ENERGY AMPLIFICATION

[Dave45]

Can someone please tell me, just in one simple paragraph, what this circuit is actually supposed to _do_?

Comon TK cant you see it, its a pump.
Pumps pos on one side and neg on the other, its just a souped up DC to DC converter.

[MileHigh]

Dave:

You need to make a timing diagram to put substance behind your statements about the circuit.  You balk when I mention this.

If you are building it then you can use your scope to make the timing diagram, which is perfectly fine.

MileHigh

[Dave45]

Lets look at it in stages
First stage is just a buck converter it loads up the neg side of C2,
Stage 2 is a boost converter but it releases the neg side of C2 and we get a capacitive discharge through L2,
The bemf from L2 is pos and runs through D2 into C5 and the load.

Stage three is a boost converter that loads up the pos side of C4
Stage 4 is a boost converter it releases the pos side of C4 and we get a capacitive discharge through L4,
The bemf from L4 is neg and runs through D4 into C5 and the load.

Its just a pump
But incorporates a capacitive discharge on both sides.

[Dave45]

Running the gates with arduino or the like would be the way to go, stage one could be ran at twice or even triple the frequency of stage two this would increase the capacitive discharge through L2

The same for stages three and four.

Stages one and two are coupled to work alternately and the same for three and four, but stages one and two are not coupled to three and four and can work independently.   

[forest]

Looks like PODMOD device