I'm really interested in noted inconsitencies in physics since historically major progress was achieved by refusal of some to ignore an inconsistency, because that is often the last thing people talk about (as opposed to open questions). I know a couple that occupy my mind, but I am always looking for more such inconsistencies. It's in such a state of mind that I would like to know which problem you refer to in your last sentence, and not in the state of mind of bashing the perceived outsider.