Do they teach the difference between endothermic and exothermic reactions at your number 1 school? I just have a MSME from a lowly State University but I could grasp that concept.
Again your first statement is ludicrous
"The laws of physics show that it will never be possible to get cheap hydrogen and therefore it is a waste of time to even look for a solution.
Tell me the law of physics, and I'll tell you where you you're wrong. There is not cost-benefit analysis in any one of them. "
The hydrogen in water has been oxidized and, catalyst or not, it will require at least the energy that was liberated when the bond was formed to break it. There is no free lunch.