Sorry, new here, and my actual mathematical training is v.limited, so I have to restrict myself mostly to thought experiments, alas. Anyway... Whenever I study up on black holes, it doesn't take very long before the text or discussion quickly devolves into how impossibly abberant singularities are, and all the mind-bending issues with information loss and time reversal that they raise. It seems to me (naively perhaps), that black holes would be far more simply represented as purely two dimensional masses with NO interior whatsoever? Given that the Schwarschild radius is directly proportional to mass, shouldn't we consider whether it IS the mass of the object, accreted onto a 2 dimensional surface of the 'maximum' possible density - as opposed to a 0 dimensional object of ∞ density? No singularity, no time reversal, because nothing ever falls INTO a black hole - it falls ONTO a black sphere? Discussed before? Discarded due to mathematical or logical infeasibility? I'm curious. This one has been bugging me for over a year.