On Monday, December 24, 2018 at 9:29:16 AM UTC-6, Mason Green wrote: > > David Deutsch suggested something like this I (that individual universes > are discrete, but the multiverse as a whole is continuous). > > “within each universe all observable quantities are discrete, but the > multiverse as a whole is a continuum. When the equations of quantum theory > describe a continuous but not-directly-observable transition between two > values of a discrete quantity, what they are telling us is that the > transition does not take place entirely within one universe. So perhaps the > price of continuous motion is not an infinity of consecutive actions, but > an infinity of concurrent actions taking place across the multiverse.” > January, 2001 The Discrete and the Continuous
So this (multiverse substrate) allows the universe to be a "continuous computer"? *Finding the best model for continuous computation* http://www.math.harvard.edu/theses/senior/resnick/resnick.pdf Abstract. * While the theory of computability over countable sets is well defined and flexible, the definition of computability over continuous sets (e.g. the real numbers), without the fortification provided by the Church-Turing Thesis, is much more contentious. Since Turing’s introduction of a universal device for computation over countable sets (the “universal Turing Machine”), several demonstrably non-equivalent formalizations of the intuitive notion of continuous (alternately: analog) computation, and more specifically, computation over the real numbers, have been proposed. None of these is yet accepted by the majority of mathematicians, and, as a result, the contemporary landscape of research into continuous computation is factional. I will present and compare several of dominant theories of continuous computation, including techniques from recursive analysis and the Blum-Smale-Shub model.* - pt -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to email@example.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.