Wealth Distribution: A Boltzmann-inspired Perspective
Yesterday, I talked with a client about Boltzmann's distribution and how it changes with temperature. Today, I had fun making an animation with ChatGPT to show how the distribution shifts as temperature increases. In the animation, the X-axis represents the velocity of N2 gas, and the Y-axis shows probability. Different colors represent the distribution at different temperatures. As temperature rises, the distribution becomes broader. The right-hand side, representing higher velocities, extends further with increasing temperature. I thought about relating this to the real world. Instead of velocity, I considered wealth, and instead of temperature, I thought about the wealth of nations. Developing countries aim to push their population towards the right side of the curve, where people transition from poverty to the middle class, and then to self-sufficiency and prosperity. In an ideal society, we need a single narrow peak at the right-hand side of the graph. But that will never be a...