Quantum entanglement is one the most amazing phenomena in quantum mechanics. The research conducted in the last 20 years showed that the structure of quantum entanglement for many body systems can be described using the geometrical quantities.
For discrete systems those are provided by the so-called tensor networks. In the continuous case, as indicated by the famous AdS/CFT correspondence, the entanglement structure can be described in the language of differential geometry. A hypothetical possibility that arises from these considerations is characterization of the gravitational interaction as a result of the quantum entanglement.
Is this the fundamental nature of gravity? We would like to contribute to the answer to this fascinating question within our research as well.