Thursday, September 07, 2006

Quantum Hall Effect

This article below was set in motion by Stefan's article,"Pencils, Black Holes, and the Klein Paradox", at Backreaction. B will have to offer her perspective on the blackhole analogy. I offer mine.:)

The fractional quantum Hall effect continues to be influential in theories about topological order.

It is interesting to see the interconnecting links of recent between the different blogs on the internet in terms of what information is being relayed back and forth without some understading of what is going on?

Number theory is the type of math that describes the swirl in the head of a sunflower and the curve of a chambered nautilus. Bhargava says it's also hidden in the rhythms of classical Indian music, which is both mathematical and improvisational. He sees close links between his two loves -- both create beauty and elegance by weaving together seemingly unconnected ideas.

As part of a Morning Edition series exploring the intersection of art and science, NPR's Richard Harris reports on the beauty of mathematics, its ties to art -- and the man who straddles both worlds.

So you learn to see relations where one might not of have before. "Computerization techniques" that would help us understand new ways in which transmit information?

An Ultimate Theory in Physics?

Shahn Majid's research explores the world of quantum geometry, on the frontier between pure mathematics and the foundations of theoretical physics. He uses mathematical structures from algebra and category theory to develop ideas concerning the structure of space and time. His research philosophy drives a search for the right mathematical language for a unified expression for the ideas of quantum physics, founded on the notion of non-commutative geometry

While above I may have introduced the particular interest of Majid's in terms of beats in nature and number counting, it is with some understanding that "poetical desire" can have come "other issues" which rise up from schemas of nature?

The subject in its modern form has also been connected with developments in several different fields of both pure mathematics and mathematical physics. In mathematics these include fruitful interactions with analysis, number theory, category theory and representation theory. In mathematical physics, developments include the quantum Hall effect, applications to the standard model in particle physics and to renormalization in quantum field theory, models of spacetimes with noncommuting coordinates. Noncommutative geometry also appears naturally in string/M-theory. The programme will be devoted to bringing together these different streams and instances of noncommutative geometry, as well as identifying new emerging directions

So I mean if you are into the Riemann Hypothesis, you might wonder how such patterns sought by Ulam would have been of interest to people like Robert Laughlin and his ideas on "emergence." What "number systems" would arise from the first principle?

In a Pascalian sense" you might understand this now, as isssuing from some inherent "ordered" chaos?

Ulam's interest was on a high energy event( we know what that was, don't we?)? So what order can come out of such chaos?

This is the essence of the problems with transmitting information while paying witness to the origins of the math brought forward to the mind's eye from an understanding of the "birthing of new universes?"


I never saw his "site topic Monday, September 04, 2006 until yesterday "after" constructing my post.

Links to "previous posts linked in quantum hall effect" should give some idea about previous knowledge regardless of PP Cook's posting. Just wanted to set that straight.


P. P. Cooks, "To Commute or not to Commute..."

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