Entanglement Entropy in Spacetime and a Possible Signature of Discreteness

May 04, 2026 PIRSA:26050053 Scientific Series Other

Jones, J. (2026). Entanglement Entropy in Spacetime and a Possible Signature of Discreteness. Perimeter Institute. https://pirsa.org/26050053

Jones, Joshua. Entanglement Entropy in Spacetime and a Possible Signature of Discreteness. Perimeter Institute, May. 04, 2026, https://pirsa.org/26050053

@misc{ pirsa_PIRSA:26050053,
  doi = {10.48660/26050053},
  url = {https://pirsa.org/26050053},
  author = {Jones, Joshua},
  keywords = {Other},
  language = {en},
  title = {Entanglement Entropy in Spacetime and a Possible Signature of Discreteness},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {may},
  note = {PIRSA:26050053 see, \url{https://pirsa.org}}
}

Abstract

The regularisation of entanglement entropy is integral to the possibility of it sourcing the Bekenstein-Hawking entropy. This regularisation ought to come from quantum gravity, which if covariant, can induce a regularisation scheme inapplicable directly on hypersurfaces, but instead suited to application over spacetime volumes. As such, the calculation of entanglement entropy should be similarly situated over spacetime volumes. I will explain how this can be done via a spectral equation using spacetime correlators, and briefly show an example calculation in causal set theory, a discrete theory of quantum gravity. There, a modified entanglement entropy scaling was obtained, due to the discreteness.