the rule of Kurzweil
Nanotechnology will let us build computers that are incredibly powerful. We’ll have more power in the volume of a sugar cube than exists in the entire world today.
Ray Kurzweil has shown that our technology is now doubling its capabilities every year. This exponential growth in the form of 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, etc. clearly shows that though the pace begins slowly, there is massive change packed into the last few years of any sample period of time. In other words, it sneaks up on you. Computer processing power will increase 1000+ fold during the next decade, one million fold over the next two decades, and a billion fold in three decades. Considering the current power of our computers, a billion-fold increase in computational power is almost unimaginable. This will lead to presently unimaginable applications for this abundance of inexpensive computer power. As processing power grows, the mass and volume of physical material required will also shrink significantly. These trends have steadily progressed at a slowly increasing, exponential pace since before the first electronic computer, and will continue until we run hard up against the atom (and ultimately the Singularity.)