My impression is that the theory is different: that the H2g and O2g are not acting as additional fuel, but as a fuel additive to improve engine efficiency.
How?
Analogy: consider the vehicle is diverting energy to operate the air mix. The small amount of energy diverted to the air intake's logic circuit pays off in terms of fuel efficiency.
You made a mess out of cycle efficiency and burn ratios.
You are not getting more then 0,01% out of a better burn of fuel. It doesn’t really matter if the fuel/air mixture is done in the explosion chamber or in the intake (definitively you don’t want do it in the air intake for very good reasons) it is all going to get burned in the same place.
The burning ration is controlled you a good proportion of combustible vs carburant (I’m not sure this is the exact English word, it’s the class of combustion product the oxygen is in). In a car you have to take a pay for your fuel, the oxygen you collect it in the air for free; so adding even more fuel you are putting less oxygen, and consequentially you are literally throwing out fuel trough your exhaust.
I suggested this earlier, based on my above interpretation of the claim. The unique claim is that adding H2g + O2g enhances engine performance, which is independent of any claims about the source, and can be tested very easily and relatively cheaply, in controlled conditions that would convince any skeptic and start the path to patents and wealth.
Engine performance is improved by minimizing the loss of heat (noise included) while keeping the car working, now (here is the interesting part) more efficiency equals less power. Now to go around this you need an impressing amount of work, and involves changing the working condition and consequentially a new design of a stronger (and more expensive) engine, and even that can only go up to a certain point because you can never have more efficiency then a Carnot engine (hypothetical technologically perfect engine) and even that is out of technological reach.
Right, but to a credophile who thinks his buddies have accidentally discovered something new, hope springs eternal that there's some unknown factor. History is filled with "it doesn't work in theory," but the theory needs to be updated because of the facts on the ground are that it works.
Problem is, there is no room for a unknown factor, the devices that they are using have been studied to death, this subject has been studied to death. If we are wrong on this, then we are wrong on the planes ability to fly, we are wrong on the ability of planets to move around the sun, we are wrong on almost every single aspect of our technology, and guess what? Nothing so far has let us down on such aspect.
Oh, there's no doubt in my mind that it's fraud. But since it's obvious nobody cares what skeptics think, that's not going to actually have an effect on how people waste their hard-earned cash.
What I'm trying to do is design a definitive test to falsify the hypothesis that has such popular face validity. We can only do that by dissecting the claim and approaching it as it is presented.
Same with the JREF MDC: let them spell out the claim, then test it. Don't armchair dismiss - that just makes them think we are cynics or lazy or blindly authoritarian. Plus: designing a test can help a lost credophile understand that skeptics are truly persuaded by evidence more than opinion, even our own.
Here is the general misconception of the general public about science, a claim can be dismiss if it is internal inconsistent or doesn’t have any theoretical construct. After you have a theoretical construct, you proceed to the lab and test if you theoretical construct does or does not hold whit experiment. If you add the fact that it is inconsistent whit already established knowledge, your word isn’t going to hold it.
We do not have to deal whit experiments dismissing some one else’s claims if they don’t have any theoretical background.
Hypothesis and explanations are experimented, not facts or claims of facts.