Nonetheless, all this seems to be truer of all electrons than of gravity and the speed of light. That is, it seems easier (both scientifically and metaphysically) to accept a different speed of light, or gravity with a different strength and value, than it is to accept electrons with different masses and forces.
As for the possibility of alternative mathematics.
Some say that even the question can't be constructed without begging the question. (This, of course, doesn't rule out rival mathematical systems, incompleteness, inconsistency, etc.)
As for logic.
If we must start with the basic building blocks of logic (first forcefully stated as long ago as Aristotle), then the very idea of truly independent logics is rejected by some/many logicians and philosophers - even by by some of those whom accept paraconsistent and dialethic logics. Or as the logician and philosopher Dale Jacquette puts it:
*) See my 'Bogus Philosophical Questions: G.P. Baker (1)'
**) See my 'Bogus Philosophical Questions: Logic and Metaphysics (3)'.