Spacetime can be simultaneously discrete and continuous, in the same way that information can.

@misc{ pirsa_PIRSA:09090005,
  doi = {10.48660/09090005},
  url = {https://pirsa.org/09090005},
  author = {Kempf, Achim},
  keywords = {Quantum Information},
  language = {en},
  title = {Spacetime can be simultaneously discrete and continuous, in the same way that information can.},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {sep},
  note = {PIRSA:09090005 see, \url{https://pirsa.org}}
}