While it is true that energy is lost to increase/maintian entropy in a Carnot cycle there is no energy "wasted" it is the theoretical limit dictated by thermodynamics. So I have a problem with them saying that they can have better efficiency than the Carnot cycle. Net entropy would have to decrease in such a case which would violate second law.
Entropy;
1. You cannot win.
2. You cannot brake even.
3. You cannot leave the game.
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