Johnson Thermoelectric Energy Converter

This feels like it needs a picture.

Any system that only works with Hydrogen is automatically hand-wavy because working with hydrogen is a giant pain in the ass.

But it sounds like instead of just a regular compressor cycle, the hydrogen gets forced through a fuel cell kind of membrane and split into protons and electrons? I think my chemistry and physics classes petered out somewhere around there. Higher potential energy in the electrons on the input side than on the output end?