3 papers
physics.soc-ph2026
AI Hastens Limits to Exponential Growth
Robert T. Nachtrieb, Steven J. Smith
At any sustained positive growth rate of energy demand, depletion of all terrestrial energy resources, including non-renewable deuterium fusion and renewable solar, occurs within a…
physics.soc-ph2026
Equations of Motion for an Economy: Capital Deepening, Technology, and Firm Survival
Robert T. Nachtrieb
We derive equations of motion for capital deepening in a competitive economy directly from accounting identities, without assuming a production function. A profit imperative $η^* \…
physics.soc-ph2026
Statistical Mechanics of Household Income and Wealth: Derivation from Firm Dynamics via Maximum Entropy and Mixture Aggregation
Robert T. Nachtrieb
The distribution of income and wealth in developed economies exhibits a robust two-class structure: an exponential (Boltzmann--Gibbs) bulk covering of the population,…