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I feel like I haven't been creative lately with my work. Tell me something that you've been thinking about lately that you wish someone would make a quantitative theory for.
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Compute the structural properties (anisotropy, symmetries) and packing efficiency of various parts of the built environment: buildings, containers, interiors of apartments, package shipments, truck loads... apply your physics to it 🙂
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You asked for a "couple", these ain't good enough? Fine, if your range extends beyond solid state physics to fluids, I've been trying to define entropy for calendars, viewed as event flows. For eg. recurring appointment = low entropy.