Myron’s last paper, for which he wrote notes, was paper 438 (old numeration), which was about dark stars and escape velocities. I am preparing this paper as “opus postumum” of Myron, which will go as UFT 442 to the web site. There are 4 notes of Myron, where he described escape velocities for Newtonian physics, special relativity and m theory. The latter is the highest current standard of general relativity. I extended the calculation – according to Myron’s last statement – to dynamical solutions of the Lagrange equations of m theory. From earlier calculations we thought that these equations are a bit different from the direct solution of energy and momentum conservation, which we called Evans-Eckardt equations. Now I found out (by a different Maxima code solving the same Evans-Eckardt equations) that both equation sets are identical. It is not clear where this difference came from but the result is much more satisfactory than before and earlier problems were resolved.
The escape velocity of an orbiting mass from a gravitating mass is
v = m(r) c,
where r is the starting radius of the escaping mass. Obviously, the velocity of light c is not a fixed escape limit. If m(r)<1, then an object can escape from a heavy star with sub-luminal velocity. In the next post and in paper 442 we will see that this is could be the case for light.