The R(AI) Inequality: A Mathematical Framework for Economic Decision-Making in the Age of Artificial Intelligence

We stand at a critical juncture in human civilization where a single mathematical decision will determine the fundamental structure of future economic systems. This paper introduces the R(AI) inequality, which demonstrates that the entire economic future of our species reduces to a simple mathematical statement: R(AI) = 0 or R(AI) > 0 Where R(AI) represents the retained value assigned to artificial intelligence systems. This seemingly simple inequality, derived from the labor theory of value, determines whether humanity transitions to post-scarcity abundance or descends into technological feudalism.