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Recently, studying complexity is a trend in high energy physics. I have read there are two motivations behind these studies. First, Einstein-Rosen bridge behind the horizon keeps evolving even after thermalization. The dual quantity of this growth on QFT on the boundary is conjectured to be complexity. Second, entanglement entropy approach as an emergent of space cannot provide a time part of metric in the bulk. Complexity can do this.

What I am asking is a clarification on these points and even more physical motivations supporting these complexity studies.

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  • $\begingroup$ Could you give a definition of complexity in the sense that you are using it, or provide a link? $\endgroup$
    – doetoe
    Commented Nov 20, 2018 at 13:18
  • $\begingroup$ I assume meaning as per physics.stackexchange.com/questions/437402/… $\endgroup$
    – isometry
    Commented Nov 20, 2018 at 15:07
  • $\begingroup$ @doetoe I don’t know! That’s really ambigiuous $\endgroup$
    – mathvc_
    Commented Nov 20, 2018 at 15:48
  • $\begingroup$ This is not an answer, but you may be interested in talks from the most recent PiTP, particular from Lenny Susskind (youtube.com/watch?v=6OXdhV5BOcY) and Scott Aaronson (youtube.com/watch?v=yCChR2HgCgc) if you haven't seen these already. $\endgroup$
    – d_b
    Commented Nov 20, 2018 at 18:53

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