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Okay, my comments are getting too much, so I will answer. If I understand your question correctly it says this: Papers show that the non-planar Ising model (finding its ground state) is NP complete On the other hand, finding the eigenvalues of a matrix is polynomial. So how do these points reconcile? The important point here is in the size of the input. ...


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There's no related exception for tachyons. Tachyons' statistics must be determined a priori. Most typically, tachyons have to be bosons – and under certain additional assumptions, they have to be scalar (spin-zero) bosons. They differ from massive bosons just by the fact that the mass term $m^2\phi^2/2$ has the opposite sign – opposite sign of their $m^2$. ...



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