This is an interesting article due to the historical connections it makes. I mention the paper in question on p. 120 of my book about Noether’s Theorem (<a href="https://lee-phillips.org/noether" rel="nofollow">https://lee-phillips.org/noether</a>) and quote Heisenberg on why violation of energy conservation, and therefore the paper, was unacceptable (something that the article doesn’t really discuss—after all, other conservation laws were abandoned or modified as needed): it’s because Noether’s Theorem shows that energy conservation is equivalent to invariance with regard to time translation, something that no one would be willing to give up. This means that energy must be conserved in every interaction, not just statistically.