Fisher's Ghost: How a Statistics Formula Became a Law of Physics
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Fisher's Ghost: How a Statistics Formula Became a Law of Physics
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概要
In 1925, Ronald Fisher created a formula to estimate parameters from noisy data. Today, Fisher information has escaped statistics to become a fundamental quantity in quantum mechanics, evolutionary biology, and thermodynamics. From the Heisenberg uncertainty principle to the rate of natural selection, the same mathematical structure governs the flow of information.
This episode of Relatively Human investigates the "Cramér-Rao bound"—a universal speed limit on knowledge—and Chentsov’s proof that Fisher information is the unique metric of probability space. We then explore the leading theories explaining this mystery: Roy Frieden’s controversial proposal that information generates physics, and the Dimensional Scaling framework’s conjecture that Fisher information measures the effective dimensionality of our world. Join us as we hunt for Fisher’s ghost in the machine of reality.