The "Cobb-Douglas Production Function" dominates Neoclassical macroeconomic models today. Decades ago, Anwar Shaikh showed that it's "excellent fit to national data" occurred because it is simply a transformation of wage and profit data under conditions of a slowly changing distribution of income, while Mankiw showed that to fit international data, the coefficient for capital had to be increased from 0.3 to at least 0.8.
My insight that "labour without energy is a corpse; capital without energy is a sculpture" shows that, when energy is included, the exponent for energy has to be about ten times the value Neoclassical economists use, and the best fit to the data comes from the Leontief Production Function that is used by Post Keynesian economists.
Friede Gard Lecture 04 The Fantasy Production Function