Look up the literature on catastrophe theory. There were many examples of just these phenomena cooked up (particularly by Zimmerman IIRC) some good, many not so good. I'm sure you should be able to find something appropriate - maybe the appearance of Benard cells for instance.
Cheers On Sat, Mar 24, 2012 at 10:05:00PM +0100, Evgenii Rudnyi wrote: > Hi Stephen, > > I am not sure if I completely understand you. My question was rather > what happens in Nature if we assume that its mathematical model > includes bifurcations and/or symmetry breaking. > > Do you know a simple mathematical model with bifurcations and/or > symmetry breaking? It might be good to consider this on a simple > example. > > Say, I do not understand how do you apply statistics in this case. > Either it is unclear to me how infinite computational power will > help. > > Evgenii > > > On 23.03.2012 22:27 Stephen P. King said the following: > >On 3/23/2012 3:08 PM, Evgenii Rudnyi wrote: > >>In physics there are bifurcations and symmetry breaking. What happens > >>then if I solve some transient problem for a system where a > >>bifurcation or symmetry breaking happens. How the choice will be made? > >> > >>Evgenii > >> > >Hi! > > > >We would use statistics to model such a scenario or, if able to access > >infinite computational power, we would compute faithful simulations of > >the solutions and see which best matches the environmental requirements > >of the universes from which those bifurcations or any other form of > >symmetry breaking occurs. Given infinite computational powers there is > >no such thing as randomness in a 3-p sense. This is known as > >"omniscience". We have seen it before... > > > >One thing that most models of statistic fail to sample is the > >environment in which a stochastic event occurs, thus they integrate over > >them and smears out the very facts that might otherwise inform us of > >exactly how and why a "choice was made". > > > >Onward! > > > > -- > 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 > everything-list+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/everything-list?hl=en. -- ---------------------------------------------------------------------------- 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 ---------------------------------------------------------------------------- -- 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 everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.
