That limit is quite low, as evidenced by a digital watch.
Not necessarily. Sub-threshold operation is possible and Vth can be
very low. There is a lot of work in this area because leakage is
such a big problem.
I thought that when you made a low Vth, you always got a higher
leakage. It seems that this must be true if the GM is to remain
finite at the extreme of Vth=0.
Probably the wires from the battery. ;-)
It is likely the leakage in the supply capacitors would be more than
in the wires. Also if the supply has Schottky diodes in it, the
leakage in them will be high. If we are considering subvolt Vdd then
the recifier would likely be a MOSFET.
However, 1Hz x 1Billion is an absurdity to show an example.
I see it more as an extreme case to make the argument clearer, but yes
it is absurd.
How
about a MHz by a thousand? If the parallelism problem can be cracked
there are all sorts of games that can be played with all those free
transistors.
Parallelism has been cracked for special case problems. The very
large CPU time users seem also to be the places where the problem is
parallel in nature. Modeling the flow of fluids, explosions and the
propigation of waves through nonuniform mediums are the things that
come to mind quickly.