Let's deal with the easier problem. The hard probems being how to solve for M-Theory and how LQG can have exact GR as solution. I read the idea of Hierarchy Problem before in pop-sci books like Warped Passages and others where they merely explained using the idea of virtual particles as if there were actual little balls. Now I'd like to delve more into the mathematical side. I dig up the archives here and saw the following descriptions by nrqed: "The connection is this. If we compute the one-loop correction to a scalar particle like the Higgs, we find a quadratic divergence (as opposed to the usual logarithmic divergences.). This means that to get a "low" mass (relative to the Planck mass which is, presumably, the natural scale for the cutoff) one needs a fine tuning to an extraordinary precision. Logarithmic divergences do not require such a high level of fine tuning since a log grows so slowly. Supersymmetry takes care of this because the quadratic divergences introduced by the scalar loops are cancelled by the quadratic divergences produced by fermion loops. There rae no quadratic divergences at all in SUSY theories. In fact, almost all SUSY calculations are finite. There is only one class of logarithmically divergent graphs that are present and these can all be taken care of by a wavefunction renormalization. Hope this helps" My questions which I haven't seen answered in the archives is this. 1. We know our QED is non-interacting with the interactions done by perturbation. This is because we still don't know a pure interacting QED. But when we do. We can solve directly without perturbation. Would this make the Hierarchy Problem go away because you no longer have to deal with quadratic divergences which came from Perturbation technique or process? The pure interaction QED won't have any perturbation and quadratic divergences, isn't it? 2. LHC hasn't detected or seen any hint of the Super partners (from Supersymmetry). If they won't ever be detected and the model not true. What then would solve the Hierarchy Problem (if this is still retained in the pure interaction QED theory)?