. The hamiltonian is given rigorously by the fundamental geodesic method, a Lagrangian method.

425(1) – H,L-r1.pdf

425(1) – Lagrangian-r1.pdf


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