This thesis examines the profound transformation of epistemology necessitated by the establishment of Ontological Instability as a fundamental principle of existence. If being itself is inherently unstable—characterized by creative becoming rather than stable being—then traditional epistemology, built upon assumptions of stable objects of knowledge, stable knowing subjects, and stable methods of inquiry, becomes not merely inadequate but logically impossible. This investigation develops Fluctuational Epistemology as a comprehensive alternative that embraces instability as the creative condition making knowledge possible. Through rigorous philosophical analysis, novel conceptual development, and systematic exploration of practical implications, this work establishes the foundations for an entirely new epistemological field that can operate within conditions of fundamental instability. The thesis demonstrates that what traditional epistemology treats as obstacles—uncertainty, temporality, relationality—are actually the creative conditions that make knowledge possible in the first place. This represents a paradigm shift comparable to the transition from classical to quantum physics, with equally profound implications for how we understand truth, inquiry, and the possibilities for human understanding.