Entanglement, Entropy and Energy

[kirk1729]

I suppose the meta-question is: Where do I read about this? Engineering major, not physics. Worked through Penrose's book until the tensor calculus on manifolds chapter and then sank without a trace. The popularized descriptions of quantum physics are hopelessly incomplete and as Feynman pointed out, usually misleading.

All electrons are identical. Imagine universe S with two electrons. Imagine universe E with two entangled electrons. The universes are different as we can do a physics experiment to tell the difference by detecting the entangled correlation. In S we have two things, the electrons. In E we have an electron just like all electrons, another identical electron, and a third thing, the entanglement. The entanglement must be a thing that exists since the universes are different and it can't be part of either or both of the electrons since all electrons are identical.

Since it is a lot easier to break an entanglement than it is to create or maintain it, it seems that S must have higher entropy than E. The entanglement is real, it exists, it can be detected by a physics experiment. Since it exists it seems that it must have associated information and probably associated mass/energy unless it is some kind of weird mechanical attachment like a common half string end point on the holographic surface.

Does entanglement have entropy? information? mass/energy? Is there a reading suggestion for this that is a bit easier than The Road to Reality? Or is this line of reasoning "not even wrong"?

 

[Khashishi]

Entanglement is a constraint on the possible combinations of quantum numbers in the system. This is a decrease in the total number of possible combinations of quantum numbers, so it decreases the entropy.