Body Powered Batteries -- Thermoelectrics
An Anonymous Coward writes: "According to this story on Yahoo, the folks at Applied Digital Solutions have "developed a miniaturized thermoelectric generator -- a half-inch diameter ceramic-based `battery' that converts low gradient body heat flow into electrical power." Right now they can power watches or small medical devices. How long before these things can power my handheld?"
Wow! That's quicker than fast!
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There is a very simple answer to this problem. The humans were wrong. They _think_ the robots are using them for energy, but they are not. The robots are keeping them alive because their programming won't allow them to kill off the human species. The AIs first tried to create a 'perfect' world for people. They thought they were doing good for them. That failed, so they did what they considered second best for them.
This not only fixes that huge plot hole, but it adds a good amount of complexity and depth to the plot.