Le 13-avr.-06, à 22:34, Tom Caylor a écrit :

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> > Bruno, > > I have a couple of random thoughts, but I hope they are not too > incoherent (decoherent?) for someone to understand and see if it leads > anywhere. > > First, it seems that the comp distinction between 1st and 3rd person > point-of-view can be expressed roughly as OR vs. AND respectively. In > other words, from the 1st person pov, I am either in one history OR the > other (say Moscow or Washington). From the 3rd person pov, someone is > both in one history AND the other history at the same time (perhaps > like quantum superposition?). You are right. > Now roughly when we OR independent > probabilities we use ADDITION, and when we AND them we use > MULTIPLICATION. Composition of classical probabilities. But the way you compose probability with comp is still an open problem. Given that the quantum probabilities are first person plural (we share histories by entanglement/interactions) and that this can be generalized with comp when we duplicate entire population of individuals (inside each population we get an apparent testable and thus third person notion of indeterminacy) we can expect interference and entanglement already with comp. Why waves? I think half the solution comes from logic, and half comes from numbers. > This rings a bell with Godel's sufficiently rich set > of axioms. It similarly rings a bell with the prime numbers. Could > there be a connection here through this means? I wish! And as I said, an heuristic for this is that the incompleteness phenomena emerges really from the impossible "complete" marriage of addition and multiplication, which I think could be well represented by the primes' distribution. Apparently Riemann Hypothesis is true iff the zeta function can simulate itself (like any UD). I got some argument from logic, but apparently the result is known by number theorist. In that case Zeta could go through the emulation of a universal *quantum dovetailer* through some vertical shifting on a vertical line in the critical strip. Through zeta(s + 1/4 +it) probably, by Voronin's theorem. Everett's Universal function could live there. The zero of zeta would describe the spectra of some "universal observation". At some abstract level, matter would be the exponentiation, and mind would be the logarithm, in some complex algebra. The logarithm simplifies matter, locally. It helps to manage multiplication through addition, and makes the impossible marriage locally more smooth. > > Secondly, conversely to your thoughts, perhaps given the above > connection to help out, could the proof of the Riemann Hypothesis > supply the elimination of white rabbits from comp? And then, well, yes, it could. And from Zeta's behavior, a whole "many world" interpretation of number theory, through a wavy approach to numbers (like Ramanujan's one) would be possible. Primes could even plausibly justified some single universe selection (if they are perverse enough ?!?!) Bruno http://iridia.ulb.ac.be/~marchal/ --~--~---------~--~----~------------~-------~--~----~ 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 -~----------~----~----~----~------~----~------~--~---