Sorry, I wasn't trying to be dismissive, just talking through the idea and trying to add points to consider. You were correct that I missed your point in my first reply, but I thought my second response was certainly on-topic (other than an off-hand reference to zero-point energy, but I thought it paralleled your comment on perpetual motion quite well).
Would you care to elaborate on why using a multi step conversion process will give an advantage over a traditional 3 battery series? The main point is you don't get something for nothing. By drawing from a single 12V battery instead of a series of (3) 12V batteries, you will draw at least 3x the current from that single battery. Most of the battery technologies currently in play actually prefer lower amp draws. And as far as getting from point A to point B, the energy equation is still the same. You may be leaving the other 2 batteries untouched, but now your battery will discharge in 1/3 the time. As you mentioned, the "law of conservation of energy" is directly in play here. My comment on possible uses in adapting fuel cells to e-bikes is on target.
I found a 12V to 36V DC/DC converter on the web. It was rated at 750W peak (about the right target for us), but only 236W continuous. That might make it acceptable to a fuel cell application. The converter was a bit expensive (~$140).
Back to the basic point: What are you trying to achieve with your conversion experiment? Is this just a "can it be done" question for grins and giggles, or is there a system improvement objective? An inverter to AC/DC adapter doesn't magically make energy appear, it simply converts it between one voltage/amperage set of factors to a different voltage/amperage set of factors. The net energy (required to make the motor go) is still the same.