Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the road to the chemist, but that's just peanuts to space.
— Douglas Adams, HHGTTG
One way to get an idea of what's in store for the internet is to peek over the technical horizon by reading the Internet Drafts put out by the Internet Engineering Task Force (IETF) and the Internet Research Task Force (IRTF).
One interesting current research area is that for Delay Tolerant Networks (DTNs); networks where the conventional TCP/IP assumptions of continuous connectivity and "low" delay are broken. One of the things this translates into is standards for an Interplanetary Internet, but it also has relevance for sensor networks, communications with submarines and web access for reindeer herders.
[Updated 20051030 with new URLs.]