First of !!! thats awesome Steve, yet from your video i think you have a harmonic not resonance (sorry to be a stick in the mud, measure you cell capacitance and your connected inductance, total, LC resonance the numbers).
Just cause everyone is doing it i though i would throw in my thoughts on this process. This is an oscillating tank circuit. By pulsing the closed loop (transformer/s, inductor,cap,inductor back to transformer) you move the electrons from one side of the cap to the other. There is resistance in the inductors to create the magnetic field. Once the charge has moved the electrons to one plate and the inductors field has collapsed forcing the charge to increase on said plate (and your dielectric loss at that voltage have been removed as a small amount of electrolysis). With the lack of any forces holding this charge on the capacitor there is an imbalance moving all the electrons back through the circuit (setting up reverse polarity magnetic fields) to the other plate, where the inductors cram up the voltage again as their fields collapse (as you increase voltage the amount of resistance to amp flow a material has is reduced. This then flows back the other way except if you transformer pulses at just the right time it bolsters this movement of electrons, (electro-magnetic strength is based very heavily on amp flow so on the high voltage side there is less amp flow) and increases its quantity of charge (quantity as in amp strength not voltage potential). This pumping action continues (and you loose a little bit more of your charge each time there is no resonant "kick") until you hit the breakdown point of the dielectric.
Then if you can keep the voltage rising past this point you can actually get to the point of "avalanche effect". Now as stan used an alternator in tune with his cell, at the begining, he would of been pumping in both directions, not really needed.
At true resonance your cell will continue to increase in voltage until all of your input amps are passed through the dielectric at each oscillation. This said a far better set up would be a step-down transformer as this would push more amps through the circuit (theory point!!!)
All in all you are doing all of our "B" and "C"'s for us!!!