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

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2009},
            month = {sep},
            note = {PIRSA:09090005 see, \url{https://scivideos.org/pirsa/09090005}}
          }