Conservation laws are one of the most important aspects of nature. As such, they have been intensively studied and extensively applied, and are considered to be perfectly well established. We, however, raise fundamental question about the very meaning of conservation laws in quantum mechanics. We argue that, although the standard way in which conservation laws are defined in quantum mechanics is perfectly valid as far as it goes, it misses essential features of nature and has to be revisited and extended.
|Journal||Proceedings of the National Academy of Sciences of the United States of America|
|Publication status||Published - 5 Jan 2021|
Bibliographical noteFunding Information:
ACKNOWLEDGMENTS. Y.A. was supported by Israel Science Foundation Grant 1311/14 and also the Israeli Center of Research Excellence Excellence Center “Circle of Light” and the German–Israeli Project Cooperation. S.P. was supported by the Institute for Quantum Studies at Chapman University; European Research Council Advanced Grant Nonlocality in Space and Time; and the Institute for Theoretical Studies, ETH Zurich. D.R. was supported by John Templeton Foundation Project 43297 and Israel Science Foundation Grant 1190/13. The opinions expressed in this publication are the authors’ and do not necessarily reflect the views of any of the supporting foundations.
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