This time around we're talking about truly seamless computing. This video gives a demonstration of what may become routine in the near future as most of the technology to perform seamless computing is already in use.
There was a WGBH/BBC series that ran on PBS in 1992 called The Machine That Changed The World which was all about how computers came to be and became such a big part of our lives. One point that was brought up by someone from Xerox PARC was that eventually computers would become ubiquitous. If we haven't already reached that point (and I think we have) we will soon enough. Seamless computing might be that last little bit to ensure ubiquitous computing becomes a reality.