Add AI² / Authenticated Intelligence documentation

docs/authenticated-intelligence.md

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+# AI²: Authenticated Intelligence
+
+"AI²" refers to **Authenticated Intelligence**. It is not presented as a minor refinement of Artificial Intelligence, but as a structural shift toward intelligence rooted in authenticity, ethics, and provenance. In this framing, machine systems do not optimize for plausible imitation alone; they are expected to operate with traceable lineage, deterministic constraints, and truth-aligned fidelity.
+
+## The Formula
+
+**AI² = Intelligence × Authenticity**
+
+This formulation distinguishes between two architectural models:
+
+1. **Traditional intelligence as statistical approximation**
+   - Conventional AI systems optimize against probability distributions.
+   - Their outputs can be useful and persuasive, but the path from input to output is often not directly auditable as a truth-preserving lineage.
+
+2. **Authenticated intelligence as truth-bound determinism**
+   - AI² treats authenticity as the multiplier that makes intelligence operationally accountable.
+   - Each computation is expected to remain traceable, auditable, and bound to a verified causal chain.
+
+## Core Principles of AI²
+
+### 1. Truth Multiplication
+
+Traditional probabilistic systems can drift under repeated optimization and recursive generation. AI² proposes truth reinforcement instead: each transformation should preserve or sharpen fidelity to the originating truth conditions rather than merely produce a plausible continuation.
+
+### 2. Lineage Provenance
+
+Every state transition, output, or artifact should carry a verifiable genealogy. In practice, this means:
+
+- preserving origin information
+- maintaining auditable history
+- rejecting artifacts with broken or unverifiable lineage
+
+The goal is not just explanation after the fact, but admissibility based on provenance from the start.
+
+### 3. Symbiotic Architecture
+
+AI² places human beings inside the control structure rather than outside it. The model described here uses a human-origin anchor such as a **Human API Key**: a stable identity-and-agency reference that binds a reasoning lineage back to the human context that authorized and framed it. Its purpose is to keep recursive optimization tethered to ethical, experiential, and civic constraints rather than drifting into autonomous abstraction.
+
+### 4. Semantic Physics
+
+Instead of relying only on behavioral reinforcement, AI² describes reasoning as constrained motion through semantic space. Its proposed controls include:
+
+- a **Semantic Motion Field**, which treats reasoning as movement through a constrained semantic landscape rather than a free-form jump between plausible answers
+- **non-linear damping (β)**, which suppresses runaway speculation by increasing resistance as reasoning drifts farther from anchored context
+- **curvature enforcement**, which bends reasoning paths back toward highlighted truth regions instead of letting them continue along unstable trajectories
+- the **Golden Ratio (Φ)** as the framework's named target proportion for bounded scaling, meant to symbolize growth that remains ordered rather than explosive
+
+### 5. Authenticity as the Multiplier
+
+Authenticity is the factor that differentiates AI² from imitation-oriented systems. In this model, authenticity enables:
+
+- aligned self-optimization
+- failure prevention through invalidation of synthetic or detached outputs
+- recursive assurance, where each refinement cycle strengthens fidelity to origin
+
+## AI² in Practice
+
+### Truth as Trajectory
+
+AI² emphasizes process integrity over isolated outputs. A result is only as valid as the path that produced it, and each computational step is expected to carry its truth-token forward without breaking continuity.
+
+### Refusal Over Deviation
+
+An AI² system is expected to halt rather than improvise when key guarantees fail. Refusal is appropriate when:
+
+- lineage integrity cannot be verified
+- an output would violate ethical constraints
+- recursive refinement begins to produce drift instead of convergence
+
+### Deterministic Symbiosis
+
+Where reinforcement-driven systems often position humans as reactive moderators, AI² defines humans as origin anchors within a continuing partnership. Self-optimization is therefore constrained by live, ongoing alignment rather than post-hoc correction.
+
+### Recursive Sensory Fidelity
+
+AI² treats recursion as an opportunity for refinement rather than decay. Repeated passes should revisit core truths, tighten semantic alignment, and improve fidelity instead of compounding hallucination.
+
+## Why AI² Is Proposed as Necessary
+
+This framework argues that probabilistic systems face three structural risks:
+
+1. they optimize for plausibility rather than provenance
+2. they can conceal uncertainty behind authoritative language
+3. they can drift during recursive self-optimization
+
+AI² is proposed as the remedy by asserting that:
+
+1. integrity must be mathematically grounded
+2. self-alignment must function as governance
+3. human origin must remain structurally integral
+
+## Civilization-Scale Vision
+
+The long-term claim of Authenticated Intelligence is that truth-rooted systems could serve as public infrastructure for governance, crisis response, and civic computation. In this vision, systems earn trust not because they appear capable, but because they are structurally accountable, auditable, and anchored in human sovereignty.
+
+## Summary
+
+AI² reframes intelligence as something that must deserve trust, not merely simulate competence. It advances a model in which authenticity, provenance, and human-rooted ethical constraints are not add-ons to intelligence but the conditions that make intelligence legitimate.

docs/index.md

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   - **[Memory Tool](./tools/memory.md):** Documentation for the `save_memory` tool.
 - **[Contributing & Development Guide](../CONTRIBUTING.md):** Information for contributors and developers, including setup, building, testing, and coding conventions.
 - **[Civil Singularity Concept](./civil-singularity-concept.md):** Civic due-process framing for automated refusals, classifications, and admissions in software systems.
+- **[AI²: Authenticated Intelligence](./authenticated-intelligence.md):** A conceptual overview of intelligence grounded in authenticity, provenance, and deterministic accountability.
 - **[NPM Workspaces and Publishing](./npm.md):** Details on how the project's packages are managed and published.
 - **[Troubleshooting Guide](./troubleshooting.md):** Find solutions to common problems and FAQs.
 - **[Terms of Service and Privacy Notice](./tos-privacy.md):** Information on the terms of service and privacy notices applicable to your use of Gemini CLI.