All stated by you as if an expert, to me, a Chartered, patented Systems Engineer of thirty years, working on the systems analysis of this now for the past five years or so. Funny.

If you doubt my Engineering Analyses, which I always refer to, I suggest you go there and highlight exactly what you think is wrong, instead of spouting nonsensical "Carnot principle thermodynamics", as if you know anything about that, or it even being relevant here.

Meantime, where are your references stating PV contains, and has to contain rare elements?