In the discussion of understanding “ER=EPR” as being about the RT-formula, I have added this remark:

]]>A precursor to this picture is the “bit-thread”-interpretation of entanglement entropy due to Freedman & Headrick 16 (notice the use of “EPR pair” in their Figure 4.)

I have further expanded (here) on the relation to the Ryu-Takayanagi formula, pointing out how the Majorana dimer code model of JGPE 19 gives a yet more concrete theorem resembling the “ER = EPR” slogan: They show that the entanglement entropy in a holographic tensor network model is encoded entirely by the underlying chord diagram, where each chord reflects two things at once:

(ER) an entangled pair of qbits at their endpoints on the boundary

(EPR) a geodesic through the hyperbolic bulk.

I have added the following commentary. What do you think:

This idea may usefully be compared – and maybe is in parts a way of turning into prose – the *Ryu-Takayanagi formula* (which has a more well-defined content is a *theorem* in a class of toy examples), which equates

**(quantum entanglement:)**the entanglement entropy of a quantum field theory in a subspace of an asymptotic boundary

with

**(global spacetime structure:)**the minimal area of a cobounding hypersurface in an ambient curved bulk spacetime.

For more on this see at *holographic entanglement entropy*.

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