It has been repeatedly explained to me that from the perspective of an outside observer a particle takes "infinite time" to cross the event horizon of a black hole. Also, according to these explanations there is no information inside the black hole because nothing gets inside. Then I read answers to the contrary. Whether or not a particle can cross a horizon does not seem to be answerable when an "infinity" is used to describe events in time. I am not trying to make any statements by this question. I am asking for knowledge that is not conflicting because I also see many questions on this website (with answers) that deal with particles hitting a singularity, inner horizons and how an observer would feel when crossing the horizon for different size black holes (for examples) I hope no-one minds me splitting this question into two parts because I need to do so...
1) Does space-time curvature actually reach infinite curvature at the event horizon boundary?
and therefore...
2) Does anything cross the event horizon?