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 [email protected]. > To post to this group, send email to [email protected]. > 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 [email protected] 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
