Set Theory in Javascript

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Vortex Solution to Navier Stokes Equations

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This is a solution I found to the Navier Stokes equations . It uses the flow lines of the Hopf Fibration (which is basically just a way of covering the entire 3D space in circles). The flow lines can be seen in this image below: You can see my paper here. Solution to Navier-Stokes equation . Unfortunately I won't get a million pounds for winning the Clay Millennium prize because this is a compressible not incompressible solution. :( Oh, well. Nice try! I think it's pretty nice anyway. :) Also it uses the nice identity: which paramaterizes the Pythagorean quadruples!
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An Exceptional Supersymmetry

An Exceptional Supersymmetry It is proposed in this article a way to construct an exceptional supersymmetry distinct from the family of usual supersymmetries usually labelled by N. (N=1, N=2, N=4 and N=8). It relies on the special properties of the root system of E 8 . It is a different kind of super-symmetry in that the superpartners don't have the same charge but together the charges from all the particles in the representation form a group. In a nut-shell we are assigning spins to elements of the E8 algebra and promoting them to super-symmetry operators. The special properties of E8 allows us to do this. Introduction The similarities between  N=8 Supersymmetry with 256 generators and the group E8 with 248 generators is suggestive that there might exist a combined structure with properties of both. Noting that E8 can be split into a bosonic part (a representation of O(16) ) and a fermionic part a spinor representation of O(16). We can assign a "spin" to each...
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M-Theory equals Loop Quantum Gravity?

A string world sheet can be decomposed into a sum of Feynman diagrams (graphs). Likewise a membrane should be decomposed into a sum of graphs also (or spin-networks). Hence Loop Quantum Gravity should be considered as a membrane theory. The differences are that Loop Quantum Gravity is a gravity only theory with no supersymmetry. It only exists in 4 dimensions whereas M-Theory exists in 11 dimensions.
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