tusenfem

and this still hangs on the fact that you can say that 2r = lambda and thus on your specific choice of v

The new universal constant equation applies to all possible values of v.

You still have to give a reason why F=mr,

Neither Relativity nor Quantum theory give the reasons why. This is clearly stated in the introduction to 'Beyond Measure' by Baggot; 'Elementary Particle Physics' by Veltman and many others. This lack of reason is why QT is officially classified as philosophy and not a science (see the SSK branch of sociology [Study of Scientific Knowledge]).

The explanation of linear force is the penultimate item on the Elementary Particle Structure page. I have added a Linear force page which, due to program problems, is not as up to date as I would wish it to be; but it the best I can do in the limited time I can spend on this project.

Optimism does not change the laws of physics. (T'Pol)
But, it is essential to progressing our understanding of the Laws of Physics. (elas)