Thursday, March 10, 2016

Consider the spin model

Here scientists show that the spin model is a universal attribute of computation, not confined to physics.  We should be able to generalize and show that the universal queueing model over quantum systems  requires fermion statistics to match boson statistics, and spin is just one representation of that fact.   The proof should go through the equipartition theory and set up the dynamics for a quotient group and Ito's calculus.  This is the situation of adapted statistics,elasticity is set to make the quotient ring work, a requirement of computation at any level.  It should all boil down to stable queues.

I could be wrong, but  this article is certainly news worthy and great work.
Science Daily: This is the first time such simple 'universal models' have been found to exist, showing that something analogous occurs in physics. The study, published this week Science, builds on pioneering work from the '80s which is at the interface between theoretical computer science and physics. Extremely simple computers are universal: they can in principle compute anything that can be computed.
Spin systems are a very simplified, stripped-down model of the interactions between particles making up a material. In the simplest of these models, each particle or "spin" can only be in one of two possible states: "up" or "down." The interactions between neighbouring particles try to align them either in the same or in the opposite direction, which is known as the Ising model, after the physicist Ernst Ising who studied it in his 1924 PhD thesis.
"Models in different dimensions or with different kinds of symmetries show very different physical behaviour. Our study shows that if one considers models with irregular coupling strengths, all these differences disappear as they are all equivalent to universal models," says Dr Gemma De las Cuevas from the MPQ, Munich.
"These results will perhaps not surprise computer scientists, who are used to the idea that universal computers can simulate anything, even other computers," said co-author Dr Toby Cubitt from UCL Computer Science. "But the fact that a similar phenomenon occurs in physics is much more surprising, and this insight has not been applied in this way before. We are realising as a community that ideas from theoretical computer science can give us deep insights into physics, backed up by rigorous mathematical proofs. It's a very exciting time to be working at the interface between these fields!"

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