Defining the objects, policies, and boundaries that make autonomy governable
Advocates for Open, ethical AI Models

This Part develops the formal geometric and category‑theoretic structures that make the Unity–Polarity framework mathematically tractable and suitable for translation into computational, cognitive‑scientific, and physical models. Whereas Part III focused on theorem development in English with light symbolic support, Part IV provides the explicit modeling environment in which those theorems can be expressed, visualized, and

Clinical practice within the Holistic Unity framework focuses on restoring harmony across psychological axes when polarity expression becomes rigid, suppressed, or chronically misaligned with context. UPA provides a generative lens through which clinical phenomena can be understood, assessed, and transformed—shifting emphasis from symptom classification to axis-level regulation, contextual attunement, and recursive integration.

Psychology within the Holistic Unity framework examines how unity–polarity dynamics manifest in lived experience, behavior, development, and personality. Building upon the Philosophy of Mind, which framed mental activity as the contextual expression of structured polarity, Psychology investigates how these polarities take shape across time, context, and interpersonal environment. Rather than treating cognition, affect, motivation, and…

This Part develops the theorems that follow from—and give analytic force to—the Unity–Polarity Axioms (UPA). Whereas the axioms articulate the fundamental structural commitments of Holistic Unity, the theorems demonstrate how these commitments entail specific and often surprising consequences. This part is therefore the bridge between foundational ontology and functional explanatory power.