Thanks Arituay. I´ll take a time to read it. I am afraid quite a time and I am not confident in grasping all the math there. But I already see in the abstract that the scheme hypotheses at least one extra dimension being of enough large scale, which would call for the Gauss´Law despite cmsavage objections concerning the subset of brane/string theories with all the extra dimensions small.

And not that I can see why the Gauss´Law would not apply to small dimensions, with the provision that the enclosing hypersurface would look like an hyperspaghetto. I hope I will find some reference to it in the paper and that it is not just something that brane/string theorists wish for.