The Post-Silicon future
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IBM is hoping it will be the first to find out. Not one to shy away from the big bets, IBM is putting $3B into researching the next step, including having a go at 7nm processes, new semiconducting materials like Gallium-Arsenide, and technologies like carbon nanotubes and graphene. At 7nm, the game changes significantly, and quantum physics begins to matter as much as traditional physics. Steve Torbak points out there's hope for technologies like racetrack memory and neuromorphic memory, too.
Or maybe, there's still room for improvement with what we've got. We're not done with Systems-on-a-Chip, after all, and DARPA has recently taken this approach to put an entire communications stack on a dime-sized chip.
[Ed. note: All I know is, to watch the next generation of silly cat videos, we're going to need a serious boost in hardware. /grin]