Drexler–Smalley debate on molecular nanotechnology https://en.wikipedia.org/wiki/Drexler%E2%80%93Smalley_debate_on_molecular_nanotechnology …
As far as I'm aware, it's standard physics that both position and momentum (but ofc not both at once) variance can be reduced arbitrarily. Indeed, LIGO has begun using squeezed states (of light, not matter, but the idea is the same) to improve their strain sensitivity.
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Still, I'd be interested to see Eric's calculation if he has one beyond what anyone familiar with basic quantum physics sees.
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Chapter 5 of Nanosystems goes over the physics of this in exhaustive detail, deriving all the necessary equations to figure out what positional uncertainty from both thermal and quantum sources will be. It's hard to read if you don't have a background, straightforward if you do.
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Mechanical devices have to be simultaneously precise as to both position and momentum.
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That puts severe limits on how small they can be made and retain sufficient precision.
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