I have yet o work out the math for your magnet and super-conductor gizmo, although I expect the law of conservation of mass and energy would apply to this in such a way that if the super-conducting ring has zero current to begin with, then if the magnet was moved a fixed distance into the center of the loop, then withdrawn exactly the same distance, the current in the loop would return to zero, at the end, regardless of how fast the insertion or withdrawal were each separately done.

Why is anyone working on anything associated with WITTS? 

What is WITTS ?

The donation concept goes one way for Witts: you can donate to them and MAYBE get something back, but don't expect them to donate their time or knowledge.
The 'donate' approach is done for legal (IRS) reasons. Imho, the IRS could (and should) go after Witts for running an tax fraud: having a specific fixed 'donation' for a specific product/service is equivalent to a purchase/sale.

New from Morocco:  They seem to have achieve a tank resonance of 88Hz with a 7.75kVrms voltage and COP of 0.35. 

http://removingtheshackles.blogspot.com/2014/05/morocco-qeg-update-doing-it-differently.html

That would mean a rotor speed of 5280 rpm.

This morning I found that by using a capacitor in parallel with the primary of a step-down transformer in series with the primary circuit, I was able to extract 10.7 kw into a resistive load attached to the secondary of the step down transformer, where earlier without such a cap I was only able to extract about 5.2 kw.  The parallel cap nulls the phase shift created by putting the primary of the step-down transformer in series with the primary of the QEG, thus making that step-down transformer appear as a purely resistive load to the primary of the QEG.

After this I tried attaching a full wave rectifier to the secondary of the step-down transformer.  The resonance in the primary of the QEG immediately refused to initiate, and I was unable to adjust the circuit values to restore resonance in the QEG primary with the rectifier attached to the secondary of the step-down transformer.

Since none of the replicators have yet to attempt the same with an actual build, and as far as I am aware even James has yet to attempt this, I am very keen to learn just what happens when someone does. 

As far as I can determine from the simulations the QEG only likes purely resistive load, regardless if they are connected directly in series with the primary or isolated with a transformer.  If this turns out to be true for the physical replications as well, it will be a very limiting characteristic of the QEG.

l have found that in every coil there exists a certain relation between its self-induction and capacity that permits a current of given frequency and potential to pass through it with no other opposition than that of ohmic resistance, or, in other words, as though it possessed no self-induction. This is due to the mutual relations existing between the special character of the current and the self-induction and capacity of the coil, the latter quantity being just capable of neutralizing the self-induction for that frequency. It is well known that the higher the frequency or potential difference of the current the smaller the capacity required to counteract the self induction; hence, in any coil, however small the capacity', it may be sufficient for the purpose stated if the proper conditions in other respects be secured.