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

In Part 1 we introduced why spheres and hyperspheres (S², Sⁿ) are the natural geometric setting for the Unity–Polarity Axioms (UPA). In this post we focus on the core structure: a single sphere and a single polarity. This is the geometric heart of UPA.

This post introduces the idea and explains why spheres are the natural geometric home for UPA. Later posts in this series will progressively unpack the formal structures.

From predictive processing to neural oscillations, from emotion–cognition loops to plasticity — UPA provides the structural logic behind the brain. And Open SGI systems built on UPA inherit the strengths without the evolutionary liabilities.

UPA doesn’t replace classic theories. It provides the deep structure that makes them intelligible and compatible.

Psychology has produced some of the most influential models of mind, identity, conflict, motivation, and consciousness. Each major tradition—psychoanalytic, humanistic, cognitive, analytic, neurobiological, phenomenological, and computational—captures part of the truth. What the Unity–Polarity Axiom System (UPA) offers is a structural framework that: integrates these theories, resolves contradictions between them, and provides a foundation for modeling…

Humanity has long recognized that opposites are not merely sources of tension but the generative architecture of reality, mind, and meaning. Philosophers across cultures and centuries have described this insight with remarkable consistency. The Unity–Polarity Axioms (A1–A2) of the UPA framework does not merely echo these insights — it formalizes them into a mathematically coherent,…