Thursday, April 17, 2014

I am not alone

Cornell U
 The renormalization group approach is now being applied to and developed for many new systems. Among classical systems, the onset of chaos in low-dimensional systems and spatially extended dynamical systems as well as hysteresis loops in magnets and crumpled paper are such examples. The renormalization group approach is serving as a key tool for studying quantum phase transitions in strongly interacting systems such as high Tc superconductors as well.
The theoretical study of exotic phases is taken to new horizons at Cornell. Ordering induced by disorder is being investigated through models of frustrated magnets that include effects of thermal fluctuations, quantum fluctuations and vacancies. Quasicrystals- exotic phases with pentagonal or icosahedral order coexisting with long-range, but non-periodic translational order are subjects of active research. Novel approaches and techniques such as large N methods are being applied to new “spin-liquid materials. Topological phases such as fractional quantum Hall states and topological insulators are studied in close connection with rapid experimental developments.

They can also apply their theory to the shoe industry. Renormalization of groups, that is what happens in economics, the basis of Kling's PSST. Its all about counting. Cornell is not alone. All of these research groups have taken the (3/2) integer of the proton and multiplied by another quantization ratio to see what groups can be formed. They find the Shannon independent groups, and away they go. Breakthrough work in the theory of counting things up.
I took this class, Groups, rings and fields:
Math Stack Exchange They should feel similar! In fact, every ring is a group, and every field is a ring. A ring is a group with an additional operation, where the second operation is associative and the distributive properties make the two operations "compatible". A field is a ring such that the second operation also satisfies all the group properties (after throwing out the additive identity); i.e. it has multiplicative inverses, multiplicative identity, and is commutative.

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