I suppose I should have explained more clearly what I was trying to do. Since Geistkiesel accidentally posted two different equations (probably a typographical error), I was not sure which one was right, so I tried to derive it myself. I think my expression #10 is the one that Geistkiesel meant to post. Anyway, I got an idea from this post of GK's: I thought, perhaps there could be a time dilation formula, based on Geistkiesel's ideas, but one which includes both the forward and the rearward "delta t" that you mentioned. More specifically, I suppose this would be clock dilation, and not time dilation. But on a local scale it might be construed as time dilation by an unwitting experimenter on the train. I suppose this is no different from Aether theory, but I had never heard much about "clock dilation" within that theory, so I thought it would be interesting to see what I could derive. I realize that there is no length contraction in this theory, and that c is only isotropic in the absolute rest frame. It is obviously different from relativity (I even compare it to relativity in the last section). However, it still does predict a time dilation effect (clock dilation) for the train, and I thought that this does support some of Geistkiesel's earlier posts to that effect.