Ah so regurgitated information rather than core understanding is what you rely on?
Often I see some of your technical replies, I then put that into google and the first search is obviously where you selected text and used ctrl C...
It is from my understanding of the concept and also from working through the numbers for it ...
Im not sure how you gear down a stage of your combustion process without reducing engine output...
And then the scud or Atkinson make more sense with no where near the cost issue. When you get into the real world you will realise cost results in the biggest compromises of anything you can throw at mass produced cars.
You are not gearing down the output of the IC engine, you are gearing the output of the "turbine" engine, which is connected to the crank of the IC engine.
And you are only gearing this if the CVT cannot take the torque, which I think it may be able to as you are not going to be producing that much power or torque from the turbine as it is working on exhaust gasses just like a normal turbo would.
I freely admit that costs are the thing that have kept this from mass production, but we are now seeing much cheaper ways to manufacture turbine blades that would bring costs down.
The setup is basically that you have a normal IC engine, and you connect a turbine to the exhaust (just like you would with a turbo), but you do not have a compressor, instead you have the drive from the turbine be directly connected to the crank of the engine via a CVT transmission.
This way the compression stroke of the engine is actually going to be carried out by power that comes from this turbine rather than robbing power from the combustion of the actual ICE, thus you are using the "wasted" energy in the exhaust to do the compression.
You can then start coupling other interesting ideas to this, such as turbos that over-compress the air and then you expand it to make the air much colder.
There are other ways to do things too, the scope for interesting ideas is pretty immense ... and many of these were tested in the past in rally, F1, etc ... unfortunately FIA seem to love banning clever ideas that may eventually have useful real world applications