How we cite our quotes: (Chapter.Paragraph)
Quote #4
Though he had come back safely from the furthest borders of sleep, and the nearest borders of death, he had been gone only a week. (15.37)
Hibernation fiddles with time…and as such it's kind of like reading the book, don't you think? You can go to the furthest borders of sleep and the nearest borders of death and 3 million years into the past in only about a week if you read 2001. Hibernation is a kind of reading, only maybe colder.
Quote #5
The ancients had, indeed, done better than they knew when they named this world after the lord of all the gods. If there was life down there, how long would it take even to locate it? (20.14)
This is about the planet Jupiter. As always in 2001, space is quickly linked to time; "the ancients" named Jupiter, reminding you that the planet has been there the whole time, just hanging out and being big.
Quote #6
How strange to think, Poole told himself, that all this had happened more than an hour ago; by now his family would have dispersed again and its members would be miles from home. (21.3)
The distance from earth (through space) is emphasized by disjointed communication. When you go far enough away, time gets stretched out too.