Are you playing with me? or do you want people with less knowledge of math to follow the reasoning? There is no need to go further down in the details unless you are very weak in maths in which case I think we should invite someone else to testify the steps. Also did you not see how m -> m / (2 pi) can be done in a change of reference systems and explains all 2*pi.
Eric may or may not be, by your standards, very weak in maths. That is not the point: which is that any mathematical derivation can be laid out explicitly and in detail (as you would find in any proof) so that it can be agreed or (if incorrect) shown wrong by anyone able to do maths. Expecting others to fill in gaps, however this may be easy for you, is not fair because the same argument could be made by someone who cannot fill in the gaps himself.