In m theory, the question can be asked as to what is the most general orbit that is capable of giving a constant velocity as r goes to infinity. This question can be answered with precision using computer algebra, but I have completed a few hand calculations and in a given approximation the type of spiral galaxy is governed by m(r), so this explains the shapes of various galaxies for example. This is a particularly vivid illustration of m(r) because it can be observed with a large telescope by observing galaxies. I will finish my calculations in this subject and distribute the notes tomorrow. The shape of galaxies is determined by the type of spherical spacetime in which they have evolved. This is a vivid example of applying m(r) theory where both Einstein and Newton fail completely. As in PECE, volumes one and two they both give v dropping off to zero with r, whereas observations show that v reaches a plateau as r goes to infinity. The astronomer who first observed this was ostracized and ridiculed but is now famous. Same old story (SOS) about human nature. In New York they have a variation on SOS which cannot be mentioned here.

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