For more than two centuries, economic theory has been grounded in the assumption that scarcity constitutes the fundamental condition of human societies and that the principal task of economic systems is the efficient allocation of finite resources. However, the accelerating convergence of artificial intelligence (AI), autonomous production systems, advanced robotics, additive manufacturing, decentralized digital infrastructures, and emerging quantum technologies increasingly challenges this foundational premise. These technological transformations are creating unprecedented capacities for continuous value generation, radically reducing the dependence of economic production on traditional constraints of labor, capital, and material scarcity. Consequently, the scarcity paradigm that has shaped classical, neoclassical, and even many contemporary economic theories is becoming progressively inadequate for explaining the dynamics of emerging socio-economic systems.This article introduces the Infinity Economy as a novel conceptual framework for understanding post-scarcity economic systems in the age of AI and quantum abundance. Rather than conceptualizing economics as the science of allocating scarce resources, the Infinity Economy redefines it as the science of designing and governing generative systems capable of continuously producing cognitive, informational, technological, and relational value. Integrating insights from complexity economics, artificial intelligence, innovation studies, digital political economy, systems theory, and governance scholarship, the paper develops a theoretical architecture that explains how autonomous production, distributed intelligence, decentralized infrastructures, and AI-mediated coordination are transforming wealth creation, exchange mechanisms, and institutional organization.The article makes three principal contributions. First, it critically examines the theoretical limitations of scarcity-based economics under conditions of accelerating technological abundance. Second, it proposes the Infinity Economy as an integrative paradigm grounded in generative value creation, distributed governance, cognitive capital, and regenerative economic systems. Third, it identifies the institutional, ethical, ecological, and governance challenges associated with the transition toward post-scarcity societies while outlining a future research agenda for economics beyond scarcity. By reconceptualizing economic systems as adaptive, self-generating, and AI-enabled ecosystems, the Infinity Economy provides a foundation for rethinking economic theory, public policy, and sustainable development in the twenty-first century.