Thanks for the tip. I wasn't aware of this stuff by Zurek. It might be very relevant.
Cheers On Fri, Jul 21, 2017 at 11:07:52AM +1000, Bruce Kellett wrote: > > I have been reading up on Zurek's 'existential interpretation of QM. > This is an interesting attempt to understand unitary QM in an > explicit Everettian 'Relative State' model. In other words, he > claims that one can get a fully unitary model without the necessity > for many worlds -- the observer defines the 'relative state' from > his component of the wave function. > > The many worlds arguments of Deutsch and Wallace, among others, are > very heavy on the need for a 'realist' understanding of QM. Wallace, > in particular, seems to think that realism necessitates many worlds > because he wants a realist interpretation of the wave function > itself, or at least a space-time version of this. Zurek sees realism > in different terms, namely, as the objectivity of many observers > agreeing on what the state of the system is, so he concentrates on > the emergence of classical results from the quantum formalism, with > many copies of quantum outcomes coded in the environment -- 'quantum > Darwinism'. > > The relevance to your concerns is that he has an interesting > derivation of the Born rule within his approach: a derivation that > avoids the circularity inherent in the Deutsch-Wallace derivation, > and the non-uniqueness of the concept of rationality coming from > their decision theoretic approach. Zurek, on the other hand, relies > on his notion of 'envariance', which is a symmetry of entangled > quantum states. Zurek starts with three axioms of quantum theory: > 1. The quantum state is a vector in Hilbert space; > 2. Unitary evolution (Schrödinger equation); > 3. Immediate repetition of a measurement yields the same outcome. > > I think if you get this far, you could perhaps use Zurek's argument > from the symmetries of entanglement to get probabilities and the > Born rule. > > I haven't gone into this in detail as yet, but it seems promising to me. > > Bruce > > > > > > > > -- > 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 https://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/d/optout. -- ---------------------------------------------------------------------------- Dr Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Senior Research Fellow hpco...@hpcoders.com.au Economics, Kingston University http://www.hpcoders.com.au ---------------------------------------------------------------------------- -- 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 https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
