Q1 - hawking radiation hinges around spontaneous particle pair creation near the EH of a BH. the spontaneous pair can only exist for less than the planck time. how can either of the particle pair travel a far enough distance in that ridiculously small amount of time to actually cross the EH before recombining back into nothingness? it seems like they dont exist for a long enough time to do anything but pop into and out of existence. (notwithstanding that i STILL have no understanding of why ONLY the negative energy particle is "allowed" to fall into the BH, while the "positive energy particle is somehow excluded from being able to fall into the BH). (also notwithsthanding that after (trying)reading hawking's essays in "the nature of space and time" with roger penrose, i find penrose's writing to be accessible and reasonably understandable, while hawking's writings are COMPLETELY obtuse and not even close to understandable, which reminds me of feynman's comment about "if you are not able to convey a concept to a laymen, it means you do not understand it well enough yourself"...) Q2 - in alan guth's wonderful book, the inflationary universe, i think he is inferring that for at least some small period of time, the universe expanded at a speed greater than the spped of light. is that correct? and if so, how could any material of the early universe have moved faster than the speed of light without violating the rule of matter being unable to reach or exceed C? thanks.