A Cyclic Epistemological Framework for Closing Conceptual Gaps in Contemporary Physical Theories: The G6–X–Q9–N Cycle and the Vectorial Structure of the Kiawe Principle of Matter

Contemporary physical theories — General Relativity, Quantum Mechanics, Quantum Field Theory, Thermodynamics, and Cosmology — exhibit strong internal consistency within their respective domains yet remain conceptually incompatible when considered together. This manuscript introduces the Kiawe Epistemological Framework (KEF), a non-ontological and non-theoretical structure designed to close the conceptual cycles left open by these models. KEF does not modify physical equations nor propose new physical entities; instead, it provides a cyclic epistemic architecture (G6–X–Q9–N) that interprets each theory as a phase of a coherent process. By grounding the framework in the universal empirical principle of the pupil as the zero point of the internal domain, and in the vectorial structure of the Kiawe Principle of Matter — expressed in the functions X, EXNZSP8, Y, N, NZ — KEF demonstrates how the separation between observer and observed and theoretical fragmentation derive from a perceptual torsion rather than an ontological division. The result is an epistemic model offering a structural path toward the unification of theories within a single coherent and universally recognizable architecture.