You can apply information theory to UIs to compute a form of efficiency.
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And you can compare the number of bits the user must supply to the number of bits actually needed.
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I don't know if there is a single law but if you have access you can look at Fundamentals of Skill by Welford (1968). If I recall, the book had many experiments on efficiency and upper bounds due to various perceptual, cognitive, and physical limitations in humans.
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cognitive psychology. PhD