Saturday, October 31, 2009
Hiding the truth
In their wonderful (and provocative) PNAS article, The Theory of Everything, Laughlin and Pines introduced the term protectorate to describe the insensitivity of higher level laws (organising principles) to the details of lower level laws. For example, the laws of thermodynamics are the same regardless of whether the microscopic dynamics of the constituent particles is quantum or classical. Universality in the theory of continuous phase transitions is another important example. Near the liquid-vapour critical point the critical exponents are independent of the chemical composition of the system or of the interatomic forces involved.
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Superconductivity: a poster child for emergence
Superconductivity beautifully illustrates the characteristics of emergent properties. Novelty. Distinct properties of the superconducting s...

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Is it something to do with breakdown of the Born-Oppenheimer approximation? In molecular spectroscopy you occasionally hear this term thro...
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I welcome discussion on this point. I don't think it is as sensitive or as important a topic as the author order on papers. With rega...
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If you look on the arXiv and in Nature journals there is a continuing stream of people claiming to observe superconductivity in some new mat...
Regarding this comment, and not the paper of Laughlin and Pines, I would argue that the Third Law of thermodynamics is at odds with classical mechanics. Do you agree?
ReplyDeleteYes. I agree. This is an excellent point I had not thought of. This is one reason I like blogging because it enables my colleagues to correct my mis-understandings and mis-statements. Thanks, Andre-Marie.
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