BM: (1) The universe is more complex than current physics makes it out and may not be computable, and in comparison, (2) Our ability to comprehend things is quite limited. But these two together imply that is quite possible that we live in a simulation.
In a n-dimensional Hilbert space, one needs n^2 -1 real parameters to specify the information content, that is to say a density matrix, hermitean, with tr(rho)=1. Since human measurements, within a specific basis set, give n-1 independent probabilities, one needs n+1 unbiased basis sets to provide the required number n^2 - 1. (Note that n+1 unbiased basis sets exist if n is _prime_, as far as I remember). Are the great simulators number theorists? :-) --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
