In general, if one sets up an equation F bold = gamma cubed m g bold, then it follows that moduli or magnitudes can be taken both sides, giving F = gamma cubed mg. This is because gamma cubed is a premultiplying scalar.
Date: Sat, Feb 17, 2018 at 6:53 PM
Subject: Re: 402(1): Origin of Retrograde Precession
To: Myron Evans <myronevans123>
I think that constructing a vector equation from a scalar equation is not unique, see my other emails from today.
Horst
Am 16.02.2018 um 13:46 schrieb Myron Evans:
It is shown that the lagrangian that gave retrograde precession in UFT377, Eq.(1), must be interpreted as Eq. (4), which splits into Eqs. (10) and (11). In retrograde precession, the relativistic Newtonian force is used as in Eqs. (12) and (13). Forward precession is given by Eqs. (28) and (29), which are found from the same Eqs. (10) and (11) as retrograde precession, but without the specific use of the relativistic force. The vector form of the relativistic force, Eq. (24), is found from its magnitude, Eq. (15) in the development from Egs (15) to (24). So the retrograde precession is given by the relativistic Newtonian force, which accounts for relativistic conservation of momentum (Marion and Thornton, chapter 14) because the relativistic velocity is deduced from conservation of momentum in special relativity. ECE2 relativity is essentially special relativity in a space with finite torsion and curvature. TRhe latter are missing completely from ordinary special relativity. The retograde precession equations (25) and (26) therefore take account of conservation bothf of relativistic energy and linear momentum but the forward precession equations (28) and (29) consider only the lagrangian and conservation of relativistic energy (relativistic hamiltonian). So the retrograde precession theory is more complete. Both retrograde and froward precession obey the laws of the Hamilton Lagrange dynamics. By changing initial conditions, retrograde precession may become forward precession, and vice versa.