So, we have to go to the drawing board and learn the basics of electricity. Lets look at phase reference and ask a few questions. The first question is this: Can I take a dometic power supply of 60hz, rectify it with a diode, connect the positive to a capacitor and then reference the negative to a battery? No, the battery is not oscillating at 60hz for a start and even if it was, it has no reference to the domestic supply.
Second question, can I somehow isolate a domestic supply so that the load has no reference back to the power company. The answer is no. Even a 1:1 isolation transformer in audio equipment has reference back to the power company, everything does.
A reference back to the power company means current will flow through the water of a cell no matter what you do even if you use a spark gap.
So what system would allow one plate of a cell to be positive and the other to be negative while having no reference in terms of current back to the power company source? Always remembering of course that current is simply flowing from the hot wire to the neutral of a power source. Well if you have a diode in the circuit, it allows current to flow the very same way. That won't work. Two diodes in opposite directions stops positive charge from reaching a capacitor at all so that won't work. It all boils down to reference back to the power company and hiding that reference. How do you hide it? The only way is kinetic energy. Driving a generator with a motor is the only way you can isolate domestic energy from the cell.
Once you do that, you can build your system around your own source of power and not that of the power company. You can resonate coils, capacitors and resistors in accordance to the source of power with absolutely no reference back to the power company. You can also do it with batteries.
If you can control the impedance of a circuit from source to load, you can also create an high impedance to the flow of current within that circuit because their is a differential. Domestic supplies will not allow this because no matter how many componants you place in the circuitry, the load will ALWAYS reference the very low impedance of the source.
With this in mind, you can build a system using your own source of power with a controlled impedance, within that system you can create higher or lower impedance in reference to the source and you can spend energy using differential current and voltage within it.
The cell, is simply an apparatus that presents an high impedance to the flow of current compared to the controlled source impedance and NOT power company low impedance.