But what does the mathematics say? What does Schrödinger’s equation say about Schrödinger’s cat? Well, the wave function of the lump of metal is half “radiation was emitted” and half “no radiation was emitted.” That interacts with the wave function of the detector, which means they get entangled. So now instead of two wave functions, one for the lump of metal and one for the detector, you have one for the both of them, and now that’s in a weird state: half “radiation was emitted and the detector detected it” and half “no radiation was emitted and the detector didn’t see anything.”