If we could fire single carbon trajectories into nantube tube arrays we might be able to fashion a huge variety of designed nanotube structures. Approximately create 3D momentum and position; then we can define the energy band and angle upon arrival, the we set the bond type and placement.
Optimal Transport has bitten me, uh oh,here comes the human web search again? But my idea here is that a chem factory made of nanotube units can be made to flow like a factory. So what is my basic unit here? A large buckey ball that holds it own catylist atom. It has two input ports and one output. These units can laid out in stages. In the math run the thing backwards, input one alcohol and it creates and distributes its components. But in reality run it forwards and make alcohol from the Sun. I think Shannon here is a good enough approximation for design purposes.
In the factory we have nanotube, 3D carbon cannons, and we make sheets of these little factories. Sell them to aqua farmers in the gulf. A trillion dollar business. Boom times.
One more thing, there is a book, Optimal Transport by Cédric Villani.
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