415(3): Final Version of the Orbit Equations of m Theory
In this final version the spin connection is incorporated and the orbit equations to be solved simultaneously for the orbit are Eqs. (16) and (17). Horst’s powerful integration algorithm can now be used for these equations.The conserved angular momentum L of the system can be found by numerical integration of Eq. (17). As in UFT190 the orbit is also given by Eq, (18), with the ECE m function (19) in which R is a characteristic distance of the universe. As in UFT108 and other papers it has been shown that m theory produces a shrinking orbit. The Lagrangian is found from Eq. (12) and when it is defined in this way the agreement with the kinematic method of this note is ensured automatically. There are also other ways of developing orbit equations of my theory, for example the simultaneous solution of dH / dt= 0 and dL / dt = 0 where H and L are defined by the Einstein Hilbert action. This was used in a previous UFT paper. The spin connection can be used as an adjustable parameter or it can be introduced by rotating frame theory, which has not yet been used with m theory. Having found the spin connection, the vacuum force can be found and the isotropically averaged vacuum fluctuations found as in previous UFT papers. So themes are being woven together as in the final movement of Mozart’s 41st Symphony, the Jupiter Symphony, to produce a powerful and harmonious theory all rigorously and correctly based on geometry. There are hundreds of checks and cross checks and computer algebra is used whenever possible.