On Mon, Mar 02, 2015 at 03:24:35PM +1100, Bruce Kellett wrote: > > In other words, it doesn't appear to avaoid the problem with MWI > pointed out by Dawid and Thebault: > > http://philsci-archive.pitt.edu/9542/1/Decoherence_Archive.pdf > > You effectively assume the Born rule in order to get your ensemble > of observers out of the superposition. >
Thanks for this reference. I await to read in greater detail, however on first glance, it does appear to criticise two components of Deutsch's programme: 1) The decision theory approach to Born's rule 2) The objective notion of decoherence that Deutsch promotes. I have already criticised 2), and indeed my own approach is an antithesis of it (for better or worse, who knows :). And I don't know what role 1) has to play, if any, in the scheme of things. Anyway, my assumptions are hopefully quite clear - the PROJECTION postulate applied to an everything ensemble theory, a TIME dimension along which observations take place (the results of the projections) and Kolmogorov's axioms. From that, one can derive a) the Hilbert space structure of observer states, b) Born's rule and c) Unitarity of state evolution in between measurements (ie projections). Obviously, this is not you usual MWI, which takes a) and c) as axioms. I'm not sure what you're thinking is being "snuck in" - possibly it is the PROJECTION postulate, which is a statement about what we think measurement (or observation) actually is. But the PROJECTION postulate is _not_ Born's rule. You have to add Kolmogorov's axioms to get out the specific form of the rule. -- ---------------------------------------------------------------------------- Prof Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Professor of Mathematics hpco...@hpcoders.com.au University of New South Wales http://www.hpcoders.com.au Latest project: The Amoeba's Secret (http://www.hpcoders.com.au/AmoebasSecret.html) ---------------------------------------------------------------------------- -- 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 everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
