discovered the link between the golden section and symmetry.
I write this post to inform readers on a discovery that links the golden mean symmetry. The title of the paper is published: Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E8 Symmetry . Below is the summary:
E8, the Universe and Everything
2010 February 8
tags: Lie algebra , geometry , mathematics , string theory
A mathematical structure related to string theory has been observed for the first time in reality
NEWS - If the "Hitchhikers Guide to the Galaxy" Douglas Adams instead, a famous science fiction writer, had written an expert on physical strings, the "fundamental question about life, the Universe and Everything," Deep Thought, the second largest computer Universe of Time and Space, instead of "42" could respond " E8. E8, (full exeptional Lie Group E8) is a symmetric complex that until now was only a theoretical construct put forward by mathematicians and which some say has a role in string theory, a possible "theory of everything". Today a group of British and German physicists claims to have observed the structure for the first time in realtà.Gli scientists have cooled a crystal of cobalt niobium and up to temperatures near absolute zero and as stated in the article published in Science, when they applied a magnetic field increases as the crystal, the electronic configuration of the structures appeared spontaneous which recalls the E8. This property of symmetry of the 70s has been made in connection with string theory, one of the candidates to "theory of everything", that is a theory that links together all known physical phenomena in a unique and elegant mathematical body . In 2007, Garreth Lisi, a freelance physicist, has even proposed a new theory of everything, fact-based sull'E8. All that remains to be tested, but Coldea Radu and colleagues are still thrilled to have found the first indications of the presence of E8 in nature. Quite simply for symmetry groups are all possibilities that a geometric object has to rotate without changing appearance. A square for example can rotate clockwise and counterclockwise 90 degrees and always remain identical to itself. All the rotations that the square can be run in this way are a group of symmetry. The circle can also do more, in that it can rotate to any angle and always remain the same. In this case the symmetry group is called continuous. Said in an informal manner the symmetry groups of Lie (concept discovered in 1887 by the Norwegian mathematician Sophus Lie) in E8 is part, are groups continuous symmetry, which can look like a cerchio.Coldea and colleagues, using the magnetic field to the crystal have changed the value of spin of electrons in the material. The spin is a fundamental property of elementary particles: the spin of an electron can be in one of two possible states. Scientists above a certain value of magnetic field then (5.5 Tesla), corresponding to what is called quantum critical point, expect to see a random arrangement of electron spins in the crystal and instead what they have seen the growth of the field is state that the spins are distributed according to certain patterns regolari.Radu believes that this discovery has important implications in physics quantum. "These results suggest that hidden symmetries similar to that govern the physics of other materials near the point of quantum critical, in which electrons are organized in quantum rules for strong interactions." Basically, the researchers analyzed a magnetic material - niobate Cobalt - composed of magnetic atoms linked together to form chains of the size of an atom. According to the researchers, niobium, cobalt is useful if you want to describe the ferromagnetism of the solid matter on scales infinitely. The research team argues that the chain magnetic changes into a new state called "quantum critical" when you apply a magnetic field at right angles to spin aligned. The quantum critical, experts say, can be considered as the quantum version of fractal models. "The system reaches an indeterminate quantum - that is the paradox of the cat theorized by Schrodinger [ie, the simultaneous presence of two conditions are diametrically opposed]," says Professor Alan Tennant Helmholtz-Zentrum Berlin für Materialien und Energie (HZB), in Germany, co-author of the study. "That's what we did during our experiments with cobalt niobate. We have calibrated the system to get it to the quantum critical state."
The researchers found that when the system calibration and the introduction of an artificial quantum indeterminacy in excess of the atomic chain behaved like a guitar string at the nanoscale. We used a probe particular - the "neutron sink" - which made it possible to view the actual vibration, system-wide, were produced at the atomic scale. "This tension derives from the interaction between the spins. This tension causes the magnetic resonance," says the study's lead author, Dr. Radu Coldea University of Oxford, UK. "For these interactions we have found a number (ie a scale) of resonant note: the first two notes are acknowledged to have, between them, a perfect relationship. Their frequencies (Ie, peak) are in the order of 1.618 ..., that is, in fact, the famous golden ratio in art and architecture. "The science says that, in art and mathematics, two quantities are in the golden section When the ratio between the total amount and the larger amount is equal to the ratio between the amount higher and lower. Dr. Coldea stresses that this is not a coincidence. "It reflects a beautiful property of the quantum system, which is a hidden symmetry. And it is a symmetry special, what mathematicians call E8, for the first time observed in the material. "
Dear readers, for several years, in my articles, I am of the connections between certain areas of string theory and number theory, mainly the p-adic numbers, Fibonacci numbers and the golden section. Reading the article, I infer that this may be an important confirmation of the many connections that I found. The article in addition to being fascinating, in my opinion should be investigated from the point of view of connections with string theory.
Here are the links of my work where suddenly, in a variety of topics, connections between strings and golden section
http://150.146.3.132/866/01/NardErPa1.pdf
http:/ / 150.146.3.132/647/01/NardTurccp.pdf
http://150.146.3.132/968/01/NarTuCo1.pdf
http://150.146.3.132/1032/01/NardMarc4.pdf
Here is the link to go to work Coldea and his collaborators
http://www.physics.ox.ac.uk/quantum-magnetism/selected_publications.htm
http://www.sciencemag.org/cgi/content/full/327/ 5962/177? ijkey = 0MPWaFy0y5aMs KeyType & ref = & siteid = ski
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