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Anomalies
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Anomalies, please read!
replied on: 11/27/2006 3:13:55 AM I do not know the Radon Transform. My studies have consentrated on what are known as supermanifolds. Simply, these are manifolds that have some anticommuting coordinates. eg. {x, \theta} with x^{i}x^{j} = x^{j}x^{i} and \theta^{a}\theta^{b} = - \theta^{b} \theta^{a}. You also can have super-Hilbert spaces, but I have not looked at these. |
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Euler
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Anomalies, please read!
replied on: 12/9/2006 12:15:33 PM Did you say that you have worked with Foch spaces? I just ask because I was looking over a paper, while trying to read about supermanifolds, which was talking about supersymmetric Foch spaces, so I thought your work in supersymmetry may have led you to work on this spaces. Also, does your work involve fractals as well. I am not very knowledgable on fractal, but I believe they have to do with fractional dimensions (like those arising from the Cantor set), and while looking into supermanifolds, I saw somewhere that it said the dimension of the superdomain is p/q. |
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Anomalies
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Anomalies, please read!
replied on: 12/9/2006 4:09:18 PM I have not looked into super-Hilbert or Fock spaces. I know that de Witt covers them in his book. (His definition of a supermanifols is not what is used today). I know very little about fractals. I have used the computer to generate some Julia sets in the past, but that is it. The dimensions of a supermanifold is specified by two numbers, (p,q) as you called them. p is the number of even coordinates and q the number of odd coordinates. (It is similar to how you define things on complex manifolds in terms of holomorphic and anti-holomorphic parts). It is not a fractal dimension. |
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Euler
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Anomalies, please read!
replied on: 12/19/2006 10:19:47 PM So I take it that q divides p then? |
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