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Am interested in Category Theory application to classification of Airborne Wind Energy Systems (AWES), which is a Work Package in process by the National Renewable Energy Lab (NREL) for the International Energy Agency (IEA). There are many ways to define computable knowledge-based engineering ontologies, and many researchers have specific skills, but Categorical Diagrams are especially intuitive, powerful, and rigorous for knowledge representation teamwork.
With regard to Green Mathematics and Azimuth's Values Commitments, AWE, also known as "Kite Energy", has tremendous potential to perhaps resolve the Holocene Extinction (or make it worse) because no other renewable energy source is so vast, dense, and ubiquitous as Upper Wind. The futurisms are mind-blowing, from game-changing green-energy super-abundance, to decisive climate geo-engineering, to levitating civilization en-masse for a techno-utopian Golden Age (Aerotecture).
Its a mathematical engineering-physics wonderland to contemplate "polymerizing the sky" by directly embodied metamaterial topologies at extreme-scale, with analog-QM phonon dynamics, sonic relativity, and so on. These dynamics apply to any geophysical flow; wind, water, solar wind, etc.. Precise AWES Categorization may inform a Multi-Physics Multi-Solver Sim, to run on an exaflop supercomputer NREL will have access to in 2022.
A starting puzzle, a Rabbit Hole Entrance into exotic AWE science-
A large ship tows another by a polymer rope (hawser) a few cm in diameter. The towed ship's drag and velocity amount to 10MW of thermodynamic work, yet the polymer rope conveying 10MW remains cool to the touch(!) Explain this mechanical superconducting (conservation of energy) according to Phonon QFT or thermodynamics. Extra points for a Feynman or Categorical Diagram.
"We might extend the application of [wind] power to the heights of the clouds, by means of kites."
John Etzler, 1833