Hi Ray, I think your interpretation is correct. Complex Systems is a big thing among some physicists and mathmeticians, including Murray Gell-Mann who, along with others, instigated the Santa Fe Institute where these studies go on. Off hand, I believe there may be something to this, after all, so far no one has been able to solve the many-body problem. Perhaps this is somehow all related (?). Interesting. Thanks, Richard + ------------------------------------------------------------------+ On Tue, 2 Sep 2008, Ray F. Cowan wrote: > Hi Everyone, > > Just for fun: I ran across this abstract on the preprint server today (from > http://arxiv.org/abs/0809.0151): > > > More Really is Different > > Authors: Mile Gu, Christian Weedbrook, Alvaro Perales, Michael A. Nielsen > > (Submitted on 31 Aug 2008) > > > > Abstract: In 1972, P.W.Anderson suggested that `More is Different', > > meaning that complex physical systems may exhibit behavior that cannot be > > understood only in terms of the laws governing their microscopic > > constituents. We strengthen this claim by proving that many macroscopic > > observable properties of a simple class of physical systems (the infinite > > periodic Ising lattice) cannot in general be derived from a microscopic > > description. This provides evidence that emergent behavior occurs in such > > systems, and indicates that even if a `theory of everything' governing all > > microscopic interactions were discovered, the understanding of macroscopic > > order is likely to require additional insights. > > If I understand what they say, they are claiming that the usual reductionist > view of physics (take everything apart into its fundamental constituents, > find out how they work, then you know everything there is to know) is > wrong. Do you get the same impression? Or are they saying something less > weird? > > Thanks, > --Ray >