Quadrity and the Integrative Theory of Science (ITS): A Fractal Four-Valued Ontology for Resolving Paradoxes and Bridging Levels of Reality

A foundational challenge in formal ontology and the philosophy of science is explaining how distinct strata of reality—such as subjective first-person phenomenology and objective third-person physiology—can exhibit structural isomorphism without collapsing into eliminative reductionism or substance dualism. While the Integrative Theory of Science recently established a deterministic methodology for translating experiential reports into falsifiable empirical hypotheses via a four-dimensional structural vector comprising localization, quality, dynamic system valence, and temporal dynamics, the ontological ground of this fourfold vector has remained open. This paper introduces the formal ontology of Quadrity and crosses its axiomatic architecture with the Integrative Theory of Science. Moving beyond classical binary logic and triadic Hegelian dialectics, Quadrity establishes a fractal, self-similar ontology governed by four irreducible poles: affirmation, negation, structural neutrality, and holistic simultaneity. Within this system, every existent entity is constituted by the chiastic tension between a relatively absolute, time-invariant genotype and an absolutely relative, time-bound phenotype. Although genotype and phenotype mutually condition and exclude each other on any static plane, their quadritarian unification converges into an ontological singularity that generates an autonomous new whole: living existence. We demonstrate that the four factors of the Integrative Theory of Science are direct fractal instantiations of the four poles of Quadrity. Finally, we prove the explanatory power of Quadrity by formally resolving five persistent paradoxes across philosophy of mind, metaphysics, quantum foundations, autopoietic biology, and emergence theory.