Necessity of Conserved Quantities for Axiomatic Completeness of Classical Economic Theories

Many economic theories have been introduced over the course of history to articulate our understanding of the economy. Classical theories by Adam Smith and David Ricardo's Comparative Advantage have been foundational for the last century's work. Improvements have been achieved over time, incorporating insights from many disparate fields of study: contemporary frameworks like Behavioural Economics and Information Economics, which incorporate psychological insights and deviation from rational decision-making and insights from network theory and how the information flow affects the market behaviour, respectively. In this paper, I motivate the necessity of incorporating insights from Physics, and also show that trade as a phenomenon described by the comparative advantage theory cannot exist without the law of conservation of Energy, and incorporating this law leads to axiomatic completeness of the theory. Further, I also argue that while the economy is not a zero-sum game in terms of wealth, it does require at least one associated zero-sum parameter for trade and economy as phenomena to exist.