Physics is physics, and math is math. Those are usually not open to debate.
Sorry, but you couldn’t be more wrong. Science is always open to debate. That’s why most of what we know about physics today is called scientific theories, not necessarily laws. Einstein questioned Newton’s theory of gravity and found holes in it. Oppenheimer asked why the atoms couldn’t be split and did it. Science is always open for discussion. We are still not sure what light is: particles of energy or electromagnetic waves? It can be argued both ways. I wholeheartedly agree with your last paragraph though.