“This is the paradox. The photon emerged from the box
with energy much higher than it had inside, but the energy
did not come from the opener, the only other system
in the problem. Energy seems not to be conserved.”
We raise fundamental questions about the very meaning of conservation laws in quantum mechanics and we argue that the standard way of defining conservation laws, while perfectly valid as far as it goes, misses essential features of nature and has to be revisited and extended.