[Question] Can you prove that 0 = 1?

Of course, 0 is not equal to 1. But certain interpretations of quantum mechanics imply that a thing can be one way and be the opposite way at the same time. Any mathematical proof rests on axioms. What I’m looking for is a proof that 0 = 1 which rests on axioms that are being actively debated by mathematicians. (Then, I’ll argue that the truth of 0 = 1 is in a quantum superposition with the debates being held by mathematicians.) Feel free to create your own proof, or to direct me to existing works. I may quote your answers in a soon-to-be-published post on this topic.

This doesn’t feel frivolous to me; I think that 0 = 1 hints towards a unifying theory for epistemology, math, consciousness, states of enlightenment, and physics. It also has implications for AI. If anyone has meta-advice for me, I’m open to it. I think the benefits balance the negatives of sharing these ideas, especially for ensuring that they’re debated more widely and openly. But I could be wrong. (There are keywords I’m not using to be careful.)