"Moore’s
Law (that the number of transistors placed on a chip keeps doubling
every 18 months or so) has been true for more than 40 years and is
likely to remain true at least until about 2020, by which time it should
be technically possible to put a single bit of information on a single
atom. At such tiny scales, the switching time of an atom (the time taken
to switch a “0” state into a “1” state,...
or vice versa) is femto-seconds, i.e. 10^-15 of a second. There are a
trillion trillion atoms in any hand held object, so if each atom could
be “nanoteched” into a “nanocomputer”, with each atom switching in
femto- seconds, then the total computing capacity of such a hand sized
device would be about 10^40 bits a second, which is about 10^24 (i.e. a
trillion trillion) times the equivalent estimated switching capacity of
the human brain (which is thought to be about 10^16 bits per second).
Reversible (i.e. non heat producing) computing techniques will allow 3D
circuits to be made with virtually no limit to size, since there would
be no heat dissipation problem, as we have today. One is then free to
conceive of asteroid sized computers with a bit processing rate of about
10^60 bits per second, vastly superior to the human race. With asteroid
sized (topological) quantum computers, with their exponentially
superior processing speeds compared to today’s classical computers, the
superiority becomes even more astronomical."
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