Bumble bees can fly even if maths is against them!

Flight of the Bumblebee | Numbers | Science News

So, no one "proved" that a bumblebee can't fly. What was shown was that a certain simple mathematical model wasn't adequate or appropriate for describing the flight of a bumblebee.

Insect flight and wing movements can be quite complicated. Wings aren't rigid. They bend and twist. Stroke angles change. New, improved models take that into account.

If you want a better example, steam engines worked quite well and were widespread for decades before thermodynamics had come to the point of being able to model them satisfactory.

But for that to be convincing, it needs to demonstrably solve an actual problem. For example by following Zwackus' suggestion:

Zwackus:

Lay it out for us.  Illustrate for us, through a simple transactional example, what the problem is with our current system.  Show us the negative outcome.  Then re-form that example using your own system, and point out how it is clearly better.

If you do that, then you don't need algebra, or forays into quantum mechanics to show the usefulness of your system. If it is useful, it can then be modeled, but if you can't show how it is useful, then the model will not save it.

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