[deleted]
Lorraine,
Thanks for reading and commenting ... and voting:-)
I am an engineer by education. I think there is an underlying physical reality that is described by mathematics. Mathematics is useful to me to the extent that it provides a method to analyze the physical world. There are also many areas of "Pure Mathematics" that I have never studied. I do not know whether or not there is a "Platonic Realm" of pure ideas or not. I do know that there are many instances where "Pure Mathematics" has found an application to "Applied Mathematics" in the physical word. Geometric Algebra seems to be one of the more recent examples of this. I am content to let the true mathematicians frolic in these realms to their heart's content.
The difference regarding our thinking is that I need evidence to make me believe that there are "one-off" rules. If two hypotheses make identical predictions then I can not choose one over the other. My default condition therefore is to go with what has already been established unless something else is favored by Occam's Razor. So in short, it is not that I have not heard your ideas or that I have not understood your ideas. You simply have not satisfied your obligations according to the scientific method.
Ah yes .... the true rest frame. You've caught me. I am one of those aether heretics. The v in Eq 2 is the velocity of the observer's reference frame. Equation 2 let's me return to the concept of a true rest frame and make new predictions. For example, I would predict that if you were in a galaxy that is moving away from us at near light speed, the Mp/Me ratio in your reference frame would be many thousands of times larger than in our reference frame. But, if 2 reference frames are identical, then the equation 2 for each of them simply cancel ... kind of like multiplying by one.
This also lets me reinterpret our place in the universe. If we are moving much more slowly than other reference frames, then we might not be at the center of the universe, but we have moved away from the center by a snaller distance than other reference frames. Essentially, I do not believe that relative motion A -> B is equivalent to relative motion B -> A. This is in contradiction to part of Relativity. My saving grace is that I want empirical validation.
The 5-D geometry allows any 3-D space to have its own reference frame by using a different phase angle in the complex plane.
Best Regards and Good Luck,
Gary Simpson