We’re not building a machine that calculates answers, he says; instead, we’re discovering questions. Nature’s shape-shifting laws seem to be the answer to an unknown mathematical question. This is why Arkani-Hamed and his colleagues find their studies of the amplituhedron so promising. Calculating the volume of the amplituhedron is a question in geometry—one that mathematicians might have pondered, had they discovered the object first. Somehow, the answer to the question of the amplituhedron’s volume describes the behavior of particles—and that answer, in turn, can be rewritten in terms of space and time

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