The Contextual Computer
2013 (English)In: Computable Universe: Understanding and Exploring Nature as Computation / [ed] Zenil, H., Singapore: World Scientific Publishing , 2013, 595-604 p.Chapter in book (Refereed)
What kind of computer is the universe? Here we present three results. The first is a consequence of the Kochen-Specker theorem: If the predictions of quantum mechanics are correct, then the universe cannot be a non-contextual computer. We then show that, if we assume that the density of memory is bounded, then the universe cannot be a classical contextual computer. The third result singles out the universe among all possible contextual computers by exploiting a curious connection with graph theory: In the universe, the maximal contextuality of a set of propositions is given by the Lovasz number of the graph representing their mutual exclusiveness.
Place, publisher, year, edition, pages
Singapore: World Scientific Publishing , 2013. 595-604 p.
IdentifiersURN: urn:nbn:se:su:diva-107212ISI: 000337346900033ISBN: 978-981-4374-30-9ISBN: 978-981-4374-29-3OAI: oai:DiVA.org:su-107212DiVA: diva2:743884