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Aren’t there formulations which do away with space-time by treating it as an emergent feature?


Yep, you're probably thinking of https://en.wikipedia.org/wiki/Entropic_gravity and/or https://en.wikipedia.org/wiki/ER_%3D_EPR, but there are other similar proposals as well.

There's enough interesting connections between entanglement and spacetime that it's an interesting area to prod for sure.




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