Dirac's equation suggests a proof that 0 equals 1 by manipulating the properties of self-adjoint operators in quantum mechanics. The discussion highlights the computation of matrix elements involving canonically conjugate observables A and B, leading to the paradoxical conclusion. Participants debate the validity of the proof, emphasizing the importance of operator domains and the implications of non-commuting operators. The conversation also touches on the physical interpretations and applications of these mathematical concepts, particularly in quantum mechanics. Ultimately, the thread reveals the complexity and nuances of quantum operator theory while questioning the foundational assumptions behind the proof.
At any rate I have been told any attempt to derive physical (i.e. material) consequences from the theorem aroused his ire.