I have come across the following multi-explanations of how Hawking radiation/evaporation of a black hole happens: Particle/anti-particle story: particle/antiparticle pair creation from vacuum near the event get torn apart - one going into black hole, the other away; in some of these explanations the anti-particle always goes in and energy/mass is lost, radiated away by the particle that got away, the particle going in is somehow negative - not very clear to me; other twist is that this separation causes them to be real particles, not virtual particles any more; radiation/evaporation flow from this in some way - explanations of why the Entanglement story there is no particle/antiparticle pair creation - it's just two virtual particles created out of the vacuum and joined by entanglement, again one goes in and one goes away m- not sure what happens to their entanglement; again for some some reason I can't quite grasp the one going in doesn't add but subtracts mass/energy and the one going away also takes some energy/mass away; again there is talk about the particles become real during the process Some combination/permutation/refinement of the above two story Math story is only real story Neither of the stories above are anything but some type of analogy - nothing of the sort happens; it's complicated math at the event horizon and for some reason people have come up with the above not-so-simple actually elaborate scenarios for people who don't have the mathematics so they can understand analogies which aren't real. So reality - math - is more like this: http://math.ucr.edu/home/baez/physics/Relativity/BlackHoles/hawking.html if anybody could illuminate which is the closest answer it would be appreciated. Are the analogy-style answers not even possible? In other words pair-production taking place just outside of the event horizon doesn't play any role at all? It happens but so what as far as radiation/evaporation of black holes - "so what " meaning nothing at all as opposed to a very very very tiny effect. Thanks for any feedback in advance.