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Luke_A_Somers comments on Debugging the Quantum Physics Sequence - Less Wrong Discussion
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Entanglement is over mutually-timelike regions, not merely simultaneous moments, so your diagrams are misleading. Try redrawing your ellipses of entanglement so they're legal spacetime entities. If you redraw ALL of the entanglement this way, then it will transform just fine.
Entangled regions should be spacelike-separated from each other; do you mean that each individual region will have some internal timelike extension? Is this about the smearing of field operators to create normalizable states?
Maybe we should have this discussion privately. I'm quite keen to discuss technicalities but I don't want to spam the site with it.
I misused a phrasing there - mutually timelike regions can only be 1 dimensional or less, just as mutually spacelike regions can only be 3 or fewer dimensional.
Entanglement is between points that are spacelike separated, but the boundaries of this entanglement - the processes that create or destroy it - are purely causal and local.
We can continue in PM. I just wanted to clear that up, since I ended on something that was flat-out wrong.