Relatively Human, Season 2 Episode 4: The Map That Makes the Territory

John Snow built a correct theory of cholera transmission without knowing what a bacterium was. Charles Darwin formulated natural selection while actively believing in an incorrect theory of heredity. Sadi Carnot derived the exact maximum efficiency of a heat engine while believing heat was a weightless fluid called caloric.

How is it possible to be completely wrong about the microscopic details but perfectly right about the macroscopic laws?

This episode explores the physics of effective field theories and the concept of "separation of scales". Physicist Kenneth Wilson mathematically proved that when the gap between scales is large enough, irrelevant microscopic details wash out exponentially. What survives this "blurring" is a complete, stru ...