> unitary also implies energy conservation That’s not correct. It only implies that the Hamiltonian is Hermitian, and thus that any measured value for energy i

> unitary also implies energy conservation That’s not correct. It only implies that the Hamiltonian is Hermitian, and thus that any measured value for energy is a real number. As the article states, unitarity only implies conservation of information. Noether’s theorem states that the time-translational invariance of the laws of physics implies the conservation of energy. Interestingly, this does not hold in general relativity.