(I received an email response, this is about extracting energy from vacuum flux using the energy of BEMF from field collapse in a coil, I have not copied his response as a courtesy, but it is only fair to publish mine here to provide information to others with similar queries)
Gary, here are your issues a I see them::
1. If you are getting 5 or 10KV BEMF from the transformer, you can't use standard mosfets to drive the coils, one pulse and the MOSFETS are immediately destroyed, or latch on and are destroyed shortly after
2. The BEMF does not "stress" the space inside the transformer, that is the field already inside the flux storage area for the coil being converted back into EMF in the coil (the flux storage area could be air, an iron core, whatever is the core of your transformer). As a simplified explaination, the inductor "resists" changes in the current flowing through the coil. Then you disconnect the switches, it "wants" to keep the same current flowing and the output voltage ramps up (ohms law) to maintain the same current. When the switches turn off, the resistance is likely in the meg-ohm or giga-ohm range so the voltages can get quite high (this is how a pocket shocker converts 1.5V from a battery into the 100-300V conducted through your hand).
3. If the effect you are trying to produce was real, it would have already been measured in scores of low energy physics/EM experiments that are done at a Sophomore lab level.
4. The voltage and current gain you are measuring at our output come at the expense of pulse width. Putting 10V, 1A into a coil for 10ms, then getting 100V 10A for 100us does not break any energy conservation rules.
Energy is measured in Joules for most EE work. one Joule = one watt for one second. One watt = one volt * one amp.
10V * 1A = 10W
10W * .01 sec = 0.1J
100V * 10A = 1000W
1000W * .0001 sec = 0.1J
Because the output of a system like this involves rapidly changing wave forms, it is difficult for the hobbyist to accurately measure the energy output and you end up with lots of people making claims about net energy gain.
The physics of electricity and magnetism are very well understood (Maxwell's equations, Gauss's Law, Faraday equations, Coloumb's Law) and have been verified at energy levels many orders of magnitude higher than what your circuit operates at. Unfortunately while most of these laws/equations have simple to use forms, understanding (and "believing") in the equations requires calculus and differential equations.
That said, the essence of science is that the rules of physics are the same for everyone and if you doubt the consensus of scientific knowledge then you should do your own experiments to test your hypothesis.
To that end, if you can provide me with answers to a few questions I will see if it is possible to design something that meets your needs.
1. What are the Pos BEMF and Neg BEMF networks connected to?
2. What type and value are the C7 and C9 capacitors?
3. What type of MOSFETS are you using? (need the gate charge to determine how much power will be needed to drive the floating gate driver).
4. What frequency is the switching being done at? (same as 3)
It is likely that you will need to use IBGTs instead of MOSFETs for your switches to prevent latchup from the high voltage pulses. IGBTs can be driven by basically the same circuit as a mosfet but are (generally) more tolerant of abuse.