The idea of computing power becoming so powerful that it will create a Utopian society complete with sentient robots and humans merging with computers to essentially become immortal is an idea that I have heard in the past. But I really have never looked into it beyond the thought that it seemed rather grandiose, and if it ever occurred I would not be around for even the beginnings of it.
However, there are people who are predicting that this technological singularity is going to occur sometime in the 2030s. Sam Ogden of Skepchick has
a nice writeup on those who hold these opinions.
This seems all too fantastic for me. Just the hurdles of creating computer AI and interfacing humans with computers on a larger scale seem to be formidable tasks that will not be easily overcome. Couple this with predictions for the future being notoriously difficult and you'll have a tough time guessing what life will be like in 5 years let along 10 years.