Boltzmann Distribution

Yea, I enjoy using laws of natural sciences to explain social sciences phenomena. I made an analogy about life from the kinetic energies of water molecules in a basin, I talked about equilibriums and closed-systems much like those in thermodynamics, and I discussed about really unrelated science theories and laws and apply them on human interactions. There’s one particular law in science that I am particularly interested in applying but never had a chance to. It’s the Maxwell-Boltzmann Distribution and I thought if there’s this day, when our income distribution follows that, capitalism would never have met its rival, communism at all.

I am not sure if it comes naturally to you all but the Maxwell-Boltzmann Distribution presents the idea that the smaller the pie to share, the stronger the tendency for some big guys to just snatch it away and stuff it into his mouth. Conversely, if the pie gets bigger, the tendency that it is shared becomes greater. Taking the ‘kinetic energy of particles’, which is the x-axis of the distribution curve as ‘wealth of individuals’ and the ‘probability density’ as the y-axis, and the temperature increments as total wealth aggregation, you will be able to visualize how we apply this distribution to the economics. I acknowledge that inequality will remain, and the beauty about this distribution that we have this hope, that while aggregate wealth increases, the inequality gap can be closed – or at least we are tending toward an asymptotic closing of the gap. Wishful Thinking.

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