Entanglement and conservation

Question

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.

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Comments

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.

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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.

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