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Einstein's equations from qubits

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I will outline a path by which a semi-classical geometry obeying Einstein's equations emerges holographically from elementary quantum mechanical objects undergoing local dynamics. The key idea is that entanglement between the quantum degrees of freedom leads to the emergence of a dynamical geometry, that entanglement is the fabric of spacetime. Furthermore, although important technical challenges remain, I will argue that the conceptual ideas are in place. The core of the talk will be two new results that are crucial to this program, one establishing a new representation of entanglement in RG tensor networks and the other showing that the equivalence principle is encoded in the universality of entanglement.