Your analysis is good but static. There is a bigger dynamic problem where your economic system relies on eternal compounded growth and anything less will resul

Your analysis is good but static. There is a bigger dynamic problem where your economic system relies on eternal compounded growth and anything less will result in utter collapse. The planet is a fixed size. Therefore the only question is when is the collapse, not if they'll be one. A side issue is recent history over the past couple centuries has revolved around replacing old forms of energy with new ones orders of magnitude cheaper. So far its worked out well. Because we haven't collapsed yet isn't a justification for it always working in the future. And now we're pretty well done with oil and coal with nothing to replace them, certainly not something orders of magnitude better to continue the trend of growth. Another interesting exponential is the economy seems to do better with exponential growth in native population. Those aren't growing because economic conditions are awful. That leads to even worse economic conditions, leading to even lower population birth rates...