I could try to rescue the idea by throwing in units, the way multiplying distance units by time units gives you speed units... but I'd just be trying to technobabble my way out of the corner.

I think the most that I can try to rescue from this failed hunch is that some offbeat and unexpected part of mathematics might be able to be used to generate useful, non-obvious conclusions for utilitarian-style reasoning, in parallel with math based on gambling turning out to be useful for measuring confidence-strengths more generally. Anybody have any suggestions for such a subfield which won't make any actual mathematicians wince, should they read my story?