I think the VIC is the biggest obstacle in understanding Meyers work.
In this post I hope all will contribute their ideas and thoughts of how it works.

The research I have done leads me to believe that the VIC chokes form parallel resonant tank circuits.
In the diagram above you can see the drawing shows the equivalent circuit of each choke coil.
There is a capacitor, and inductor, and resistance which forms a parallel RLC circuit.
Current Limiting: If the chokes oscillate at their self resonant frequency they are equivalent to a parallel tank circuit. At resonance the parallel tank circuit has a nearly infinite impedance which limits current to almost zero.
Ref:
http://www.tpub.com/neets/book9/34d.htmVoltage Enhancement: The voltage from the VIC does not come from it's turns ratio. The turns ratio steps up the voltage a little, but not as much as what the VIC outputs.
I believe this is where the square wave pulsing of the VIC comes into play. The square wave provides a very fast change in the circuits line current(note that in the circuit there is the alternating current of the chokes, but there is also a line current.) The line current is the current that flows through the whole circuit. The line current is very small, and it is the current which flows across the water cap.
Ref:
http://www.tpub.com/neets/book9/34e.htmWhen the square wave ends the current falls rapidly and the inductors (Secondary, L1, and L2) induce a voltage which can be calculated using the formula V=Lxdi/dt.
http://www.allaboutcircuits.com/vol_1/chpt_15/2.htmlVoltage Enhancement The other way I think the VIC might be getting it's high voltage from is the tank circuits high circulating current
and the impedance of the parallel tanks componnets. V=I x Z. This is basic ohms law, Voltage = Current times Impedance.
The VIC Output waveform I have to thank TonyW for this as he helped me understand that the VIC outputs AC, not DC. There are 2 AC waves 180 degrees apart which combine to double the output frequency. The diode prevents the secondary coil from shorting, but the AC generated by the chokes (at resonance) still reflects to the water capacitor.
I modeled the VIC matrix circuit above on multisim and at resonance I got 2 AC waves (1 at each plate) which were 180 degrees out of phase. I also got the pulse doubling effect. Unfortunately I did not save the design and when I made changes to it I could not get the simulation to work appropriatel. I have been trying to get it up and running again but have had no luck. If I do I will post it...I think it's just showing that this circuit will not perform the intended output unless it's exactly at resonance.