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Is the following assertion sufficiently unique to merit a paper? Every absolute conservation law implies a corresponding form of entanglement, not just spin (angular momentum). Linear momentum conservation would for example entangle originating equipment with wave packets and help determine packet dispersion rates. Mass-energy entanglement would provide a different way to look at wave function "collapse," via nominally instantaneous exclusion of finding the same mass-energy at remote locations. I have no idea what $T_3$ would be. Even some types of approximate laws may have corresponding entanglements.

Dilaton
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Terry Bollinger
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    Look back at the original EPR paper ... that didn't use spin-entanglement, but position and momentum. And down-conversion produces photons that are entangled with respect to frequency=energy. I also don't see why you need a conservation law to produce entanglement. I don't see what you're proposing that is new. – Peter Shor Mar 10 '12 at 19:34
  • Peter, thank you, that is very helpful. I collect old papers and am ashamed to say I do not even have a copy of EPR in hand. Other than arguing that Einstein understood entanglement as far back as 1927 (5th Solvay) -- a history issue, not a research one. My interest thus is no more than an emphasis on diversity that was perhaps recognized better in the past. – Terry Bollinger Mar 11 '12 at 02:28
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    See also https://physics.stackexchange.com/questions/416512/types-of-entanglement-not-due-to-conservation-principles – johnjbarton Feb 11 '23 at 01:26
  • @johnjbarton thanks! – Terry Bollinger Feb 12 '23 at 02:37

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No. The applicability of entanglement to all conserved quantities was covered in no less than the original EPR paper. @PeterShor answered my question, not me, but since he put it into a comment I'm adding this explicit answer to close out my own question. Peter, should you happen by, please feel free to copy your comment into an answer and I'll re-designate that as the real answer to give proper credit.

Terry Bollinger
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