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user26143 gives a correct argument about the effects of entanglement in two-atom processes, but specifically to your question, I have to reiterate the answer 1) You are not talking about entanglement …

Statement of problem One of the key insights of the KAM theorem is that not all modes of the perturbation have the same size. Consider an unperturbed integrable Hamiltonian $H_0(J^A)$, where the indic …

You are correct, you cannot assume that $h_{\mu\nu,\gamma} \ll 1$ based only on the fact that $h_{\mu\nu} \ll 1$. The fact that $h_{\mu\nu,\gamma} \ll 1/L$, and that $h_{\mu\nu,\gamma\delta} \ll 1/L^2 …

The Post-Newtonian expansion allows us to describe the gravitational dynamics of the given situation in terms of Newtonian forces acting on a "Galilean" i.e. non-relativistic bodies. However, this mea …

Notice that you are asking for the general form of the inverse matrix of some $A+B$ only under the assumption that we know the inverse $A^{-1}$ and that $A+B$ is non-degenerate. In dimension 4 there i …