Semi-classical black holes with large N re-scaling and information loss problem

We consider semi-classical solutions of black holes and related re-scalings with large N massless fields to study the information loss problem. For a given semi-classical metric solution of a N = 1 universe, we can find another solution of a large N universe by using re-scaling. Here, after the re-scaling, any curvature quantity takes a sufficiently small value without changing its causal structure. A large number of massless fields is realized from large black holes in the brane world with many D3-branes and also from small black holes in the brane world. From re-scalings, we argue that black hole complementarity or violation of locality for semi-classical black holes cannot provide a fundamental resolution of the information loss problem. We claim that any fundamental resolution of the information loss problem should resolve the problem around singularity.