"In computer simulations, Tour said his engine achieves energy efficiencies as high as 62 percent – "that's a quantum leap improvement"
Are those ideal-cycle indicated efficiency values or brake? My bet is that it's the former. Big deal. Conventional engines also do that and more. Nothing ground-breaking there. I'd like to see a loss-split diagram, as well as P-V and T-S diagrams of the proposed cycle.
– while cutting the emission of pollutants like carbon dioxide by half and nitric oxide by 80 percent."
Elsewhere it is claimed that the layout permits higher working temperatures in the hot cylinder. This tends to have the effect of INCREASING NOx emissions.
Also, the realisation of the connection between the cold and hot cylinder is not at all detailed, just an arrow pointing to an open channel. Any solution (poppet valves, etc.) will invariably result in flow losses.
Lastly, mention is made that "The hot cylinder is larger than the cool one to harness more power during combustion." Bull malarkey. Either this is faulty reporting or someone who doesn't have a knowledge in thermodynamics. The best you can do is to expand the burned charge out to atmospheric pressure. Here, it's the volumetric expansion ratio, not swept volume, that is of importance.
I will only add that there are certainly some advantages to such an engine. One is that realisation of the Miller/Atkinson cycle with a larger expansion ratio than compression, plus full expansion, is possible. With all the extra hardware though, the BMEP will not be remarkable, and FMEP and PMEP will be bad.