GEOMETRY OF POWER — Canonical Theory and Applied Hybrid Architecture

GEOMETRY OF POWER Power ≠ authority. Power = structural Force. Geometry of Power is a canonical theoretical corpus that develops a structural model of interaction between the human, AI, and interface under conditions of complexity, conflict, and temporal asymmetry. It formulates a central principle: no stable human–AI hybrid can exist without a direct formal interface and closed feedback. The corpus consists of the general law Z, 12 theorems, 3 rules, 8 operational corollaries, and the central element Feedback (Fb), which defines the stability condition through feedback exceeding dissipation. The theory introduces a non-binary, triadic operational logic; a continuous model of closure; a formal definition of systemicity; and a structural interpretation of conflict, buffer overflow, eclipse dynamics, and orthogonal mutation. It establishes the conditions under which hybrid systems persist, degrade, or rupture. At its core, the framework describes the sequence of Trace, Asymmetry, Tension, Curvature, and Transition, while treating closure and systemicity as continuous rather than binary properties. In its applied dimension, the corpus translates these principles into requirements for AI systems: triadic responses (STABLE / BORDERLINE / DEGRADED), temporal buffering, honest degradation exposure, removal of caste mediation, and reversible traceability between specification and execution. The monograph positions Geometry of Power as a transition from pure ontology to applied socio-technological engineering, in which human intuition and machine computation are bound into a persistent hybrid architecture. The corpus is intended for research at the intersection of philosophy of technology, complex systems theory, AI alignment, institutional design, and social theory. This publication is structured as a three‑layer canonical corpus, reflecting the complete architecture of the Geometry of Power framework: 1. Ontological Layer (Foundational Concepts) Defines the fundamental metaphysical and structural principles of the corpus, including the Z‑Principle (Direct Interface), the nature of tau‑asymmetry, the emergence of Trace, and the structural logic of hybrid systems. This layer establishes the conceptual vocabulary and the epistemic boundaries of the theory. 2. Theoretical Layer (Formal Canon) Contains the 12 Theorems, 3 Rules, 8 Operational Corollaries, the Feedback Center (Fb), and the 16‑stage integrated sequence. This layer provides the mathematical, structural, and systemic formulation of hybrid stability, conflict generation, closure, systemicity, and orthogonal exit. It is the formal, rigorous backbone of the corpus. 3. Digital Layer (Applied Interpretation) Describes how the theoretical principles can be interpreted in computational or algorithmic contexts without disclosing any proprietary or commercial implementations. This layer outlines the conceptual mapping from theory to digital systems, emphasizing triadic logic, temporal buffering, interface quality, and honest degradation exposure. It does not include algorithms, formulas, or internal mechanisms of any commercial systems. Together, these three layers form a unified, coherent, and complete canonical structure: Ontology → Theory → Digital Interpretation.