Quantum gravity entanglement graphs as tensor networks: holographic properties and horizon-like regions from volume entanglement

par Eugenia Colafranceschi (UC Santa Barbara)

mercredi 7 déc. 2022, 14:00 → 15:00 Europe/Paris

https://greenlight.virtualdata.cloud.math.cnrs.fr/b/fab-49u-gkt

In recent years, the import of quantum information techniques to quantum gravity has opened up new perspectives in the study of the microscopic structure of spacetime. I will present recent results in this direction, based on the possibility to regard (superposition of) spin networks - graphs decorated by volume and area quantum numbers, modelling spatial geometries in several approaches to quantum gravity - as graphs built up from geometric entanglement, and put them in correspondence with tensor networks. In particular, I will show that spin network states can be interpreted as maps from the bulk to the boundary of the dual spatial geometry, whose holographic behaviour increases with the inhomogeneity of the geometric data. I will also illustrate how exceeding a certain volume-entanglement threshold leads to the emergence of a horizon-like region, revealing intriguing perspectives for quantum cosmology. Based on joint work with Daniele Oriti, Goffredo Chirco and Simon Langenscheidt, available at arXiv:2012.12622, arXiv:2105.06454, arXiv:2110.15166 and arXiv:2207.07625.